%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG120+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 17:36:08 EDT 2022
% Result : Theorem 215.84s 215.99s
% Output : CNFRefutation 217.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 158
% Number of leaves : 4493
% Syntax : Number of formulae : 23177 (5040 unt; 34 def)
% Number of atoms : 94296 (79217 equ)
% Maximal formula atoms : 176 ( 4 avg)
% Number of connectives : 110217 (39098 ~;51556 |;18913 &)
% ( 610 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 209 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ) ).
fof(ax10,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) ) ) ).
fof(ax11,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) ) ) ).
fof(ax12,axiom,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ) ).
fof(ax14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = op2(e20,e20) ) ).
fof(ax15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = op2(e21,e21) ) ).
fof(ax16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = op2(e22,e22) ) ).
fof(ax17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = op2(e23,e23) ) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_10
<=> ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_109
<=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_11
<=> ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_12
<=> ( ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ) ).
fof(definition_6,definition,
( definitionFOFtoCNF_129
<=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_13
<=> ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ).
fof(definition_8,definition,
( definitionFOFtoCNF_130
<=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ) ).
fof(definition_9,definition,
( definitionFOFtoCNF_131
<=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ) ).
fof(definition_10,definition,
( definitionFOFtoCNF_14
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 ) ) ).
fof(definition_11,definition,
( definitionFOFtoCNF_15
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 ) ) ) ).
fof(definition_12,definition,
( definitionFOFtoCNF_16
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ) ).
fof(definition_13,definition,
( definitionFOFtoCNF_17
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ) ).
fof(definition_14,definition,
( definitionFOFtoCNF_18
<=> ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ).
fof(definition_15,definition,
( definitionFOFtoCNF_19
<=> ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ) ).
fof(definition_16,definition,
( definitionFOFtoCNF_2
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ) ).
fof(definition_17,definition,
( definitionFOFtoCNF_20
<=> ( ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ) ).
fof(definition_18,definition,
( definitionFOFtoCNF_21
<=> ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ).
fof(definition_19,definition,
( definitionFOFtoCNF_22
<=> ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ).
fof(definition_20,definition,
( definitionFOFtoCNF_23
<=> ( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ) ).
fof(definition_21,definition,
( definitionFOFtoCNF_24
<=> ( ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ) ).
fof(definition_22,definition,
( definitionFOFtoCNF_25
<=> ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ) ).
fof(definition_23,definition,
( definitionFOFtoCNF_26
<=> ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ) ).
fof(definition_24,definition,
( definitionFOFtoCNF_27
<=> ( ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ) ).
fof(definition_25,definition,
( definitionFOFtoCNF_28
<=> ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ).
fof(definition_26,definition,
( definitionFOFtoCNF_29
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 ) ) ).
fof(definition_27,definition,
( definitionFOFtoCNF_3
<=> ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ).
fof(definition_28,definition,
( definitionFOFtoCNF_4
<=> ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ) ).
fof(definition_29,definition,
( definitionFOFtoCNF_5
<=> ( ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ) ).
fof(definition_30,definition,
( definitionFOFtoCNF_6
<=> ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ).
fof(definition_31,definition,
( definitionFOFtoCNF_7
<=> ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ).
fof(definition_32,definition,
( definitionFOFtoCNF_8
<=> ( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ) ).
fof(definition_33,definition,
( definitionFOFtoCNF_9
<=> ( ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ) ).
fof(subgoal_0,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) ) )
=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_5,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_6,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_7,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_8,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_9,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_10,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_11,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_12,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_13,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_14,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_15,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_16,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) ) )
=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( op2(e20,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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_0_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_0_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_0_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_0_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_0_4,normalize_0_5]) ).
fof(normalize_0_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_0_3,normalize_0_6,normalize_0_5]) ).
fof(normalize_0_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_0_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_0_7,normalize_0_8]) ).
fof(normalize_0_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_2,normalize_0_9,normalize_0_6,normalize_0_5,normalize_0_8]) ).
fof(normalize_0_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_0_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_0_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_0_11,normalize_0_12]) ).
fof(normalize_0_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_10,normalize_0_13,normalize_0_12]) ).
fof(normalize_0_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_0_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_14,normalize_0_15]) ).
fof(normalize_0_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_0_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_0_35]) ).
fof(normalize_0_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_50,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != 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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_0_53]) ).
fof(normalize_0_55,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_50,normalize_0_51,normalize_0_52,normalize_0_54]) ).
fof(normalize_0_56,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_58,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_60,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_62,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_63,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_0_64,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_0_64]) ).
fof(normalize_0_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_0_68,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_69,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_70,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_0_72,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_0_71]) ).
fof(normalize_0_73,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_74,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_76,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_77,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_0_78,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_0_79,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_0_77,normalize_0_78]) ).
fof(normalize_0_80,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_0_76,normalize_0_79,normalize_0_78]) ).
fof(normalize_0_81,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_0_82,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_0_80,normalize_0_81]) ).
fof(normalize_0_83,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_75,normalize_0_82,normalize_0_79,normalize_0_78,normalize_0_81]) ).
fof(normalize_0_84,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_0_85,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_0_86,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_0_84,normalize_0_85]) ).
fof(normalize_0_87,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_83,normalize_0_86,normalize_0_85]) ).
fof(normalize_0_88,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_87,normalize_0_63]) ).
fof(normalize_0_89,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_88]) ).
fof(normalize_0_90,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_0_89]) ).
fof(normalize_0_91,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_82]) ).
fof(normalize_0_92,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_91]) ).
fof(normalize_0_93,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_81]) ).
fof(normalize_0_94,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_93]) ).
fof(normalize_0_95,plain,
e12 != e13,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_96,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_0_71]) ).
fof(normalize_0_97,plain,
e11 != e13,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_98,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_79]) ).
fof(normalize_0_99,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_98]) ).
fof(normalize_0_100,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_78]) ).
fof(normalize_0_101,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_0_100]) ).
fof(normalize_0_102,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_0_100]) ).
fof(normalize_0_103,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_98]) ).
fof(normalize_0_104,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_86]) ).
fof(normalize_0_105,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_104]) ).
fof(normalize_0_106,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_85]) ).
fof(normalize_0_107,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_0_106]) ).
fof(normalize_0_108,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_109,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_0_71]) ).
fof(normalize_0_110,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_111,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_112,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_113,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_114,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_115,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_116,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_117,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_118,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_0_119,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_0_120,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_121,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_0_119,normalize_0_120]) ).
fof(normalize_0_122,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_118,normalize_0_121,normalize_0_120]) ).
fof(normalize_0_123,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_0_124,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_122,normalize_0_123]) ).
fof(normalize_0_125,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_0_124]) ).
fof(normalize_0_126,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_0_125]) ).
fof(normalize_0_127,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_123]) ).
fof(normalize_0_128,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_0_127]) ).
fof(normalize_0_129,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_0_127]) ).
fof(normalize_0_130,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_131,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_132,plain,
e11 != e12,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_133,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_121]) ).
fof(normalize_0_134,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_0_133]) ).
fof(normalize_0_135,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_136,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_137,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_138,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_120]) ).
fof(normalize_0_139,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_0_138]) ).
fof(normalize_0_140,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_141,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_142,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_143,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_144,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_0_138]) ).
fof(normalize_0_145,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_0_138]) ).
fof(normalize_0_146,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_147,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_148,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_149,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_150,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_151,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_152,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_0_151]) ).
fof(normalize_0_153,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_154,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_155,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_156,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_0_157,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_0_158,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_0_159,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_0_157,normalize_0_158]) ).
fof(normalize_0_160,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_156,normalize_0_159,normalize_0_158]) ).
fof(normalize_0_161,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_0_162,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_160,normalize_0_161]) ).
fof(normalize_0_163,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_0_162]) ).
fof(normalize_0_164,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_0_163]) ).
fof(normalize_0_165,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_161]) ).
fof(normalize_0_166,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_0_165]) ).
fof(normalize_0_167,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_0_165]) ).
fof(normalize_0_168,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_169,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_170,plain,
e21 != e22,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_171,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_172,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_0_151]) ).
fof(normalize_0_173,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_174,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_159]) ).
fof(normalize_0_175,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_0_174]) ).
fof(normalize_0_176,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_177,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_178,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_179,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_158]) ).
fof(normalize_0_180,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_0_179]) ).
fof(normalize_0_181,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_0_151]) ).
fof(normalize_0_182,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_183,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_184,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_185,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_0_179]) ).
fof(normalize_0_186,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_151]) ).
fof(normalize_0_187,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_188,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_189,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_190,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_191,plain,
e20 != e23,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_192,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_193,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_0_179]) ).
fof(normalize_0_194,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_0_179]) ).
fof(normalize_0_195,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_196,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_197,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_198,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_199,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_200,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_0_199]) ).
fof(normalize_0_201,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_0_200,normalize_0_16,normalize_0_13,normalize_0_9,normalize_0_6,normalize_0_5,normalize_0_8,normalize_0_15,normalize_0_12]) ).
fof(normalize_0_202,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_0_201,normalize_0_162,normalize_0_159,normalize_0_161,normalize_0_158]) ).
fof(normalize_0_203,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_0_204,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_0_205,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_0_203,normalize_0_204]) ).
fof(normalize_0_206,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_0_202,normalize_0_205,normalize_0_204]) ).
fof(normalize_0_207,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_0_208,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_0_206,normalize_0_207]) ).
fof(normalize_0_209,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_0_208]) ).
fof(normalize_0_210,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_0_209]) ).
fof(normalize_0_211,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_0_205]) ).
fof(normalize_0_212,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_0_211]) ).
fof(normalize_0_213,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_0_204]) ).
fof(normalize_0_214,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_0_213]) ).
fof(normalize_0_215,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_0_213]) ).
fof(normalize_0_216,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_0_207]) ).
fof(normalize_0_217,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_0_216]) ).
fof(normalize_0_218,plain,
e20 != e22,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_219,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_220,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_221,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_0_199]) ).
fof(normalize_0_222,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_223,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_224,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_225,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_226,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_0_209]) ).
fof(normalize_0_227,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_0_199]) ).
fof(normalize_0_228,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_229,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_230,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_0_163]) ).
fof(normalize_0_231,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_232,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_233,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_234,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_235,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_0_234]) ).
fof(normalize_0_236,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_0_235,normalize_0_88,normalize_0_86,normalize_0_82,normalize_0_79,normalize_0_78,normalize_0_81,normalize_0_63,normalize_0_85]) ).
fof(normalize_0_237,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_0_236,normalize_0_124,normalize_0_121,normalize_0_123,normalize_0_120]) ).
fof(normalize_0_238,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_0_239,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_0_240,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_0_238,normalize_0_239]) ).
fof(normalize_0_241,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_0_237,normalize_0_240,normalize_0_239]) ).
fof(normalize_0_242,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_0_243,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_0_241,normalize_0_242]) ).
fof(normalize_0_244,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_0_243]) ).
fof(normalize_0_245,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_0_244]) ).
fof(normalize_0_246,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_0_240]) ).
fof(normalize_0_247,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_246]) ).
fof(normalize_0_248,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_0_239]) ).
fof(normalize_0_249,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_0_248]) ).
fof(normalize_0_250,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_0_248]) ).
fof(normalize_0_251,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_0_242]) ).
fof(normalize_0_252,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_0_251]) ).
fof(normalize_0_253,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_0_234]) ).
fof(normalize_0_254,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_255,plain,
op1(e11,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_256,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_0_244]) ).
fof(normalize_0_257,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_258,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_259,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_260,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_261,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_0_234]) ).
fof(normalize_0_262,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_263,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_264,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_0_125]) ).
fof(normalize_0_265,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_0_67]) ).
fof(normalize_0_266,plain,
op1(e11,e10) != op1(e11,e11),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_267,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_0_69]) ).
fof(normalize_0_268,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(conjunct,[],[normalize_0_112]) ).
fof(normalize_0_269,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_0_125]) ).
fof(normalize_0_270,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_0_89]) ).
cnf(refute_0_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_0_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_0_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_0_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_0_22,refute_0_11]) ).
cnf(refute_0_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_0_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_27]) ).
cnf(refute_0_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_0_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_33]) ).
cnf(refute_0_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_0_28,refute_0_36]) ).
cnf(refute_0_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_0_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_39]) ).
cnf(refute_0_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_0_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_24,refute_0_42]) ).
cnf(refute_0_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_0_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_0_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_0_23,refute_0_47]) ).
cnf(refute_0_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_0_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_0_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_0_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_0_60,refute_0_51]) ).
cnf(refute_0_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_0_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_0_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_0_71,refute_0_62]) ).
cnf(refute_0_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_74]) ).
cnf(refute_0_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_0_78,refute_0_72]) ).
cnf(refute_0_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_80]) ).
cnf(refute_0_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_81,refute_0_79]) ).
cnf(refute_0_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_76,refute_0_83]) ).
cnf(refute_0_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_84,refute_0_82]) ).
cnf(refute_0_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_0_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_86,refute_0_85]) ).
cnf(refute_0_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_0_87,refute_0_61]) ).
cnf(refute_0_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_0_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_0_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_92]) ).
cnf(refute_0_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_0_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_96]) ).
cnf(refute_0_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_0_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_0_93,refute_0_99]) ).
cnf(refute_0_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_0_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_0_89,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_105]) ).
cnf(refute_0_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_0_87,refute_0_107]) ).
cnf(refute_0_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_110]) ).
cnf(refute_0_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_108,refute_0_112]) ).
cnf(refute_0_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_113]) ).
cnf(refute_0_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_0_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_118]) ).
cnf(refute_0_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_0_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_0_115,refute_0_121]) ).
cnf(refute_0_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_0_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_0_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_0_114,refute_0_126]) ).
cnf(refute_0_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_108,refute_0_128]) ).
cnf(refute_0_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_0_122,refute_0_129]) ).
cnf(refute_0_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_131]) ).
cnf(refute_0_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_0_130,refute_0_132]) ).
cnf(refute_0_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_0_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_0_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_108,refute_0_137]) ).
cnf(refute_0_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_0_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_0_127,refute_0_140]) ).
cnf(refute_0_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_0_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_0_111,refute_0_143]) ).
cnf(refute_0_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_0_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_0_148,refute_0_88]) ).
cnf(refute_0_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_149]) ).
cnf(refute_0_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_0_151,refute_0_50]) ).
cnf(refute_0_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_0_152,refute_0_1]) ).
cnf(refute_0_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_0_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_160]) ).
cnf(refute_0_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_0_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_0_157,refute_0_163]) ).
cnf(refute_0_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_0_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_0_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_0_168,refute_0_156]) ).
cnf(refute_0_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_155,refute_0_169]) ).
cnf(refute_0_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_0_170,refute_0_154]) ).
cnf(refute_0_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_173,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_0_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_173]) ).
cnf(refute_0_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_0_174,refute_0_172]) ).
cnf(refute_0_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_0_171,refute_0_175]) ).
cnf(refute_0_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_0_176,refute_0_153]) ).
cnf(refute_0_178,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_179,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_180,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_181,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_180,refute_0_10]) ).
cnf(refute_0_182,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_183,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_184,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_183]) ).
cnf(refute_0_185,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_0_184,refute_0_182]) ).
cnf(refute_0_186,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_0_187,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_0_186,refute_0_185]) ).
cnf(refute_0_188,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_181,refute_0_187]) ).
cnf(refute_0_189,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_0_188,refute_0_47]) ).
cnf(refute_0_190,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_191,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_0_192,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_191]) ).
cnf(refute_0_193,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_192]) ).
cnf(refute_0_194,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_195,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_196,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_199,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_0_190,refute_0_199]) ).
cnf(refute_0_201,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_0_202,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_0_204,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_189,refute_0_204]) ).
cnf(refute_0_206,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_205,refute_0_49]) ).
cnf(refute_0_207,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_0_208,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_0_208,refute_0_179]) ).
cnf(refute_0_210,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_211,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_211,refute_0_178]) ).
cnf(refute_0_213,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(e23,e23)
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_214,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_209,refute_0_213]) ).
cnf(refute_0_215,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_0_214,refute_0_212]) ).
cnf(refute_0_216,plain,
( h4(op1(e10,e10)) != e21
| op2(e23,e23) != e21
| h4(op1(e10,e10)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_217,plain,
( h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_193,refute_0_216]) ).
cnf(refute_0_218,plain,
( h4(op1(e10,e10)) != e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,e23)) )],[refute_0_217,refute_0_215]) ).
cnf(refute_0_219,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_220,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_221,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_222,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_223,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_224,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_0_225,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_227,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_227,refute_0_222]) ).
cnf(refute_0_229,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_221,refute_0_228]) ).
cnf(refute_0_230,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e10,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_231,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_0_231,refute_0_220]) ).
cnf(refute_0_233,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_234,plain,
( op1(e10,e11) != e10
| e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
( e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_219,refute_0_234]) ).
cnf(refute_0_236,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_237,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_238,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_237,refute_0_236]) ).
cnf(refute_0_239,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( h4(e13) != e21
| op1(e10,e10) != e13
| h4(op1(e10,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e21) ),[0,0],$fot(e13)]]) ).
cnf(refute_0_241,plain,
( h4(e13) != e21
| h4(op1(e10,e10)) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( h4(e13) != e21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_241,refute_0_218]) ).
cnf(refute_0_243,plain,
( e21 != e21
| h4(e13) != e21
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_0_244,plain,
( e21 != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_243]) ).
cnf(refute_0_245,plain,
( e21 != e21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_244,refute_0_242]) ).
cnf(refute_0_246,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_245]) ).
cnf(refute_0_247,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_0_90]) ).
cnf(refute_0_248,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_92]) ).
cnf(refute_0_249,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_94]) ).
cnf(refute_0_250,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_0_251,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_250]) ).
cnf(refute_0_252,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_249,refute_0_251]) ).
cnf(refute_0_253,plain,
e12 != e13,
inference(canonicalize,[],[normalize_0_95]) ).
cnf(refute_0_254,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_0_255,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_254,refute_0_253]) ).
cnf(refute_0_256,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_256,refute_0_248]) ).
cnf(refute_0_258,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_0_96]) ).
cnf(refute_0_259,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_0_260,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_261,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_261]) ).
cnf(refute_0_263,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_0_264,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_265,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_265]) ).
cnf(refute_0_267,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_268,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_0_262,refute_0_268]) ).
cnf(refute_0_270,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_0_271,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_258,refute_0_271]) ).
cnf(refute_0_273,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_274,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_276,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_257,refute_0_276]) ).
cnf(refute_0_278,plain,
e11 != e13,
inference(canonicalize,[],[normalize_0_97]) ).
cnf(refute_0_279,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_99]) ).
cnf(refute_0_281,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_0_101]) ).
cnf(refute_0_282,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_0_102]) ).
cnf(refute_0_283,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_284,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_0_284,refute_0_281]) ).
cnf(refute_0_286,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_285,refute_0_280]) ).
cnf(refute_0_287,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_103]) ).
cnf(refute_0_288,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_285,refute_0_287]) ).
cnf(refute_0_289,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_0_290,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_0_290,refute_0_286]) ).
cnf(refute_0_292,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_291,refute_0_279]) ).
cnf(refute_0_293,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_292,refute_0_247]) ).
cnf(refute_0_294,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_105]) ).
cnf(refute_0_295,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_0_107]) ).
cnf(refute_0_296,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_108]) ).
cnf(refute_0_297,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_0_109]) ).
cnf(refute_0_298,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_0_299,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_300,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_300]) ).
cnf(refute_0_302,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_0_303,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_0_297,refute_0_303]) ).
cnf(refute_0_305,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_0_306,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_308,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_308,refute_0_296]) ).
cnf(refute_0_310,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_295,refute_0_309]) ).
cnf(refute_0_311,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_0_310,refute_0_294]) ).
cnf(refute_0_312,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_110]) ).
cnf(refute_0_313,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_0_314,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_313]) ).
cnf(refute_0_315,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_0_314,refute_0_312]) ).
cnf(refute_0_316,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_311,refute_0_315]) ).
cnf(refute_0_317,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_316,refute_0_293]) ).
cnf(refute_0_318,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_0_111]) ).
cnf(refute_0_319,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_0_113]) ).
cnf(refute_0_320,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_319,refute_0_228]) ).
cnf(refute_0_321,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_320,refute_0_309]) ).
cnf(refute_0_322,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_0_323,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_323,refute_0_318]) ).
cnf(refute_0_325,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_0_114]) ).
cnf(refute_0_326,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_115]) ).
cnf(refute_0_327,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_328,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_327]) ).
cnf(refute_0_329,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_0_328,refute_0_326]) ).
cnf(refute_0_330,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_325,refute_0_329]) ).
cnf(refute_0_331,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_116]) ).
cnf(refute_0_332,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_333,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_332]) ).
cnf(refute_0_334,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_0_333,refute_0_331]) ).
cnf(refute_0_335,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_330,refute_0_334]) ).
cnf(refute_0_336,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_337,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_0_337,refute_0_324]) ).
cnf(refute_0_339,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_0_340,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_342,plain,
( op1(e10,e12) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_0_342,refute_0_317]) ).
cnf(refute_0_344,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_0_246,refute_0_343]) ).
cnf(refute_0_345,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_0_117]) ).
cnf(refute_0_346,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_0_126]) ).
cnf(refute_0_347,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_0_128]) ).
cnf(refute_0_348,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_0_129]) ).
cnf(refute_0_349,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_0_130]) ).
cnf(refute_0_350,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_0_351,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_350]) ).
cnf(refute_0_352,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_349,refute_0_351]) ).
cnf(refute_0_353,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_354,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_353,refute_0_278]) ).
cnf(refute_0_355,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_0_352,refute_0_354]) ).
cnf(refute_0_356,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_131]) ).
cnf(refute_0_357,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_358,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_357]) ).
cnf(refute_0_359,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_0_358,refute_0_356]) ).
cnf(refute_0_360,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_355,refute_0_359]) ).
cnf(refute_0_361,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_0_362,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_0_362,refute_0_348]) ).
cnf(refute_0_364,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_365,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_0_347,refute_0_365]) ).
cnf(refute_0_367,plain,
e11 != e12,
inference(canonicalize,[],[normalize_0_132]) ).
cnf(refute_0_368,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_0_368,refute_0_346]) ).
cnf(refute_0_370,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_0_342,refute_0_369]) ).
cnf(refute_0_371,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_0_134]) ).
cnf(refute_0_372,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_135]) ).
cnf(refute_0_373,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_374,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_373]) ).
cnf(refute_0_375,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_0_374,refute_0_372]) ).
cnf(refute_0_376,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_371,refute_0_375]) ).
cnf(refute_0_377,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_136]) ).
cnf(refute_0_378,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_137]) ).
cnf(refute_0_379,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_0_139]) ).
cnf(refute_0_380,plain,
( e12 != op1(e13,e11)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_0_381,plain,
( e12 != op1(e13,e11)
| op1(e12,e11) = op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
( e12 != op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_0_381,refute_0_378]) ).
cnf(refute_0_383,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_0_140]) ).
cnf(refute_0_384,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_141]) ).
cnf(refute_0_385,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_386,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_385]) ).
cnf(refute_0_387,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_0_386,refute_0_384]) ).
cnf(refute_0_388,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_383,refute_0_387]) ).
cnf(refute_0_389,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_142]) ).
cnf(refute_0_390,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_391,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_390]) ).
cnf(refute_0_392,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_0_391,refute_0_389]) ).
cnf(refute_0_393,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_388,refute_0_392]) ).
cnf(refute_0_394,plain,
( e12 != e12
| op1(e13,e11) != e12
| e12 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_395,plain,
( e12 != e12
| e12 = op1(e13,e11)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( e12 != e12
| op1(e13,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_0_395,refute_0_382]) ).
cnf(refute_0_397,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_0_398,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_396]) ).
cnf(refute_0_399,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_400,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_400,refute_0_377]) ).
cnf(refute_0_402,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_143]) ).
cnf(refute_0_403,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_0_144]) ).
cnf(refute_0_404,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_405,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_0_405,refute_0_402]) ).
cnf(refute_0_407,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_0_145]) ).
cnf(refute_0_408,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_146]) ).
cnf(refute_0_409,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_147]) ).
cnf(refute_0_410,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_411,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_410]) ).
cnf(refute_0_412,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_0_411,refute_0_409]) ).
cnf(refute_0_413,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_0_414,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_0_413,refute_0_412]) ).
cnf(refute_0_415,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_408,refute_0_414]) ).
cnf(refute_0_416,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_415,refute_0_359]) ).
cnf(refute_0_417,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_418,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_0_418,refute_0_407]) ).
cnf(refute_0_420,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_421,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_420]) ).
cnf(refute_0_422,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_421,refute_0_419]) ).
cnf(refute_0_423,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_0_424,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_422]) ).
cnf(refute_0_425,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_0_148]) ).
cnf(refute_0_426,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_427,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_426]) ).
cnf(refute_0_428,plain,
( e11 = e12
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_425,refute_0_427]) ).
cnf(refute_0_429,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_428,refute_0_367]) ).
cnf(refute_0_430,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_431,plain,
( op1(e12,e13) != e10
| e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_424,refute_0_431]) ).
cnf(refute_0_433,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_149]) ).
cnf(refute_0_434,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_435,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_434,refute_0_433]) ).
cnf(refute_0_436,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_438,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( e12 != e12
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_0_438,refute_0_406]) ).
cnf(refute_0_440,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_439]) ).
cnf(refute_0_441,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_0_442,plain,
( op1(e10,e13) != e12
| e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_229,refute_0_441]) ).
cnf(refute_0_443,plain,
( e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_440,refute_0_442]) ).
cnf(refute_0_444,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_443,refute_0_255]) ).
cnf(refute_0_445,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_446,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_446,refute_0_401]) ).
cnf(refute_0_448,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_447]) ).
cnf(refute_0_449,plain,
( h4(e13) != e21
| h4(op1(e10,e10)) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_448,refute_0_240]) ).
cnf(refute_0_450,plain,
( h4(e13) != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_449,refute_0_218]) ).
cnf(refute_0_451,plain,
( e21 != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_244,refute_0_450]) ).
cnf(refute_0_452,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_451]) ).
cnf(refute_0_453,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_0_150]) ).
cnf(refute_0_454,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_0_152,refute_0_453]) ).
cnf(refute_0_455,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_0_176,refute_0_454]) ).
cnf(refute_0_456,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_0_152]) ).
cnf(refute_0_457,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_153]) ).
cnf(refute_0_458,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_459,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_458]) ).
cnf(refute_0_460,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_0_459,refute_0_457]) ).
cnf(refute_0_461,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_456,refute_0_460]) ).
cnf(refute_0_462,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_154]) ).
cnf(refute_0_463,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_0_464,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_463]) ).
cnf(refute_0_465,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_0_464,refute_0_462]) ).
cnf(refute_0_466,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_0_461,refute_0_465]) ).
cnf(refute_0_467,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_468,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_0_468,refute_0_455]) ).
cnf(refute_0_470,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_0_452,refute_0_469]) ).
cnf(refute_0_471,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_0_155]) ).
cnf(refute_0_472,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_0_473,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_472]) ).
cnf(refute_0_474,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_0_473,refute_0_471]) ).
cnf(refute_0_475,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_0_164]) ).
cnf(refute_0_476,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_0_166]) ).
cnf(refute_0_477,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_0_167]) ).
cnf(refute_0_478,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_0_168]) ).
cnf(refute_0_479,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_0_480,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_479]) ).
cnf(refute_0_481,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_478,refute_0_480]) ).
cnf(refute_0_482,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_483,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_482,refute_0_49]) ).
cnf(refute_0_484,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_0_481,refute_0_483]) ).
cnf(refute_0_485,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_169]) ).
cnf(refute_0_486,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_487,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_486]) ).
cnf(refute_0_488,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_0_487,refute_0_485]) ).
cnf(refute_0_489,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_0_490,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_489]) ).
cnf(refute_0_491,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_0_490,refute_0_488]) ).
cnf(refute_0_492,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_484,refute_0_491]) ).
cnf(refute_0_493,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_494,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_0_494,refute_0_477]) ).
cnf(refute_0_496,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_497,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_0_476,refute_0_497]) ).
cnf(refute_0_499,plain,
e21 != e22,
inference(canonicalize,[],[normalize_0_170]) ).
cnf(refute_0_500,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_0_500,refute_0_475]) ).
cnf(refute_0_502,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_0_171]) ).
cnf(refute_0_503,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_0_172]) ).
cnf(refute_0_504,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_173]) ).
cnf(refute_0_505,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_506,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_505]) ).
cnf(refute_0_507,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_0_506,refute_0_504]) ).
cnf(refute_0_508,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_503,refute_0_507]) ).
cnf(refute_0_509,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_508,refute_0_169]) ).
cnf(refute_0_510,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_511,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_0_511,refute_0_502]) ).
cnf(refute_0_513,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_514,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_466,refute_0_513]) ).
cnf(refute_0_515,plain,
( e21 != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_0_514,refute_0_512]) ).
cnf(refute_0_516,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_515]) ).
cnf(refute_0_517,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_516,refute_0_467]) ).
cnf(refute_0_518,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_0_517,refute_0_501]) ).
cnf(refute_0_519,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_0_175]) ).
cnf(refute_0_520,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_0_521,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_520]) ).
cnf(refute_0_522,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_519,refute_0_521]) ).
cnf(refute_0_523,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_176]) ).
cnf(refute_0_524,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_525,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_524]) ).
cnf(refute_0_526,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_0_525,refute_0_523]) ).
cnf(refute_0_527,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_528,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_527]) ).
cnf(refute_0_529,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_0_530,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_529]) ).
cnf(refute_0_531,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_0_530,refute_0_528]) ).
cnf(refute_0_532,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_0_531,refute_0_526]) ).
cnf(refute_0_533,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_0_522,refute_0_532]) ).
cnf(refute_0_534,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_177]) ).
cnf(refute_0_535,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_0_536,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_535]) ).
cnf(refute_0_537,plain,
h1(e13) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_0_536,refute_0_534]) ).
cnf(refute_0_538,plain,
( h1(e13) != e23
| op2(e20,e23) != e23
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_0_539,plain,
( h1(e13) != e23
| h1(e13) = op2(e20,e23)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_206,refute_0_538]) ).
cnf(refute_0_540,plain,
( h1(e13) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_0_539,refute_0_537]) ).
cnf(refute_0_541,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_178]) ).
cnf(refute_0_542,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_543,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_542]) ).
cnf(refute_0_544,plain,
h4(e10) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_0_543,refute_0_541]) ).
cnf(refute_0_545,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_0_180]) ).
cnf(refute_0_546,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_0_181]) ).
cnf(refute_0_547,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_546,refute_0_187]) ).
cnf(refute_0_548,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_547,refute_0_491]) ).
cnf(refute_0_549,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_550,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_0_550,refute_0_545]) ).
cnf(refute_0_552,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_553,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_552]) ).
cnf(refute_0_554,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_553,refute_0_551]) ).
cnf(refute_0_555,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_0_556,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_554]) ).
cnf(refute_0_557,plain,
( h4(e10) != e20
| op2(e22,e23) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_0_558,plain,
( h4(e10) != e20
| h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( h4(e10) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_0_558,refute_0_544]) ).
cnf(refute_0_560,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_0_182]) ).
cnf(refute_0_561,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_562,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_561]) ).
cnf(refute_0_563,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_0_565,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_564]) ).
cnf(refute_0_566,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_563,refute_0_565]) ).
cnf(refute_0_567,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_0_566,refute_0_465]) ).
cnf(refute_0_568,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_183]) ).
cnf(refute_0_569,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_184]) ).
cnf(refute_0_570,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_0_185]) ).
cnf(refute_0_571,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_0_572,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_0_572,refute_0_569]) ).
cnf(refute_0_574,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_186]) ).
cnf(refute_0_575,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_187]) ).
cnf(refute_0_576,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_0_577,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_576]) ).
cnf(refute_0_578,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_0_577,refute_0_575]) ).
cnf(refute_0_579,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_574,refute_0_578]) ).
cnf(refute_0_580,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_188]) ).
cnf(refute_0_581,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_582,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_581]) ).
cnf(refute_0_583,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_0_582,refute_0_580]) ).
cnf(refute_0_584,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_0_585,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_584]) ).
cnf(refute_0_586,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_0_585,refute_0_583]) ).
cnf(refute_0_587,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_579,refute_0_586]) ).
cnf(refute_0_588,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_0_589,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_0_589,refute_0_573]) ).
cnf(refute_0_591,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_0_592,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_590]) ).
cnf(refute_0_593,plain,
( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_0_594,plain,
( op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( op2(e23,e20) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_0_594,refute_0_568]) ).
cnf(refute_0_596,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_0_189]) ).
cnf(refute_0_597,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_598,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_597]) ).
cnf(refute_0_599,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_596,refute_0_598]) ).
cnf(refute_0_600,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_190]) ).
cnf(refute_0_601,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_602,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_601]) ).
cnf(refute_0_603,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_0_602,refute_0_600]) ).
cnf(refute_0_604,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_0_599,refute_0_603]) ).
cnf(refute_0_605,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_606,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_606,refute_0_595]) ).
cnf(refute_0_608,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_607]) ).
cnf(refute_0_609,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_610,plain,
( op2(e21,e20) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
( e23 = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_0_567,refute_0_610]) ).
cnf(refute_0_612,plain,
e20 != e23,
inference(canonicalize,[],[normalize_0_191]) ).
cnf(refute_0_613,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_614,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_613,refute_0_612]) ).
cnf(refute_0_615,plain,
( h1(e13) = e23
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_617,plain,
( e20 != e20
| h1(e13) = e23
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
( e20 != e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_617,refute_0_559]) ).
cnf(refute_0_619,plain,
( h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_86,refute_0_618]) ).
cnf(refute_0_620,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_621,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h1(e13) = e23
| h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( h1(e13) = e23
| h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_621]) ).
cnf(refute_0_623,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_624,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h1(e13) = e23
| h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_619,refute_0_623]) ).
cnf(refute_0_625,plain,
( h1(e13) = e23
| h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_624]) ).
cnf(refute_0_626,plain,
( h2(e11) != op2(e20,h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_627,plain,
( h2(e11) != op2(e20,h2(e13))
| h1(e13) = e23
| h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_619,refute_0_626]) ).
cnf(refute_0_628,plain,
( h1(e13) = e23
| h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) )],[refute_0_625,refute_0_627]) ).
cnf(refute_0_629,plain,
( h2(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h2(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_0_630,plain,
( h2(e11) != op2(e20,e20)
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_629]) ).
cnf(refute_0_631,plain,
( h1(e13) = e23
| h2(e11) = h1(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e20)) )],[refute_0_628,refute_0_630]) ).
cnf(refute_0_632,plain,
( h2(e11) != h1(e13)
| h2(e11) != op2(h2(e13),e20)
| h1(e13) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_633,plain,
( h2(e11) != op2(h2(e13),e20)
| h1(e13) = e23
| h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( h1(e13) = e23
| h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) )],[refute_0_622,refute_0_633]) ).
cnf(refute_0_635,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_0_192]) ).
cnf(refute_0_636,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_0_193]) ).
cnf(refute_0_637,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_0_638,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_0_638,refute_0_502]) ).
cnf(refute_0_640,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_641,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_509,refute_0_640]) ).
cnf(refute_0_642,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_641,refute_0_639]) ).
cnf(refute_0_643,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_642]) ).
cnf(refute_0_644,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_645,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_0_645,refute_0_635]) ).
cnf(refute_0_647,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_0_194]) ).
cnf(refute_0_648,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_0_195]) ).
cnf(refute_0_649,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_648,refute_0_106]) ).
cnf(refute_0_650,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_649,refute_0_586]) ).
cnf(refute_0_651,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_650,refute_0_493]) ).
cnf(refute_0_652,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_0_651,refute_0_647]) ).
cnf(refute_0_653,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_654,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_654,refute_0_646]) ).
cnf(refute_0_656,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_655]) ).
cnf(refute_0_657,plain,
( h1(e13) != op2(h2(e13),e20)
| h2(e13) != e21
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_658,plain,
( h1(e13) != op2(h2(e13),e20)
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( h1(e13) = e23
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) )],[refute_0_634,refute_0_658]) ).
cnf(refute_0_660,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_0_196]) ).
cnf(refute_0_661,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_0_662,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_661]) ).
cnf(refute_0_663,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_0_662,refute_0_660]) ).
cnf(refute_0_664,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_0_659,refute_0_663]) ).
cnf(refute_0_665,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_666,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_666,refute_0_540]) ).
cnf(refute_0_668,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_667]) ).
cnf(refute_0_669,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_668,refute_0_210]) ).
cnf(refute_0_670,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_669,refute_0_178]) ).
cnf(refute_0_671,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_668,refute_0_213]) ).
cnf(refute_0_672,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_0_671,refute_0_670]) ).
cnf(refute_0_673,plain,
( h4(op1(e10,e10)) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,e23)) )],[refute_0_217,refute_0_672]) ).
cnf(refute_0_674,plain,
( h4(e13) != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_449,refute_0_673]) ).
cnf(refute_0_675,plain,
( e21 != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_244,refute_0_674]) ).
cnf(refute_0_676,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_675]) ).
cnf(refute_0_677,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_0_676,refute_0_533]) ).
cnf(refute_0_678,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_677,refute_0_518]) ).
cnf(refute_0_679,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_0_197]) ).
cnf(refute_0_680,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_0_681,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_682,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_682]) ).
cnf(refute_0_684,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_685,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_686,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_686]) ).
cnf(refute_0_688,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_0_689,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_0_683,refute_0_689]) ).
cnf(refute_0_691,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_692,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_679,refute_0_692]) ).
cnf(refute_0_694,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_0_198]) ).
cnf(refute_0_695,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_0_696,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_202,refute_0_695]) ).
cnf(refute_0_697,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_0_696,refute_0_694]) ).
cnf(refute_0_698,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_0_210]) ).
cnf(refute_0_699,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_0_212]) ).
cnf(refute_0_700,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_699,refute_0_187]) ).
cnf(refute_0_701,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_0_214]) ).
cnf(refute_0_702,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_0_703,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_0_704,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_704]) ).
cnf(refute_0_706,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_0_707,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_0_707,refute_0_701]) ).
cnf(refute_0_709,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_0_710,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_711,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_711]) ).
cnf(refute_0_713,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_0_714,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_0_714,refute_0_708]) ).
cnf(refute_0_716,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_0_215]) ).
cnf(refute_0_717,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_718,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_718,refute_0_715]) ).
cnf(refute_0_720,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_719]) ).
cnf(refute_0_721,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_0_720,refute_0_700]) ).
cnf(refute_0_722,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_0_698,refute_0_721]) ).
cnf(refute_0_723,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_0_217]) ).
cnf(refute_0_724,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_725,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_724]) ).
cnf(refute_0_726,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_0_723,refute_0_725]) ).
cnf(refute_0_727,plain,
e20 != e22,
inference(canonicalize,[],[normalize_0_218]) ).
cnf(refute_0_728,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_0_722,refute_0_728]) ).
cnf(refute_0_730,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_0_731,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_0_731,refute_0_697]) ).
cnf(refute_0_733,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_219]) ).
cnf(refute_0_734,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_0_735,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_734]) ).
cnf(refute_0_736,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_0_735,refute_0_733]) ).
cnf(refute_0_737,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_220]) ).
cnf(refute_0_738,plain,
( op2(e20,e21) != e22
| op2(e23,e21) != e22
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_0_739,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_587,refute_0_738]) ).
cnf(refute_0_740,plain,
( op2(e20,e21) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_0_739,refute_0_737]) ).
cnf(refute_0_741,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_0_221]) ).
cnf(refute_0_742,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_743,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_65,refute_0_742]) ).
cnf(refute_0_744,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_741,refute_0_743]) ).
cnf(refute_0_745,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_746,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_745]) ).
cnf(refute_0_747,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_744,refute_0_746]) ).
cnf(refute_0_748,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_747,refute_0_17]) ).
cnf(refute_0_749,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_0_750,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_749]) ).
cnf(refute_0_751,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_0_748,refute_0_750]) ).
cnf(refute_0_752,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_751,refute_0_21]) ).
cnf(refute_0_753,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_754,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_753]) ).
cnf(refute_0_755,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_0_752,refute_0_754]) ).
cnf(refute_0_756,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_755,refute_0_499]) ).
cnf(refute_0_757,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_466,refute_0_637]) ).
cnf(refute_0_758,plain,
( op2(e20,e22) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_0_757,refute_0_502]) ).
cnf(refute_0_759,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_0_222]) ).
cnf(refute_0_760,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_759,refute_0_743]) ).
cnf(refute_0_761,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_0_762,plain,
( op2(e20,e23) != e22
| e23 = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_206,refute_0_761]) ).
cnf(refute_0_763,plain,
( e23 = e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_760,refute_0_762]) ).
cnf(refute_0_764,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_763,refute_0_21]) ).
cnf(refute_0_765,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_764,refute_0_640]) ).
cnf(refute_0_766,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_765,refute_0_758]) ).
cnf(refute_0_767,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_766]) ).
cnf(refute_0_768,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_769,plain,
( e21 != e21
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_769,refute_0_756]) ).
cnf(refute_0_771,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_770]) ).
cnf(refute_0_772,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_0_773,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_773,refute_0_740]) ).
cnf(refute_0_775,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_774]) ).
cnf(refute_0_776,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_0_777,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h2(e13) = op2(e23,e21)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_0_777,refute_0_736]) ).
cnf(refute_0_779,plain,
( h2(e13) != e22
| h2(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_0_780,plain,
( h2(e13) != e23
| e23 = e22
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
( h2(e13) != e23
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_780,refute_0_21]) ).
cnf(refute_0_782,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_223]) ).
cnf(refute_0_783,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_0_784,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_729,refute_0_783]) ).
cnf(refute_0_785,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_0_784,refute_0_782]) ).
cnf(refute_0_786,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_224]) ).
cnf(refute_0_787,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_788,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_787]) ).
cnf(refute_0_789,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_786,refute_0_788]) ).
cnf(refute_0_790,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_225]) ).
cnf(refute_0_791,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_792,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_791]) ).
cnf(refute_0_793,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_0_792,refute_0_790]) ).
cnf(refute_0_794,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_0_789,refute_0_793]) ).
cnf(refute_0_795,plain,
( op2(e23,e20) != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_794,refute_0_593]) ).
cnf(refute_0_796,plain,
( op2(e23,e20) != e23
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_0_795,refute_0_568]) ).
cnf(refute_0_797,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_0_226]) ).
cnf(refute_0_798,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_0_797,refute_0_721]) ).
cnf(refute_0_799,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_0_798,refute_0_728]) ).
cnf(refute_0_800,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_799,refute_0_605]) ).
cnf(refute_0_801,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_800,refute_0_796]) ).
cnf(refute_0_802,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_801,refute_0_785]) ).
cnf(refute_0_803,plain,
( e23 != e23
| h1(e13) = e22
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_802,refute_0_781]) ).
cnf(refute_0_804,plain,
( h1(e13) = e22
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_803]) ).
cnf(refute_0_805,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_0_806,plain,
( e23 != e23
| e23 = h4(e10)
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( e23 != e23
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_0_806,refute_0_732]) ).
cnf(refute_0_808,plain,
( h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_807]) ).
cnf(refute_0_809,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e11) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_810,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
( h1(e11) = op2(h1(e13),e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_0_693,refute_0_810]) ).
cnf(refute_0_812,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e11) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_813,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e22,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_808,refute_0_812]) ).
cnf(refute_0_814,plain,
( h1(e11) = op2(e22,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_0_693,refute_0_813]) ).
cnf(refute_0_815,plain,
( h1(e11) != op2(e22,h1(e13))
| h1(e13) != e22
| h1(e11) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_816,plain,
( h1(e11) != op2(e22,h1(e13))
| h1(e11) = op2(e22,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_808,refute_0_815]) ).
cnf(refute_0_817,plain,
( h1(e11) = op2(e22,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,h1(e13))) )],[refute_0_814,refute_0_816]) ).
cnf(refute_0_818,plain,
( h1(e11) != op2(e22,e22)
| op2(e22,e22) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_819,plain,
( h1(e11) != op2(e22,e22)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_818]) ).
cnf(refute_0_820,plain,
( h1(e11) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e22)) )],[refute_0_817,refute_0_819]) ).
cnf(refute_0_821,plain,
( h1(e11) != e23
| h1(e11) != op2(h1(e13),e22)
| e23 = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),e22)) ),[0],$fot(e23)]]) ).
cnf(refute_0_822,plain,
( h1(e11) != op2(h1(e13),e22)
| e23 = op2(h1(e13),e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
( e23 = op2(h1(e13),e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e22)) )],[refute_0_811,refute_0_822]) ).
cnf(refute_0_824,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_802]) ).
cnf(refute_0_825,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_826,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
( h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_826]) ).
cnf(refute_0_828,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_829,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_824,refute_0_828]) ).
cnf(refute_0_830,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_0_103,refute_0_829]) ).
cnf(refute_0_831,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_832,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_824,refute_0_831]) ).
cnf(refute_0_833,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_0_830,refute_0_832]) ).
cnf(refute_0_834,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_835,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_193,refute_0_834]) ).
cnf(refute_0_836,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_0_833,refute_0_835]) ).
cnf(refute_0_837,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_0_838,plain,
( h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
( e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) )],[refute_0_827,refute_0_838]) ).
cnf(refute_0_840,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_0_227]) ).
cnf(refute_0_841,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_840,refute_0_75]) ).
cnf(refute_0_842,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_841,refute_0_562]) ).
cnf(refute_0_843,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_844,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_15,refute_0_843]) ).
cnf(refute_0_845,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_842,refute_0_844]) ).
cnf(refute_0_846,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_0_847,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_846]) ).
cnf(refute_0_848,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_845,refute_0_847]) ).
cnf(refute_0_849,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_848,refute_0_614]) ).
cnf(refute_0_850,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_0_851,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_850]) ).
cnf(refute_0_852,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_849,refute_0_851]) ).
cnf(refute_0_853,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_228]) ).
cnf(refute_0_854,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_855,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_854]) ).
cnf(refute_0_856,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_0_855,refute_0_853]) ).
cnf(refute_0_857,plain,
( e20 != h4(e13)
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_858,plain,
( e20 != h4(e13)
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_166,refute_0_857]) ).
cnf(refute_0_859,plain,
( e20 != e21
| h4(e13) != e21
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_0_860,plain,
( e20 != e21
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_859]) ).
cnf(refute_0_861,plain,
( e20 != e21
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_0_860,refute_0_858]) ).
cnf(refute_0_862,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_0_861,refute_0_856]) ).
cnf(refute_0_863,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_864,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_863,refute_0_862]) ).
cnf(refute_0_865,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_852,refute_0_864]) ).
cnf(refute_0_866,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_800,refute_0_865]) ).
cnf(refute_0_867,plain,
( h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_555,refute_0_866]) ).
cnf(refute_0_868,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_869,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
( e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_0_839,refute_0_869]) ).
cnf(refute_0_871,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_229]) ).
cnf(refute_0_872,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_873,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_8,refute_0_872]) ).
cnf(refute_0_874,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_0_873,refute_0_871]) ).
cnf(refute_0_875,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_0_876,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_45,refute_0_875]) ).
cnf(refute_0_877,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_0_876,refute_0_874]) ).
cnf(refute_0_878,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_879,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_0_878,refute_0_877]) ).
cnf(refute_0_880,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_0_870,refute_0_879]) ).
cnf(refute_0_881,plain,
( e23 != op2(h1(e13),e22)
| h1(e13) != e20
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(h1(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_882,plain,
( e23 != op2(h1(e13),e22)
| e23 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
( e23 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(h1(e13),e22)) )],[refute_0_823,refute_0_882]) ).
cnf(refute_0_884,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_0_885,plain,
e23 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_884,refute_0_507]) ).
cnf(refute_0_886,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_0_883,refute_0_885]) ).
cnf(refute_0_887,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_678]) ).
cnf(refute_0_888,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_0_889,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
( h1(e13) != e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_0_889,refute_0_474]) ).
cnf(refute_0_891,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_0_230]) ).
cnf(refute_0_892,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_0_500,refute_0_891]) ).
cnf(refute_0_893,plain,
( ~ definitionFOFtoCNF_23
| op2(e21,e22) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_677,refute_0_892]) ).
cnf(refute_0_894,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_893]) ).
cnf(refute_0_895,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_896,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_0_896,refute_0_501]) ).
cnf(refute_0_898,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_0_899,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_54,refute_0_898]) ).
cnf(refute_0_900,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_899,refute_0_897]) ).
cnf(refute_0_901,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_900]) ).
cnf(refute_0_902,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_466,refute_0_768]) ).
cnf(refute_0_903,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_902,refute_0_756]) ).
cnf(refute_0_904,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_903]) ).
cnf(refute_0_905,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_904,refute_0_467]) ).
cnf(refute_0_906,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_0_905,refute_0_501]) ).
cnf(refute_0_907,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_906]) ).
cnf(refute_0_908,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_677,refute_0_907]) ).
cnf(refute_0_909,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_0_910,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
( e22 != e22
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_910,refute_0_901]) ).
cnf(refute_0_912,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_911]) ).
cnf(refute_0_913,plain,
( h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_677,refute_0_912]) ).
cnf(refute_0_914,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_0_915,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
( e22 != e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_915,refute_0_890]) ).
cnf(refute_0_917,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_916]) ).
cnf(refute_0_918,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_0_917,refute_0_470]) ).
cnf(refute_0_919,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_920,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_0_920,refute_0_0]) ).
cnf(refute_0_922,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_0_452,refute_0_177]) ).
cnf(refute_0_923,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_0_917,refute_0_922]) ).
cnf(refute_0_924,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_925,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
( e21 != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_925,refute_0_921]) ).
cnf(refute_0_927,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_926]) ).
cnf(refute_0_928,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_0_927,refute_0_376]) ).
cnf(refute_0_929,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_928,refute_0_370]) ).
cnf(refute_0_930,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_231]) ).
cnf(refute_0_931,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_0_232]) ).
cnf(refute_0_932,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_931,refute_0_375]) ).
cnf(refute_0_933,plain,
( op1(e11,e12) != e12
| op1(e11,e13) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_934,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
( op1(e11,e12) != e12
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_0_934,refute_0_402]) ).
cnf(refute_0_936,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_937,plain,
( e12 != e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_340,refute_0_936]) ).
cnf(refute_0_938,plain,
( e12 != e12
| op1(e10,e12) = e12
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_937,refute_0_935]) ).
cnf(refute_0_939,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_938]) ).
cnf(refute_0_940,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_233]) ).
cnf(refute_0_941,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_0_245]) ).
cnf(refute_0_942,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_247]) ).
cnf(refute_0_943,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_942,refute_0_414]) ).
cnf(refute_0_944,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_0_249]) ).
cnf(refute_0_945,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_0_250]) ).
cnf(refute_0_946,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_947,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_0_947,refute_0_944]) ).
cnf(refute_0_949,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_0_950,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_949]) ).
cnf(refute_0_951,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_950,refute_0_948]) ).
cnf(refute_0_952,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_951]) ).
cnf(refute_0_953,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_0_952,refute_0_943]) ).
cnf(refute_0_954,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_0_941,refute_0_953]) ).
cnf(refute_0_955,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_0_252]) ).
cnf(refute_0_956,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_0_957,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_956]) ).
cnf(refute_0_958,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_0_955,refute_0_957]) ).
cnf(refute_0_959,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_958,refute_0_433]) ).
cnf(refute_0_960,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_0_954,refute_0_959]) ).
cnf(refute_0_961,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_0_962,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
( e13 != op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_0_962,refute_0_940]) ).
cnf(refute_0_964,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_965,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_932,refute_0_964]) ).
cnf(refute_0_966,plain,
( e13 != e13
| op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_0_965,refute_0_963]) ).
cnf(refute_0_967,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_966]) ).
cnf(refute_0_968,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_969,plain,
( op1(e11,e13) != e13
| e12 = e13
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
( e12 = e13
| op1(e10,e12) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_939,refute_0_969]) ).
cnf(refute_0_971,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_970,refute_0_253]) ).
cnf(refute_0_972,plain,
( op1(e11,e11) != e10
| op1(e11,e13) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_973,plain,
( op1(e11,e11) != e10
| op1(e10,e12) = e12
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
( op1(e11,e11) != e10
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_0_973,refute_0_930]) ).
cnf(refute_0_975,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_0_253]) ).
cnf(refute_0_976,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_977,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_225,refute_0_976]) ).
cnf(refute_0_978,plain,
( op1(e11,e10) != e11
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_0_975,refute_0_977]) ).
cnf(refute_0_979,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_978,refute_0_238]) ).
cnf(refute_0_980,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_0_981,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_274,refute_0_980]) ).
cnf(refute_0_982,plain,
( op1(e11,e10) != e11
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_979,refute_0_981]) ).
cnf(refute_0_983,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_254]) ).
cnf(refute_0_984,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_985,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_984,refute_0_983]) ).
cnf(refute_0_986,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_982,refute_0_985]) ).
cnf(refute_0_987,plain,
op1(e11,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_0_255]) ).
cnf(refute_0_988,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_0_256]) ).
cnf(refute_0_989,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_0_988,refute_0_953]) ).
cnf(refute_0_990,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_0_989,refute_0_959]) ).
cnf(refute_0_991,plain,
( op1(e11,e10) != e13
| op1(e13,e10) != e13
| op1(e11,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_0_992,plain,
( op1(e11,e10) != e13
| op1(e11,e10) = op1(e13,e10)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
( op1(e11,e10) != e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_0_992,refute_0_987]) ).
cnf(refute_0_994,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_0_257]) ).
cnf(refute_0_995,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_994,refute_0_375]) ).
cnf(refute_0_996,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_995,refute_0_336]) ).
cnf(refute_0_997,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_0_996,refute_0_324]) ).
cnf(refute_0_998,plain,
( op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_997]) ).
cnf(refute_0_999,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_0_258]) ).
cnf(refute_0_1000,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_999,refute_0_329]) ).
cnf(refute_0_1001,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e10) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_1000,refute_0_964]) ).
cnf(refute_0_1002,plain,
( e13 != e13
| op1(e11,e10) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_0_1001,refute_0_963]) ).
cnf(refute_0_1003,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_0_1005,plain,
( op1(e11,e11) != e11
| e13 = e11
| op1(e11,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( e13 = e11
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_0_998,refute_0_1005]) ).
cnf(refute_0_1007,plain,
( op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_0_1006,refute_0_354]) ).
cnf(refute_0_1008,plain,
( e13 != e13
| op1(e11,e10) != e13
| op1(e11,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_1009,plain,
( e13 != e13
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( e13 != e13
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_1009,refute_0_993]) ).
cnf(refute_0_1011,plain,
( op1(e10,e12) = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_0_1013,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( e11 != e11
| op1(e10,e10) = e10
| op1(e10,e12) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1013,refute_0_986]) ).
cnf(refute_0_1015,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_0_1017,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e12) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_1017,refute_0_974]) ).
cnf(refute_0_1019,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_0_1020,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_1019,refute_0_1018]) ).
cnf(refute_0_1021,plain,
( op1(e10,e10) != e12
| op1(e10,e12) != e12
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1022,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_0_1022,refute_0_345]) ).
cnf(refute_0_1024,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_1025,plain,
( op1(e10,e10) != e12
| e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( op1(e10,e10) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_1025,refute_0_435]) ).
cnf(refute_0_1027,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1028,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_335,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( op1(e10,e12) != e12
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_1028,refute_0_318]) ).
cnf(refute_0_1030,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_1031,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1020,refute_0_1030]) ).
cnf(refute_0_1032,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1031,refute_0_1029]) ).
cnf(refute_0_1033,plain,
( op1(e10,e10) = e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_1035,plain,
( op1(e10,e12) != e11
| op1(e10,e10) = e10
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( op1(e10,e12) != e11
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_1035,refute_0_318]) ).
cnf(refute_0_1037,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_259]) ).
cnf(refute_0_1038,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_260]) ).
cnf(refute_0_1039,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_0_1040,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_0_990,refute_0_1039]) ).
cnf(refute_0_1041,plain,
( e13 != op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_0_1040,refute_0_1038]) ).
cnf(refute_0_1042,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_1043,plain,
( e13 != e13
| e13 = op1(e13,e11)
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_393,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( e13 != e13
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_0_1043,refute_0_1041]) ).
cnf(refute_0_1045,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( op1(e11,e11) != e12
| op1(e13,e11) != e12
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1047,plain,
( op1(e11,e11) != e12
| op1(e11,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_0_1047,refute_0_1037]) ).
cnf(refute_0_1049,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_0_261]) ).
cnf(refute_0_1050,plain,
( op1(e11,e12) != e11
| e13 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_1049,refute_0_251]) ).
cnf(refute_0_1051,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_1050,refute_0_255]) ).
cnf(refute_0_1052,plain,
( op1(e11,e12) != e11
| e11 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_1051,refute_0_427]) ).
cnf(refute_0_1053,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_1052,refute_0_367]) ).
cnf(refute_0_1054,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_0_262]) ).
cnf(refute_0_1055,plain,
( e13 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_1054,refute_0_351]) ).
cnf(refute_0_1056,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_0_1055,refute_0_354]) ).
cnf(refute_0_1057,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_1058,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_306,refute_0_1057]) ).
cnf(refute_0_1059,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_1056,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_1059,refute_0_983]) ).
cnf(refute_0_1061,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_0_1062,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1062,refute_0_1053]) ).
cnf(refute_0_1064,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( e12 != e12
| op1(e11,e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_0_1066,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_1066,refute_0_1048]) ).
cnf(refute_0_1068,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1067]) ).
cnf(refute_0_1069,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_0_1070,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( e11 != e11
| op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_1070,refute_0_1036]) ).
cnf(refute_0_1072,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( e12 != e12
| op1(e10,e10) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_0_1074,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1072,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( e12 != e12
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1074,refute_0_1026]) ).
cnf(refute_0_1076,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( op1(e10,e11) != e12
| op1(e13,e11) != e12
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1078,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_1045,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( op1(e10,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_1078,refute_0_377]) ).
cnf(refute_0_1080,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_335,refute_0_1034]) ).
cnf(refute_0_1081,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_1080,refute_0_318]) ).
cnf(refute_0_1082,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_1070,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e12
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_1083,refute_0_1027]) ).
cnf(refute_0_1085,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_1084,refute_0_318]) ).
cnf(refute_0_1086,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_0_263]) ).
cnf(refute_0_1087,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_1088,plain,
( op1(e10,e13) != e13
| e12 = e13
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( e12 = e13
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_960,refute_0_1088]) ).
cnf(refute_0_1090,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_1089,refute_0_253]) ).
cnf(refute_0_1091,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1090,refute_0_1030]) ).
cnf(refute_0_1092,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1091,refute_0_1085]) ).
cnf(refute_0_1093,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_1092,refute_0_1079]) ).
cnf(refute_0_1094,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( op1(e10,e10) != e10
| e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1094,refute_0_1024]) ).
cnf(refute_0_1096,plain,
( e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_1076,refute_0_1095]) ).
cnf(refute_0_1097,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_1096,refute_0_435]) ).
cnf(refute_0_1098,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_0_1097,refute_0_929]) ).
cnf(refute_0_1099,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1098,refute_0_1021]) ).
cnf(refute_0_1100,plain,
( op1(e10,e10) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_0_1099,refute_0_345]) ).
cnf(refute_0_1101,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_0_264]) ).
cnf(refute_0_1102,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_0_368,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_0_265]) ).
cnf(refute_0_1104,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_1103,refute_0_334]) ).
cnf(refute_0_1105,plain,
( op1(e11,e10) != e13
| op1(e11,e13) != e10
| op1(e11,op1(e11,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_1106,plain,
( op1(e11,e10) != e13
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( op1(e11,e10) != e13
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),e13) )],[refute_0_1106,refute_0_1102]) ).
cnf(refute_0_1108,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_1109,plain,
( op1(e11,e10) != e13
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| e13 = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( op1(e11,e10) != e13
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_1109,refute_0_238]) ).
cnf(refute_0_1111,plain,
( op1(e11,e10) != e13
| ~ definitionFOFtoCNF_9
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_0_1097,refute_0_1110]) ).
cnf(refute_0_1112,plain,
op1(e11,e10) != op1(e11,e11),
inference(canonicalize,[],[normalize_0_266]) ).
cnf(refute_0_1113,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_0_267]) ).
cnf(refute_0_1114,plain,
( op1(e11,e10) != e12
| op1(e11,e12) != e12
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1115,plain,
( op1(e11,e10) != e12
| op1(e11,e10) = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_335,refute_0_1114]) ).
cnf(refute_0_1116,plain,
( op1(e11,e10) != e12
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_0_1115,refute_0_1113]) ).
cnf(refute_0_1117,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(canonicalize,[],[normalize_0_268]) ).
cnf(refute_0_1118,plain,
( e12 != e12
| op1(e11,e10) != e12
| op1(e11,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_0_1119,plain,
( e12 != e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( e12 != e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_1119,refute_0_1116]) ).
cnf(refute_0_1121,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( e11 != e11
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1121,refute_0_1061]) ).
cnf(refute_0_1123,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1122,refute_0_1053]) ).
cnf(refute_0_1124,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( op1(e11,e10) != e12
| op1(e11,e11) != e12
| op1(e11,e10) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1126,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e10) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_0_1126,refute_0_1112]) ).
cnf(refute_0_1128,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_1129,plain,
( op1(e11,e10) != e12
| e12 = e10
| op1(e10,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_0_1131,plain,
( op1(e11,e10) != e12
| e12 = e10
| e12 = e11
| op1(e10,e10) = e12
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
( op1(e11,e10) != e12
| op1(e11,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_1133,plain,
( op1(e11,e10) != e12
| e12 = e10
| e12 = e11
| e12 = e13
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( op1(e11,e10) != e12
| e12 = e11
| e12 = e13
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_1133,refute_0_435]) ).
cnf(refute_0_1135,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_1136,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_1135,refute_0_367]) ).
cnf(refute_0_1137,plain,
( op1(e11,e10) != e12
| e12 = e13
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_0_1134,refute_0_1136]) ).
cnf(refute_0_1138,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_1137,refute_0_253]) ).
cnf(refute_0_1139,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_0_269]) ).
cnf(refute_0_1140,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_0_368,refute_0_1139]) ).
cnf(refute_0_1141,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_0_1142,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1098,refute_0_1141]) ).
cnf(refute_0_1143,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_1142,refute_0_318]) ).
cnf(refute_0_1144,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_1145,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_335,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( op1(e11,e10) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_0_1145,refute_0_1113]) ).
cnf(refute_0_1147,plain,
( e11 != e11
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1117,refute_0_1012]) ).
cnf(refute_0_1148,plain,
( e11 != e11
| op1(e11,e10) = e10
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1147,refute_0_1146]) ).
cnf(refute_0_1149,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1151,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e10) = e10
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
( e12 != e12
| op1(e11,e10) = e10
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_0_1151,refute_0_1143]) ).
cnf(refute_0_1153,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( op1(e11,e10) != e10
| op1(e11,op1(e11,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_1155,plain,
( op1(e11,e10) = e12
| op1(e11,e10) = e13
| op1(e11,op1(e11,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),e10) )],[refute_0_1155,refute_0_1140]) ).
cnf(refute_0_1157,plain,
( ~ definitionFOFtoCNF_9
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_0_1097,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_928,refute_0_1157]) ).
cnf(refute_0_1159,plain,
( e12 != e12
| op1(e11,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_1158,refute_0_1118]) ).
cnf(refute_0_1160,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_1159,refute_0_1138]) ).
cnf(refute_0_1161,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( e13 != e13
| op1(e10,e10) = e12
| op1(e11,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_1161,refute_0_1008]) ).
cnf(refute_0_1163,plain,
( e13 != e13
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_1162,refute_0_1111]) ).
cnf(refute_0_1164,plain,
( ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_423,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_928,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( e11 != e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_335,refute_0_1061]) ).
cnf(refute_0_1167,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1166,refute_0_1053]) ).
cnf(refute_0_1168,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_1168,refute_0_341]) ).
cnf(refute_0_1170,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_0_1169,refute_0_369]) ).
cnf(refute_0_1171,plain,
( ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_0_1097,refute_0_1170]) ).
cnf(refute_0_1172,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_928,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_1174,plain,
( op1(e11,e11) != e10
| e12 = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
( e12 = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_1165,refute_0_1174]) ).
cnf(refute_0_1176,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_1175,refute_0_435]) ).
cnf(refute_0_1177,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1176,refute_0_1073]) ).
cnf(refute_0_1178,plain,
( e12 != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1177,refute_0_1100]) ).
cnf(refute_0_1179,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_397,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_1179,refute_0_344]) ).
cnf(refute_0_1181,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1060,refute_0_1144]) ).
cnf(refute_0_1182,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_0_1181,refute_0_1113]) ).
cnf(refute_0_1183,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_0_270]) ).
cnf(refute_0_1184,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_292,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_316,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_0_246,refute_0_1185]) ).
cnf(refute_0_1187,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_1179,refute_0_1186]) ).
cnf(refute_0_1188,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1187,refute_0_1012]) ).
cnf(refute_0_1189,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1188,refute_0_1182]) ).
cnf(refute_0_1190,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_1192,plain,
( op1(e10,e12) != e12
| e11 = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( e11 = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1180,refute_0_1192]) ).
cnf(refute_0_1194,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_1193,refute_0_367]) ).
cnf(refute_0_1195,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_0_1194,refute_0_177]) ).
cnf(refute_0_1196,plain,
( op1(e11,e12) = e11
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_335,refute_0_341]) ).
cnf(refute_0_1197,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_0_1196,refute_0_317]) ).
cnf(refute_0_1198,plain,
( h4(e13) != e21
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_241,refute_0_673]) ).
cnf(refute_0_1199,plain,
( e21 != e21
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_244,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_0_1200,refute_0_1197]) ).
cnf(refute_0_1202,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_1179,refute_0_1201]) ).
cnf(refute_0_1203,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_1202,refute_0_1144]) ).
cnf(refute_0_1204,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_0_1203,refute_0_1113]) ).
cnf(refute_0_1205,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_0_1200,refute_0_1185]) ).
cnf(refute_0_1206,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_1179,refute_0_1205]) ).
cnf(refute_0_1207,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1206,refute_0_1012]) ).
cnf(refute_0_1208,plain,
( e11 != e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_1207,refute_0_1204]) ).
cnf(refute_0_1209,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_339,refute_0_1208]) ).
cnf(refute_0_1210,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_0_1209,refute_0_533]) ).
cnf(refute_0_1211,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_1210,refute_0_518]) ).
cnf(refute_0_1212,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_1212,refute_0_888]) ).
cnf(refute_0_1214,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_0_1213,refute_0_474]) ).
cnf(refute_0_1215,plain,
( ~ definitionFOFtoCNF_23
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_1210,refute_0_892]) ).
cnf(refute_0_1216,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_1215]) ).
cnf(refute_0_1217,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_1216,refute_0_895]) ).
cnf(refute_0_1218,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_0_1217,refute_0_501]) ).
cnf(refute_0_1219,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_899,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_0_886,refute_0_1219]) ).
cnf(refute_0_1221,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_1210,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_0_1210,refute_0_907]) ).
cnf(refute_0_1223,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_1222,refute_0_909]) ).
cnf(refute_0_1224,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_1223,refute_0_1221]) ).
cnf(refute_0_1225,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_1224,refute_0_1214]) ).
cnf(refute_0_1226,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_591,refute_0_1225]) ).
cnf(refute_0_1227,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_0_1226,refute_0_1195]) ).
cnf(refute_0_1228,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_1229,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_1227,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_0_1194,refute_0_469]) ).
cnf(refute_0_1231,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_0_1226,refute_0_1230]) ).
cnf(refute_0_1232,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_1231,refute_0_513]) ).
cnf(refute_0_1233,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_0_1232,refute_0_1229]) ).
cnf(refute_0_1234,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_0_1233,refute_0_0]) ).
cnf(refute_0_1235,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_150,refute_0_1234]) ).
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) != 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_1_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_1_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_1_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_1_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_1_4,normalize_1_5]) ).
fof(normalize_1_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_1_3,normalize_1_6,normalize_1_5]) ).
fof(normalize_1_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_1_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_1_7,normalize_1_8]) ).
fof(normalize_1_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_2,normalize_1_9,normalize_1_6,normalize_1_5,normalize_1_8]) ).
fof(normalize_1_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_1_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_1_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_1_11,normalize_1_12]) ).
fof(normalize_1_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_10,normalize_1_13,normalize_1_12]) ).
fof(normalize_1_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_1_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_14,normalize_1_15]) ).
fof(normalize_1_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_9]) ).
fof(normalize_1_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_1_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_1_23]) ).
fof(normalize_1_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_1_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_6]) ).
fof(normalize_1_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_1_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_1_35]) ).
fof(normalize_1_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_1_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_1_35]) ).
fof(normalize_1_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_13]) ).
fof(normalize_1_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_45,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_46,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_47,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_12]) ).
fof(normalize_1_48,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_1_47]) ).
fof(normalize_1_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_50,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_51,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_52,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_1_51]) ).
fof(normalize_1_53,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_1_51]) ).
fof(normalize_1_54,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_55,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_56,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_57,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_58,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_59,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_60,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_61,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_62,plain,
e21 != e22,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_63,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_64,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_65,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_66,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_1_67,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_1_66]) ).
fof(normalize_1_68,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_63,normalize_1_64,normalize_1_65,normalize_1_67]) ).
fof(normalize_1_69,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_68]) ).
fof(normalize_1_70,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_71,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_72,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_73,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_74,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_1_75,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_74]) ).
fof(normalize_1_76,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_1_75]) ).
fof(normalize_1_77,plain,
( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_1_51]) ).
fof(normalize_1_78,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_79,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_80,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_81,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_82,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_83,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_1_51]) ).
fof(normalize_1_84,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_85,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_86,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_87,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_88,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_89,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_90,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_91,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_92,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_1_93,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_1_94,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_1_92,normalize_1_93]) ).
fof(normalize_1_95,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_1_91,normalize_1_94,normalize_1_93]) ).
fof(normalize_1_96,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_1_97,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_1_95,normalize_1_96]) ).
fof(normalize_1_98,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_90,normalize_1_97,normalize_1_94,normalize_1_93,normalize_1_96]) ).
fof(normalize_1_99,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_1_100,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_1_101,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_1_99,normalize_1_100]) ).
fof(normalize_1_102,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_98,normalize_1_101,normalize_1_100]) ).
fof(normalize_1_103,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_102,normalize_1_74]) ).
fof(normalize_1_104,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_1_103]) ).
fof(normalize_1_105,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_106,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_97]) ).
fof(normalize_1_107,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_106]) ).
fof(normalize_1_108,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_96]) ).
fof(normalize_1_109,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_108]) ).
fof(normalize_1_110,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_1_111,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_112,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_1_113,plain,
e12 != e13,
inference(conjunct,[],[normalize_1_112]) ).
fof(normalize_1_114,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_115,plain,
e11 != e13,
inference(conjunct,[],[normalize_1_112]) ).
fof(normalize_1_116,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_94]) ).
fof(normalize_1_117,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_116]) ).
fof(normalize_1_118,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_93]) ).
fof(normalize_1_119,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_1_118]) ).
fof(normalize_1_120,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_1_118]) ).
fof(normalize_1_121,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_116]) ).
fof(normalize_1_122,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_101]) ).
fof(normalize_1_123,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_122]) ).
fof(normalize_1_124,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_100]) ).
fof(normalize_1_125,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_1_124]) ).
fof(normalize_1_126,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_127,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_128,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_129,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_130,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_131,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_1_132,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_133,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_134,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_135,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_136,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_137,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_138,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_1_139,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_1_140,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_141,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_1_139,normalize_1_140]) ).
fof(normalize_1_142,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_138,normalize_1_141,normalize_1_140]) ).
fof(normalize_1_143,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_1_144,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_142,normalize_1_143]) ).
fof(normalize_1_145,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_1_144]) ).
fof(normalize_1_146,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_1_145]) ).
fof(normalize_1_147,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_148,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_149,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_143]) ).
fof(normalize_1_150,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_1_149]) ).
fof(normalize_1_151,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_1_149]) ).
fof(normalize_1_152,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_153,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_154,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_155,plain,
e11 != e12,
inference(conjunct,[],[normalize_1_112]) ).
fof(normalize_1_156,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_1_149]) ).
fof(normalize_1_157,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_158,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_159,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_141]) ).
fof(normalize_1_160,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_1_159]) ).
fof(normalize_1_161,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_162,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_1_17]) ).
fof(normalize_1_163,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_164,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_165,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_166,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_167,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_140]) ).
fof(normalize_1_168,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_1_167]) ).
fof(normalize_1_169,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_1_167]) ).
fof(normalize_1_170,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_171,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_172,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_112]) ).
fof(normalize_1_173,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_1_167]) ).
fof(normalize_1_174,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_175,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_176,plain,
e10 != e11,
inference(conjunct,[],[normalize_1_112]) ).
fof(normalize_1_177,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_178,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_179,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_180,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_181,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_1_182,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_1_181]) ).
fof(normalize_1_183,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_1_182,normalize_1_16,normalize_1_13,normalize_1_9,normalize_1_6,normalize_1_5,normalize_1_8,normalize_1_15,normalize_1_12]) ).
fof(normalize_1_184,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_1_185,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_1_186,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_1_187,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_1_185,normalize_1_186]) ).
fof(normalize_1_188,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_184,normalize_1_187,normalize_1_186]) ).
fof(normalize_1_189,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_1_190,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_188,normalize_1_189]) ).
fof(normalize_1_191,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_1_183,normalize_1_190,normalize_1_187,normalize_1_189,normalize_1_186]) ).
fof(normalize_1_192,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_1_193,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_1_194,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_1_192,normalize_1_193]) ).
fof(normalize_1_195,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_1_191,normalize_1_194,normalize_1_193]) ).
fof(normalize_1_196,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_1_197,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_1_195,normalize_1_196]) ).
fof(normalize_1_198,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_1_197]) ).
fof(normalize_1_199,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_1_198]) ).
fof(normalize_1_200,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_1_194]) ).
fof(normalize_1_201,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_1_200]) ).
fof(normalize_1_202,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_193]) ).
fof(normalize_1_203,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_1_202]) ).
fof(normalize_1_204,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_1_202]) ).
fof(normalize_1_205,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_1_196]) ).
fof(normalize_1_206,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_1_205]) ).
fof(normalize_1_207,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_208,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_1_198]) ).
fof(normalize_1_209,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_210,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_68]) ).
fof(normalize_1_211,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_212,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_213,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_214,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_215,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_1_167]) ).
fof(normalize_1_216,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_217,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_218,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_219,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_1_181]) ).
fof(normalize_1_220,plain,
e20 != e21,
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_221,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_222,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_223,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_187]) ).
fof(normalize_1_224,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_1_223]) ).
fof(normalize_1_225,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_226,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_227,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_228,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_186]) ).
fof(normalize_1_229,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_1_228]) ).
fof(normalize_1_230,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_1_228]) ).
fof(normalize_1_231,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_232,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_233,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_234,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_235,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_236,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_1_228]) ).
fof(normalize_1_237,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_238,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_1_228]) ).
fof(normalize_1_239,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_1_190]) ).
fof(normalize_1_240,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_1_239]) ).
fof(normalize_1_241,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_1_189]) ).
fof(normalize_1_242,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_1_241]) ).
fof(normalize_1_243,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_1_241]) ).
fof(normalize_1_244,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_245,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_246,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_247,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_248,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_1_84]) ).
fof(normalize_1_249,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_1_181]) ).
fof(normalize_1_250,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_251,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_1_252,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_1_251]) ).
fof(normalize_1_253,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_1_252,normalize_1_103,normalize_1_101,normalize_1_97,normalize_1_94,normalize_1_93,normalize_1_96,normalize_1_74,normalize_1_100]) ).
fof(normalize_1_254,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_1_253,normalize_1_144,normalize_1_141,normalize_1_143,normalize_1_140]) ).
fof(normalize_1_255,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_1_256,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_1_257,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_1_255,normalize_1_256]) ).
fof(normalize_1_258,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_1_254,normalize_1_257,normalize_1_256]) ).
fof(normalize_1_259,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_1_260,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_1_258,normalize_1_259]) ).
fof(normalize_1_261,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_1_260]) ).
fof(normalize_1_262,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_1_261]) ).
fof(normalize_1_263,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_1_257]) ).
fof(normalize_1_264,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_1_263]) ).
fof(normalize_1_265,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_266,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_1_256]) ).
fof(normalize_1_267,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_1_266]) ).
fof(normalize_1_268,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_1_266]) ).
fof(normalize_1_269,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_1_259]) ).
fof(normalize_1_270,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_1_269]) ).
fof(normalize_1_271,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_272,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_273,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_1_251]) ).
fof(normalize_1_274,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_1_261]) ).
fof(normalize_1_275,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_276,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_277,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_1_251]) ).
fof(normalize_1_278,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_279,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_280,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_281,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_282,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_283,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_284,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_285,plain,
( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_1_261]) ).
fof(normalize_1_286,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_287,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_288,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_126]) ).
fof(normalize_1_289,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_1_145]) ).
fof(normalize_1_290,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_1_145]) ).
fof(normalize_1_291,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_292,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_293,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_1_75]) ).
cnf(refute_1_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_3,refute_1_7]) ).
cnf(refute_1_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_2,refute_1_10]) ).
cnf(refute_1_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_12,refute_1_17]) ).
cnf(refute_1_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_20,refute_1_19]) ).
cnf(refute_1_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_18,refute_1_21]) ).
cnf(refute_1_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_1_22,refute_1_11]) ).
cnf(refute_1_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_1_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_27]) ).
cnf(refute_1_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_31]) ).
cnf(refute_1_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_6,refute_1_33]) ).
cnf(refute_1_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_32,refute_1_35]) ).
cnf(refute_1_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_1_28,refute_1_36]) ).
cnf(refute_1_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_1_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_39]) ).
cnf(refute_1_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_24,refute_1_42]) ).
cnf(refute_1_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_1_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_23,refute_1_47]) ).
cnf(refute_1_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_1_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_57]) ).
cnf(refute_1_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_1_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_1_60,refute_1_51]) ).
cnf(refute_1_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_1_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_1_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_68]) ).
cnf(refute_1_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_1_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_1_71,refute_1_62]) ).
cnf(refute_1_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_1_39]) ).
cnf(refute_1_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_74]) ).
cnf(refute_1_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_73,refute_1_75]) ).
cnf(refute_1_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_1_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_1_78,refute_1_72]) ).
cnf(refute_1_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_80]) ).
cnf(refute_1_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_81,refute_1_79]) ).
cnf(refute_1_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_76,refute_1_83]) ).
cnf(refute_1_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_84,refute_1_82]) ).
cnf(refute_1_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_1_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_86,refute_1_85]) ).
cnf(refute_1_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_1_87,refute_1_61]) ).
cnf(refute_1_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_1_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_1_90,refute_1_91]) ).
cnf(refute_1_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_92]) ).
cnf(refute_1_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_1_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_1_94,refute_1_95]) ).
cnf(refute_1_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_96]) ).
cnf(refute_1_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_1_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_1_93,refute_1_99]) ).
cnf(refute_1_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_1_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_1_89,refute_1_102]) ).
cnf(refute_1_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_1_41]) ).
cnf(refute_1_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_105]) ).
cnf(refute_1_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_104,refute_1_106]) ).
cnf(refute_1_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_1_87,refute_1_107]) ).
cnf(refute_1_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_1_103,refute_1_110]) ).
cnf(refute_1_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_108,refute_1_112]) ).
cnf(refute_1_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_1_103,refute_1_113]) ).
cnf(refute_1_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_1_42]) ).
cnf(refute_1_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_1_116,refute_1_117]) ).
cnf(refute_1_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_118]) ).
cnf(refute_1_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_1_119,refute_1_120]) ).
cnf(refute_1_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_1_115,refute_1_121]) ).
cnf(refute_1_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_1_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_1_122,refute_1_123]) ).
cnf(refute_1_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_1_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_1_124,refute_1_125]) ).
cnf(refute_1_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_1_114,refute_1_126]) ).
cnf(refute_1_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_108,refute_1_128]) ).
cnf(refute_1_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_1_122,refute_1_129]) ).
cnf(refute_1_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_1_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_131]) ).
cnf(refute_1_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_1_130,refute_1_132]) ).
cnf(refute_1_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_1_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_1_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_1_135,refute_1_136]) ).
cnf(refute_1_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_108,refute_1_137]) ).
cnf(refute_1_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_1_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_1_138,refute_1_139]) ).
cnf(refute_1_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_1_127,refute_1_140]) ).
cnf(refute_1_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_1_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_1_141,refute_1_142]) ).
cnf(refute_1_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_1_111,refute_1_143]) ).
cnf(refute_1_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_1_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_1_144,refute_1_145]) ).
cnf(refute_1_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_1_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_1_146,refute_1_147]) ).
cnf(refute_1_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_1_148,refute_1_88]) ).
cnf(refute_1_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_1_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_149]) ).
cnf(refute_1_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_1_151,refute_1_50]) ).
cnf(refute_1_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_1_152,refute_1_1]) ).
cnf(refute_1_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_1_44]) ).
cnf(refute_1_155,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_45]) ).
cnf(refute_1_156,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_1_46]) ).
cnf(refute_1_157,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_1_158,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_1_157,refute_1_158]) ).
cnf(refute_1_160,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_159]) ).
cnf(refute_1_161,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_1_162,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_1_160,refute_1_161]) ).
cnf(refute_1_163,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_1_156,refute_1_162]) ).
cnf(refute_1_164,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_1_165,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_1_163,refute_1_164]) ).
cnf(refute_1_166,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_167,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_165,refute_1_166]) ).
cnf(refute_1_168,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_1_167,refute_1_155]) ).
cnf(refute_1_169,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_1_48]) ).
cnf(refute_1_170,plain,
( e20 != e20
| op2(e20,e22) != e20
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_1_171,plain,
( e20 != e20
| op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_169,refute_1_170]) ).
cnf(refute_1_172,plain,
( e20 != e20
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_171,refute_1_168]) ).
cnf(refute_1_173,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_86,refute_1_172]) ).
cnf(refute_1_174,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_1_173,refute_1_154]) ).
cnf(refute_1_175,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_176,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_177,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_165,refute_1_176]) ).
cnf(refute_1_178,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_1_177,refute_1_175]) ).
cnf(refute_1_179,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_1_174,refute_1_178]) ).
cnf(refute_1_180,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_1_179,refute_1_153]) ).
cnf(refute_1_181,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_50]) ).
cnf(refute_1_182,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_183,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_182]) ).
cnf(refute_1_184,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_1_183,refute_1_181]) ).
cnf(refute_1_185,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_186,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_1_53]) ).
cnf(refute_1_187,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_188,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_189,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_188]) ).
cnf(refute_1_190,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_187,refute_1_189]) ).
cnf(refute_1_191,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_192,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_193,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_192]) ).
cnf(refute_1_194,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_1_193,refute_1_191]) ).
cnf(refute_1_195,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_190,refute_1_194]) ).
cnf(refute_1_196,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_1_197,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_1_197,refute_1_186]) ).
cnf(refute_1_199,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_200,plain,
( op2(e20,e21) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_198,refute_1_199]) ).
cnf(refute_1_201,plain,
( e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_185,refute_1_200]) ).
cnf(refute_1_202,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_57]) ).
cnf(refute_1_203,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_204,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_203,refute_1_202]) ).
cnf(refute_1_205,plain,
( h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_201,refute_1_204]) ).
cnf(refute_1_206,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_207,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_205,refute_1_206]) ).
cnf(refute_1_208,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_1_207,refute_1_184]) ).
cnf(refute_1_209,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_210,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_209,refute_1_10]) ).
cnf(refute_1_211,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_59]) ).
cnf(refute_1_212,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_213,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_212]) ).
cnf(refute_1_214,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_1_213,refute_1_211]) ).
cnf(refute_1_215,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_216,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_1_215,refute_1_214]) ).
cnf(refute_1_217,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_1_210,refute_1_216]) ).
cnf(refute_1_218,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_217,refute_1_47]) ).
cnf(refute_1_219,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_218,refute_1_49]) ).
cnf(refute_1_220,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_221,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_222,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_221]) ).
cnf(refute_1_223,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_220,refute_1_222]) ).
cnf(refute_1_224,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_225,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_224]) ).
cnf(refute_1_226,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_1_223,refute_1_225]) ).
cnf(refute_1_227,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_228,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_165,refute_1_227]) ).
cnf(refute_1_229,plain,
( e20 = e22
| e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_226,refute_1_228]) ).
cnf(refute_1_230,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_231,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_229,refute_1_230]) ).
cnf(refute_1_232,plain,
e21 != e22,
inference(canonicalize,[],[normalize_1_62]) ).
cnf(refute_1_233,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_231,refute_1_232]) ).
cnf(refute_1_234,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_235,plain,
( op2(e23,e21) != e23
| e22 = e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
( e22 = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_219,refute_1_235]) ).
cnf(refute_1_237,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_236,refute_1_19]) ).
cnf(refute_1_238,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_1_239,plain,
( e23 != e23
| e23 = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_237,refute_1_238]) ).
cnf(refute_1_240,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_1_239,refute_1_208]) ).
cnf(refute_1_241,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_1_242,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_240]) ).
cnf(refute_1_243,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_244,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_1_70]) ).
cnf(refute_1_245,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_246,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_245]) ).
cnf(refute_1_247,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_246]) ).
cnf(refute_1_248,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_1_249,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_250,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_248,refute_1_249]) ).
cnf(refute_1_251,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_247,refute_1_250]) ).
cnf(refute_1_252,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_253,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_254,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_247,refute_1_254]) ).
cnf(refute_1_256,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_257,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_255,refute_1_256]) ).
cnf(refute_1_258,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_1_251,refute_1_257]) ).
cnf(refute_1_259,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_260,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_1_258,refute_1_259]) ).
cnf(refute_1_261,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_260]) ).
cnf(refute_1_262,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_263,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_244,refute_1_263]) ).
cnf(refute_1_265,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_266,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_267,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_265,refute_1_266]) ).
cnf(refute_1_268,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_1_264,refute_1_267]) ).
cnf(refute_1_269,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(h4(e10),h2(e13)))]]) ).
cnf(refute_1_270,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
h4(op1(e10,e11)) != op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_270,refute_1_243]) ).
cnf(refute_1_272,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_273,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_272,refute_1_10]) ).
cnf(refute_1_274,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_275,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_276,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_275]) ).
cnf(refute_1_277,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_1_276,refute_1_274]) ).
cnf(refute_1_278,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_279,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_1_278,refute_1_277]) ).
cnf(refute_1_280,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_273,refute_1_279]) ).
cnf(refute_1_281,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_280,refute_1_47]) ).
cnf(refute_1_282,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_283,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_284,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_285,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_1_283,refute_1_284]) ).
cnf(refute_1_286,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_247,refute_1_285]) ).
cnf(refute_1_287,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_288,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_1_286,refute_1_287]) ).
cnf(refute_1_289,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_1_282,refute_1_288]) ).
cnf(refute_1_290,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_291,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_1_289,refute_1_290]) ).
cnf(refute_1_292,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_1_293,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_292]) ).
cnf(refute_1_294,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_281,refute_1_293]) ).
cnf(refute_1_295,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_294,refute_1_49]) ).
cnf(refute_1_296,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_295,refute_1_196]) ).
cnf(refute_1_297,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_1_296,refute_1_186]) ).
cnf(refute_1_298,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_299,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_297,refute_1_298]) ).
cnf(refute_1_300,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_1_299,refute_1_271]) ).
cnf(refute_1_301,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_302,plain,
( h4(e10) != op2(e23,h2(e13))
| op1(e10,e11) != e10
| h4(op1(e10,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_303,plain,
( h4(e10) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_301,refute_1_302]) ).
cnf(refute_1_304,plain,
( h4(e10) != op2(e23,h2(e13))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_1_303,refute_1_300]) ).
cnf(refute_1_305,plain,
( e23 != op2(e23,h2(e13))
| h4(e10) != e23
| h4(e10) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_1_306,plain,
( e23 != op2(e23,h2(e13))
| h4(e10) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_297,refute_1_305]) ).
cnf(refute_1_307,plain,
( e23 != op2(e23,h2(e13))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,h2(e13))) )],[refute_1_306,refute_1_304]) ).
cnf(refute_1_308,plain,
( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_309,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_310,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_309,refute_1_106]) ).
cnf(refute_1_311,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_312,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_313,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_312]) ).
cnf(refute_1_314,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_1_313,refute_1_311]) ).
cnf(refute_1_315,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_1_316,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_315]) ).
cnf(refute_1_317,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_1_316,refute_1_314]) ).
cnf(refute_1_318,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_1_310,refute_1_317]) ).
cnf(refute_1_319,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_320,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_81]) ).
cnf(refute_1_321,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_322,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_242,refute_1_321]) ).
cnf(refute_1_323,plain,
( op2(e22,e20) != e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_1_322,refute_1_320]) ).
cnf(refute_1_324,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_325,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_326,plain,
( e20 != op2(e22,e20)
| op2(e21,e20) != e20
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_327,plain,
( e20 != op2(e22,e20)
| op2(e21,e20) = op2(e22,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_325,refute_1_326]) ).
cnf(refute_1_328,plain,
( e20 != op2(e22,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_1_327,refute_1_324]) ).
cnf(refute_1_329,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_1_85]) ).
cnf(refute_1_330,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_86]) ).
cnf(refute_1_331,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_332,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_331]) ).
cnf(refute_1_333,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_1_332,refute_1_330]) ).
cnf(refute_1_334,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_329,refute_1_333]) ).
cnf(refute_1_335,plain,
( e20 != e20
| op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_1_336,plain,
( e20 != e20
| e20 = op2(e22,e20)
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_334,refute_1_335]) ).
cnf(refute_1_337,plain,
( e20 != e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_1_336,refute_1_328]) ).
cnf(refute_1_338,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_86,refute_1_337]) ).
cnf(refute_1_339,plain,
( e22 != e22
| op2(e22,e20) != e22
| op2(e22,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_1_340,plain,
( e22 != e22
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_338,refute_1_339]) ).
cnf(refute_1_341,plain,
( e22 != e22
| op2(e22,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_340,refute_1_323]) ).
cnf(refute_1_342,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_1_343,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_341]) ).
cnf(refute_1_344,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_345,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_1_343,refute_1_344]) ).
cnf(refute_1_346,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_1_345,refute_1_319]) ).
cnf(refute_1_347,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_87]) ).
cnf(refute_1_348,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_349,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_185,refute_1_348]) ).
cnf(refute_1_350,plain,
( e20 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_1_349,refute_1_347]) ).
cnf(refute_1_351,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_1_88]) ).
cnf(refute_1_352,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_89]) ).
cnf(refute_1_353,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_354,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_353]) ).
cnf(refute_1_355,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_1_354,refute_1_352]) ).
cnf(refute_1_356,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_1_351,refute_1_355]) ).
cnf(refute_1_357,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_358,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_356,refute_1_357]) ).
cnf(refute_1_359,plain,
( e20 != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_1_358,refute_1_350]) ).
cnf(refute_1_360,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_86,refute_1_359]) ).
cnf(refute_1_361,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_1_362,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_360,refute_1_361]) ).
cnf(refute_1_363,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_1_362,refute_1_346]) ).
cnf(refute_1_364,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_363]) ).
cnf(refute_1_365,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_366,plain,
( op2(e22,e21) != e21
| e22 = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_364,refute_1_365]) ).
cnf(refute_1_367,plain,
( e22 = e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_318,refute_1_366]) ).
cnf(refute_1_368,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_369,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_368,refute_1_232]) ).
cnf(refute_1_370,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_367,refute_1_369]) ).
cnf(refute_1_371,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e20,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_1_372,plain,
( h2(e13) = e21
| op2(e20,op2(e20,e21)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_370,refute_1_371]) ).
cnf(refute_1_373,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),e21) )],[refute_1_372,refute_1_308]) ).
cnf(refute_1_374,plain,
( e23 != op2(e23,e21)
| h2(e13) != e21
| e23 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_375,plain,
( e23 != op2(e23,e21)
| e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_373,refute_1_374]) ).
cnf(refute_1_376,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h2(e13))) )],[refute_1_375,refute_1_307]) ).
cnf(refute_1_377,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_378,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_219,refute_1_377]) ).
cnf(refute_1_379,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_378,refute_1_376]) ).
cnf(refute_1_380,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_379]) ).
cnf(refute_1_381,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_382,plain,
( op2(e23,e20) != e22
| e23 = e22
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_380,refute_1_381]) ).
cnf(refute_1_383,plain,
( e23 = e22
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_242,refute_1_382]) ).
cnf(refute_1_384,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_383,refute_1_21]) ).
cnf(refute_1_385,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_1_105]) ).
cnf(refute_1_386,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_107]) ).
cnf(refute_1_387,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_109]) ).
cnf(refute_1_388,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_1_111]) ).
cnf(refute_1_389,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_1_390,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_1_388,refute_1_389]) ).
cnf(refute_1_391,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_1_392,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_391]) ).
cnf(refute_1_393,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_1_387,refute_1_392]) ).
cnf(refute_1_394,plain,
e12 != e13,
inference(canonicalize,[],[normalize_1_113]) ).
cnf(refute_1_395,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_1_396,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_1_395,refute_1_394]) ).
cnf(refute_1_397,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_393,refute_1_396]) ).
cnf(refute_1_398,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_397,refute_1_386]) ).
cnf(refute_1_399,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_1_114]) ).
cnf(refute_1_400,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_1_401,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_402,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_400,refute_1_401]) ).
cnf(refute_1_403,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_402]) ).
cnf(refute_1_404,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_1_405,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_406,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_404,refute_1_405]) ).
cnf(refute_1_407,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_406]) ).
cnf(refute_1_408,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_1_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_409,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_407,refute_1_408]) ).
cnf(refute_1_410,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_1_403,refute_1_409]) ).
cnf(refute_1_411,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_1_412,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_1_410,refute_1_411]) ).
cnf(refute_1_413,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_399,refute_1_412]) ).
cnf(refute_1_414,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_415,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_413,refute_1_414]) ).
cnf(refute_1_416,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_417,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_416]) ).
cnf(refute_1_418,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_1_398,refute_1_417]) ).
cnf(refute_1_419,plain,
e11 != e13,
inference(canonicalize,[],[normalize_1_115]) ).
cnf(refute_1_420,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_418,refute_1_419]) ).
cnf(refute_1_421,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_117]) ).
cnf(refute_1_422,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_1_119]) ).
cnf(refute_1_423,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_1_120]) ).
cnf(refute_1_424,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_1_425,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_423,refute_1_424]) ).
cnf(refute_1_426,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_1_425,refute_1_422]) ).
cnf(refute_1_427,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_426,refute_1_421]) ).
cnf(refute_1_428,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_121]) ).
cnf(refute_1_429,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_426,refute_1_428]) ).
cnf(refute_1_430,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_1_431,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_1_429,refute_1_430]) ).
cnf(refute_1_432,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_1_431,refute_1_427]) ).
cnf(refute_1_433,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_432,refute_1_420]) ).
cnf(refute_1_434,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_433,refute_1_385]) ).
cnf(refute_1_435,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_123]) ).
cnf(refute_1_436,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_1_125]) ).
cnf(refute_1_437,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_127]) ).
cnf(refute_1_438,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_1_128]) ).
cnf(refute_1_439,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_1_440,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_441,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_1_439,refute_1_440]) ).
cnf(refute_1_442,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_441]) ).
cnf(refute_1_443,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_1_444,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_1_442,refute_1_443]) ).
cnf(refute_1_445,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_1_438,refute_1_444]) ).
cnf(refute_1_446,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_1_447,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_1_445,refute_1_446]) ).
cnf(refute_1_448,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_449,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_448]) ).
cnf(refute_1_450,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_1_449,refute_1_437]) ).
cnf(refute_1_451,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_436,refute_1_450]) ).
cnf(refute_1_452,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_1_451,refute_1_435]) ).
cnf(refute_1_453,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_129]) ).
cnf(refute_1_454,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_1_455,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_454]) ).
cnf(refute_1_456,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_1_455,refute_1_453]) ).
cnf(refute_1_457,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_1_452,refute_1_456]) ).
cnf(refute_1_458,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_457,refute_1_434]) ).
cnf(refute_1_459,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_1_130]) ).
cnf(refute_1_460,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_1_132]) ).
cnf(refute_1_461,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_133]) ).
cnf(refute_1_462,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_463,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_462]) ).
cnf(refute_1_464,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_1_463,refute_1_461]) ).
cnf(refute_1_465,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_1_460,refute_1_464]) ).
cnf(refute_1_466,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_465,refute_1_450]) ).
cnf(refute_1_467,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_1_468,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_466,refute_1_467]) ).
cnf(refute_1_469,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_468,refute_1_459]) ).
cnf(refute_1_470,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_1_134]) ).
cnf(refute_1_471,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_135]) ).
cnf(refute_1_472,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_473,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_472]) ).
cnf(refute_1_474,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_1_473,refute_1_471]) ).
cnf(refute_1_475,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_1_470,refute_1_474]) ).
cnf(refute_1_476,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_136]) ).
cnf(refute_1_477,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_478,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_477]) ).
cnf(refute_1_479,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_1_478,refute_1_476]) ).
cnf(refute_1_480,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_475,refute_1_479]) ).
cnf(refute_1_481,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_482,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_480,refute_1_481]) ).
cnf(refute_1_483,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_1_482,refute_1_469]) ).
cnf(refute_1_484,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_1_485,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_483]) ).
cnf(refute_1_486,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_487,plain,
( op1(e10,e12) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_485,refute_1_486]) ).
cnf(refute_1_488,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_1_487,refute_1_458]) ).
cnf(refute_1_489,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_384,refute_1_488]) ).
cnf(refute_1_490,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_1_137]) ).
cnf(refute_1_491,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_1_146]) ).
cnf(refute_1_492,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_1_147]) ).
cnf(refute_1_493,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_1_148]) ).
cnf(refute_1_494,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_1_150]) ).
cnf(refute_1_495,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_1_496,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_494,refute_1_495]) ).
cnf(refute_1_497,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_496,refute_1_459]) ).
cnf(refute_1_498,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_1_499,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_480,refute_1_498]) ).
cnf(refute_1_500,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_1_499,refute_1_497]) ).
cnf(refute_1_501,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_1_502,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_500]) ).
cnf(refute_1_503,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_504,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_1_504,refute_1_493]) ).
cnf(refute_1_506,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_1_151]) ).
cnf(refute_1_507,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_1_153]) ).
cnf(refute_1_508,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_154]) ).
cnf(refute_1_509,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_510,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_509]) ).
cnf(refute_1_511,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_1_510,refute_1_508]) ).
cnf(refute_1_512,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_1_507,refute_1_511]) ).
cnf(refute_1_513,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_514,plain,
( op1(e12,e10) != e12
| e11 = e12
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_1_512,refute_1_513]) ).
cnf(refute_1_515,plain,
( e11 = e12
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_1_506,refute_1_514]) ).
cnf(refute_1_516,plain,
e11 != e12,
inference(canonicalize,[],[normalize_1_155]) ).
cnf(refute_1_517,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_515,refute_1_516]) ).
cnf(refute_1_518,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_519,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_517,refute_1_518]) ).
cnf(refute_1_520,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_519,refute_1_505]) ).
cnf(refute_1_521,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_520]) ).
cnf(refute_1_522,plain,
( e11 != op1(e12,e10)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_1_523,plain,
( e11 != op1(e12,e10)
| op1(e10,e10) = op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_521,refute_1_522]) ).
cnf(refute_1_524,plain,
( e11 != op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_1_523,refute_1_492]) ).
cnf(refute_1_525,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_1_156]) ).
cnf(refute_1_526,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_1_157]) ).
cnf(refute_1_527,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_1_528,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_527]) ).
cnf(refute_1_529,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_526,refute_1_528]) ).
cnf(refute_1_530,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_1_531,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_530,refute_1_419]) ).
cnf(refute_1_532,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_1_529,refute_1_531]) ).
cnf(refute_1_533,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_158]) ).
cnf(refute_1_534,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_535,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_534]) ).
cnf(refute_1_536,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_1_535,refute_1_533]) ).
cnf(refute_1_537,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_532,refute_1_536]) ).
cnf(refute_1_538,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_1_539,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_537,refute_1_538]) ).
cnf(refute_1_540,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_1_539,refute_1_525]) ).
cnf(refute_1_541,plain,
( e11 != e11
| op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_1_542,plain,
( e11 != e11
| e11 = op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_1_540,refute_1_541]) ).
cnf(refute_1_543,plain,
( e11 != e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_1_542,refute_1_524]) ).
cnf(refute_1_544,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_543]) ).
cnf(refute_1_545,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_1_544,refute_1_491]) ).
cnf(refute_1_546,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_1_160]) ).
cnf(refute_1_547,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_161]) ).
cnf(refute_1_548,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_549,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_548]) ).
cnf(refute_1_550,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_1_549,refute_1_547]) ).
cnf(refute_1_551,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_1_546,refute_1_550]) ).
cnf(refute_1_552,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_1_162]) ).
cnf(refute_1_553,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_1_152,refute_1_552]) ).
cnf(refute_1_554,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_1_179,refute_1_553]) ).
cnf(refute_1_555,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_1_163]) ).
cnf(refute_1_556,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_164]) ).
cnf(refute_1_557,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_558,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_557]) ).
cnf(refute_1_559,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_1_558,refute_1_556]) ).
cnf(refute_1_560,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_1_555,refute_1_559]) ).
cnf(refute_1_561,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_165]) ).
cnf(refute_1_562,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_563,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_165,refute_1_562]) ).
cnf(refute_1_564,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_1_563,refute_1_561]) ).
cnf(refute_1_565,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_560,refute_1_564]) ).
cnf(refute_1_566,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_1_567,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_565,refute_1_566]) ).
cnf(refute_1_568,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_1_567,refute_1_554]) ).
cnf(refute_1_569,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_570,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_373,refute_1_569]) ).
cnf(refute_1_571,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_1_570,refute_1_300]) ).
cnf(refute_1_572,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_1_166]) ).
cnf(refute_1_573,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_1_168]) ).
cnf(refute_1_574,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_1_575,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_573,refute_1_574]) ).
cnf(refute_1_576,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_575,refute_1_459]) ).
cnf(refute_1_577,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_578,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_466,refute_1_577]) ).
cnf(refute_1_579,plain,
( e12 != e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_578,refute_1_576]) ).
cnf(refute_1_580,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_579]) ).
cnf(refute_1_581,plain,
( op1(e10,e11) != e11
| op1(e10,e12) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_582,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_580,refute_1_581]) ).
cnf(refute_1_583,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_1_582,refute_1_572]) ).
cnf(refute_1_584,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_1_169]) ).
cnf(refute_1_585,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(canonicalize,[],[normalize_1_170]) ).
cnf(refute_1_586,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_171]) ).
cnf(refute_1_587,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_588,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_587]) ).
cnf(refute_1_589,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_1_588,refute_1_586]) ).
cnf(refute_1_590,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_585,refute_1_589]) ).
cnf(refute_1_591,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_592,plain,
( op1(e12,e11) != e12
| e10 = e12
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_590,refute_1_591]) ).
cnf(refute_1_593,plain,
( e10 = e12
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_584,refute_1_592]) ).
cnf(refute_1_594,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_172]) ).
cnf(refute_1_595,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_593,refute_1_594]) ).
cnf(refute_1_596,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_1_173]) ).
cnf(refute_1_597,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_1_174]) ).
cnf(refute_1_598,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_175]) ).
cnf(refute_1_599,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_600,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_599]) ).
cnf(refute_1_601,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_1_600,refute_1_598]) ).
cnf(refute_1_602,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_1_597,refute_1_601]) ).
cnf(refute_1_603,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_602,refute_1_538]) ).
cnf(refute_1_604,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_1_603,refute_1_596]) ).
cnf(refute_1_605,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[0],$fot(e11)]]) ).
cnf(refute_1_606,plain,
( op1(e11,e11) != e10
| e11 = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_1_604,refute_1_605]) ).
cnf(refute_1_607,plain,
( e11 = e10
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_595,refute_1_606]) ).
cnf(refute_1_608,plain,
e10 != e11,
inference(canonicalize,[],[normalize_1_176]) ).
cnf(refute_1_609,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_610,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_609,refute_1_608]) ).
cnf(refute_1_611,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_607,refute_1_610]) ).
cnf(refute_1_612,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_1_613,plain,
( e11 != e11
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_611,refute_1_612]) ).
cnf(refute_1_614,plain,
( e11 != e11
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_613,refute_1_583]) ).
cnf(refute_1_615,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_614]) ).
cnf(refute_1_616,plain,
( h4(e10) != op2(e23,e21)
| op1(e10,e11) != e10
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_617,plain,
( h4(e10) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_615,refute_1_616]) ).
cnf(refute_1_618,plain,
( h4(e10) != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_1_617,refute_1_571]) ).
cnf(refute_1_619,plain,
( e23 != op2(e23,e21)
| h4(e10) != e23
| h4(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_620,plain,
( e23 != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_297,refute_1_619]) ).
cnf(refute_1_621,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_1_620,refute_1_618]) ).
cnf(refute_1_622,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_378,refute_1_621]) ).
cnf(refute_1_623,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_622]) ).
cnf(refute_1_624,plain,
( op2(e23,e20) != e22
| e23 = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_623,refute_1_381]) ).
cnf(refute_1_625,plain,
( e23 = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_242,refute_1_624]) ).
cnf(refute_1_626,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_625,refute_1_21]) ).
cnf(refute_1_627,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_1_626,refute_1_568]) ).
cnf(refute_1_628,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_177]) ).
cnf(refute_1_629,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_630,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_629]) ).
cnf(refute_1_631,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_1_630,refute_1_628]) ).
cnf(refute_1_632,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_178]) ).
cnf(refute_1_633,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_1_179]) ).
cnf(refute_1_634,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_633,refute_1_194]) ).
cnf(refute_1_635,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_634,refute_1_168]) ).
cnf(refute_1_636,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_637,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_635,refute_1_636]) ).
cnf(refute_1_638,plain,
( op2(e20,e21) != e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_1_637,refute_1_632]) ).
cnf(refute_1_639,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_180]) ).
cnf(refute_1_640,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_1_199]) ).
cnf(refute_1_641,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_1_201]) ).
cnf(refute_1_642,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_641,refute_1_279]) ).
cnf(refute_1_643,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_1_203]) ).
cnf(refute_1_644,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_645,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_1_646,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_646]) ).
cnf(refute_1_648,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_1_649,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_1_647,refute_1_648]) ).
cnf(refute_1_650,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_1_649,refute_1_643]) ).
cnf(refute_1_651,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_1_652,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_653,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_1_651,refute_1_652]) ).
cnf(refute_1_654,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_653]) ).
cnf(refute_1_655,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_656,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_1_654,refute_1_655]) ).
cnf(refute_1_657,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_1_656,refute_1_650]) ).
cnf(refute_1_658,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_1_204]) ).
cnf(refute_1_659,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_1_660,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_658,refute_1_659]) ).
cnf(refute_1_661,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_660,refute_1_657]) ).
cnf(refute_1_662,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_661]) ).
cnf(refute_1_663,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_1_662,refute_1_642]) ).
cnf(refute_1_664,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_1_640,refute_1_663]) ).
cnf(refute_1_665,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_1_206]) ).
cnf(refute_1_666,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_665,refute_1_228]) ).
cnf(refute_1_667,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_666,refute_1_230]) ).
cnf(refute_1_668,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_1_664,refute_1_667]) ).
cnf(refute_1_669,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_670,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_668,refute_1_669]) ).
cnf(refute_1_671,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_1_670,refute_1_639]) ).
cnf(refute_1_672,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_207]) ).
cnf(refute_1_673,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_1_208]) ).
cnf(refute_1_674,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_1_673,refute_1_663]) ).
cnf(refute_1_675,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_1_674,refute_1_667]) ).
cnf(refute_1_676,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_677,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_675,refute_1_676]) ).
cnf(refute_1_678,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_1_677,refute_1_672]) ).
cnf(refute_1_679,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_1_209]) ).
cnf(refute_1_680,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_681,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_680]) ).
cnf(refute_1_682,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_679,refute_1_681]) ).
cnf(refute_1_683,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_1_682,refute_1_355]) ).
cnf(refute_1_684,plain,
( e23 != e23
| e23 = op2(e23,e21)
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_683,refute_1_377]) ).
cnf(refute_1_685,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_684,refute_1_678]) ).
cnf(refute_1_686,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_685,refute_1_671]) ).
cnf(refute_1_687,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_686]) ).
cnf(refute_1_688,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_689,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_687,refute_1_688]) ).
cnf(refute_1_690,plain,
( h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_1_103,refute_1_689]) ).
cnf(refute_1_691,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_692,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_687,refute_1_691]) ).
cnf(refute_1_693,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_1_103,refute_1_692]) ).
cnf(refute_1_694,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_695,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_687,refute_1_694]) ).
cnf(refute_1_696,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_1_693,refute_1_695]) ).
cnf(refute_1_697,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_1_698,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_247,refute_1_697]) ).
cnf(refute_1_699,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_1_696,refute_1_698]) ).
cnf(refute_1_700,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_1_701,plain,
( h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_1_699,refute_1_700]) ).
cnf(refute_1_702,plain,
( e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) )],[refute_1_690,refute_1_701]) ).
cnf(refute_1_703,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_210]) ).
cnf(refute_1_704,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_211]) ).
cnf(refute_1_705,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_212]) ).
cnf(refute_1_706,plain,
( e12 != op1(e13,e11)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_1_707,plain,
( e12 != op1(e13,e11)
| op1(e12,e11) = op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_584,refute_1_706]) ).
cnf(refute_1_708,plain,
( e12 != op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_1_707,refute_1_705]) ).
cnf(refute_1_709,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_213]) ).
cnf(refute_1_710,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_709,refute_1_589]) ).
cnf(refute_1_711,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_1_710,refute_1_601]) ).
cnf(refute_1_712,plain,
( e12 != e12
| op1(e13,e11) != e12
| e12 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_1_713,plain,
( e12 != e12
| e12 = op1(e13,e11)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_1_711,refute_1_712]) ).
cnf(refute_1_714,plain,
( e12 != e12
| op1(e13,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e11)) )],[refute_1_713,refute_1_708]) ).
cnf(refute_1_715,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_714]) ).
cnf(refute_1_716,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_717,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_715,refute_1_716]) ).
cnf(refute_1_718,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_1_717,refute_1_704]) ).
cnf(refute_1_719,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_214]) ).
cnf(refute_1_720,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_721,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_573,refute_1_720]) ).
cnf(refute_1_722,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_1_721,refute_1_719]) ).
cnf(refute_1_723,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_1_215]) ).
cnf(refute_1_724,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_1_216]) ).
cnf(refute_1_725,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_726,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_725]) ).
cnf(refute_1_727,plain,
( e11 = e12
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_724,refute_1_726]) ).
cnf(refute_1_728,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_727,refute_1_516]) ).
cnf(refute_1_729,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_730,plain,
( op1(e12,e12) != e13
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_1_728,refute_1_729]) ).
cnf(refute_1_731,plain,
( op1(e12,e12) != e13
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_1_730,refute_1_723]) ).
cnf(refute_1_732,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_1_733,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_732]) ).
cnf(refute_1_734,plain,
( e13 != e13
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_733,refute_1_731]) ).
cnf(refute_1_735,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_1_736,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_735,refute_1_734]) ).
cnf(refute_1_737,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_738,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_1_736,refute_1_737]) ).
cnf(refute_1_739,plain,
( e12 != e12
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_1_738,refute_1_722]) ).
cnf(refute_1_740,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_739]) ).
cnf(refute_1_741,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_1_217]) ).
cnf(refute_1_742,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_1_741,refute_1_464]) ).
cnf(refute_1_743,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_1_744,plain,
( op1(e10,e13) != e12
| e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_742,refute_1_743]) ).
cnf(refute_1_745,plain,
( e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_740,refute_1_744]) ).
cnf(refute_1_746,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_745,refute_1_396]) ).
cnf(refute_1_747,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_1_748,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_746,refute_1_747]) ).
cnf(refute_1_749,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_748,refute_1_718]) ).
cnf(refute_1_750,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_735,refute_1_749]) ).
cnf(refute_1_751,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op1(e10,e10) != e13
| h4(e13) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_752,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_750,refute_1_751]) ).
cnf(refute_1_753,plain,
( h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_703,refute_1_752]) ).
cnf(refute_1_754,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),h4(e10))
| e21 = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),h4(e10))) ),[0],$fot(e21)]]) ).
cnf(refute_1_755,plain,
( h4(e13) != op2(h4(e10),h4(e10))
| e21 = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_754]) ).
cnf(refute_1_756,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(op2(h4(e10),h4(e10))))]]) ).
cnf(refute_1_757,plain,
op2(h4(e10),h4(e10)) = h4(op1(e10,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_703,refute_1_756]) ).
cnf(refute_1_758,plain,
( e21 != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| e21 = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e10))) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_759,plain,
( e21 != op2(h4(e10),h4(e10))
| e21 = h4(op1(e10,e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h4(op1(e10,e10))) )],[refute_1_757,refute_1_758]) ).
cnf(refute_1_760,plain,
( h4(e13) != op2(h4(e10),h4(e10))
| e21 = h4(op1(e10,e10)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),h4(e10))) )],[refute_1_755,refute_1_759]) ).
cnf(refute_1_761,plain,
( e21 = h4(op1(e10,e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),h4(e10))) )],[refute_1_753,refute_1_760]) ).
cnf(refute_1_762,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_1_218]) ).
cnf(refute_1_763,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_764,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_763]) ).
cnf(refute_1_765,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_1_764,refute_1_762]) ).
cnf(refute_1_766,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_1_219]) ).
cnf(refute_1_767,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_766,refute_1_75]) ).
cnf(refute_1_768,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_769,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_768]) ).
cnf(refute_1_770,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_767,refute_1_769]) ).
cnf(refute_1_771,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_772,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_771]) ).
cnf(refute_1_773,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_770,refute_1_772]) ).
cnf(refute_1_774,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_775,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_774]) ).
cnf(refute_1_776,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_773,refute_1_775]) ).
cnf(refute_1_777,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_776,refute_1_204]) ).
cnf(refute_1_778,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_779,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_778]) ).
cnf(refute_1_780,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_777,refute_1_779]) ).
cnf(refute_1_781,plain,
e20 != e21,
inference(canonicalize,[],[normalize_1_220]) ).
cnf(refute_1_782,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_783,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_782,refute_1_781]) ).
cnf(refute_1_784,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_780,refute_1_783]) ).
cnf(refute_1_785,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_1_786,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_675,refute_1_785]) ).
cnf(refute_1_787,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_786,refute_1_784]) ).
cnf(refute_1_788,plain,
( h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_787]) ).
cnf(refute_1_789,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_790,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_788,refute_1_789]) ).
cnf(refute_1_791,plain,
( e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_1_702,refute_1_790]) ).
cnf(refute_1_792,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_221]) ).
cnf(refute_1_793,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_794,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_793]) ).
cnf(refute_1_795,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_1_794,refute_1_792]) ).
cnf(refute_1_796,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_1_797,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_796]) ).
cnf(refute_1_798,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_1_797,refute_1_795]) ).
cnf(refute_1_799,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_800,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_799,refute_1_798]) ).
cnf(refute_1_801,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_1_791,refute_1_800]) ).
cnf(refute_1_802,plain,
( e20 != op2(e21,e20)
| h1(e13) != e20
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_803,plain,
( e20 != op2(e21,e20)
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_801,refute_1_802]) ).
cnf(refute_1_804,plain,
( e20 != op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_1_803,refute_1_765]) ).
cnf(refute_1_805,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_1_222]) ).
cnf(refute_1_806,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_805,refute_1_769]) ).
cnf(refute_1_807,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_1_808,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_807]) ).
cnf(refute_1_809,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_806,refute_1_808]) ).
cnf(refute_1_810,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_809,refute_1_564]) ).
cnf(refute_1_811,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_1_812,plain,
( e20 != e20
| e20 = op2(e21,e20)
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_810,refute_1_811]) ).
cnf(refute_1_813,plain,
( e20 != e20
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_1_812,refute_1_804]) ).
cnf(refute_1_814,plain,
( h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_86,refute_1_813]) ).
cnf(refute_1_815,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_816,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_814,refute_1_815]) ).
cnf(refute_1_817,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_703,refute_1_816]) ).
cnf(refute_1_818,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(e20,h4(e10))
| h4(op1(e10,e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_819,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_814,refute_1_818]) ).
cnf(refute_1_820,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) )],[refute_1_817,refute_1_819]) ).
cnf(refute_1_821,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h4(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_1_822,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_821]) ).
cnf(refute_1_823,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = h1(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,e20)) )],[refute_1_820,refute_1_822]) ).
cnf(refute_1_824,plain,
( h1(e13) != e20
| h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_825,plain,
( h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_801,refute_1_824]) ).
cnf(refute_1_826,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) )],[refute_1_823,refute_1_825]) ).
cnf(refute_1_827,plain,
( e21 != h4(op1(e10,e10))
| h4(op1(e10,e10)) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_1_828,plain,
( e21 != h4(op1(e10,e10))
| e21 = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_1_826,refute_1_827]) ).
cnf(refute_1_829,plain,
( e21 = e20
| h2(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e10))) )],[refute_1_761,refute_1_828]) ).
cnf(refute_1_830,plain,
( h2(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_829,refute_1_783]) ).
cnf(refute_1_831,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_830,refute_1_789]) ).
cnf(refute_1_832,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_1_702,refute_1_831]) ).
cnf(refute_1_833,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_1_832,refute_1_800]) ).
cnf(refute_1_834,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_1_224]) ).
cnf(refute_1_835,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_1_836,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_835]) ).
cnf(refute_1_837,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_1_834,refute_1_836]) ).
cnf(refute_1_838,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_225]) ).
cnf(refute_1_839,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_840,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_839]) ).
cnf(refute_1_841,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_1_840,refute_1_838]) ).
cnf(refute_1_842,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_843,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_842]) ).
cnf(refute_1_844,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_1_845,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_844]) ).
cnf(refute_1_846,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_1_845,refute_1_843]) ).
cnf(refute_1_847,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_1_846,refute_1_841]) ).
cnf(refute_1_848,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_1_837,refute_1_847]) ).
cnf(refute_1_849,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_226]) ).
cnf(refute_1_850,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_1_851,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_850]) ).
cnf(refute_1_852,plain,
op2(e21,e20) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_1_851,refute_1_849]) ).
cnf(refute_1_853,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_227]) ).
cnf(refute_1_854,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_1_855,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_854]) ).
cnf(refute_1_856,plain,
op2(e21,e22) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_1_855,refute_1_853]) ).
cnf(refute_1_857,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_1_229]) ).
cnf(refute_1_858,plain,
( e22 != h4(e10)
| op2(e21,e22) != e22
| op2(e21,e22) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_1_859,plain,
( e22 != h4(e10)
| op2(e21,e22) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_857,refute_1_858]) ).
cnf(refute_1_860,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_1_859,refute_1_856]) ).
cnf(refute_1_861,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_1_230]) ).
cnf(refute_1_862,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_1_231]) ).
cnf(refute_1_863,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_862,refute_1_279]) ).
cnf(refute_1_864,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_232]) ).
cnf(refute_1_865,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_866,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_8,refute_1_865]) ).
cnf(refute_1_867,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_1_866,refute_1_864]) ).
cnf(refute_1_868,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_1_869,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_45,refute_1_868]) ).
cnf(refute_1_870,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_1_869,refute_1_867]) ).
cnf(refute_1_871,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_863,refute_1_870]) ).
cnf(refute_1_872,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_1_873,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_1_871,refute_1_872]) ).
cnf(refute_1_874,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_1_873,refute_1_861]) ).
cnf(refute_1_875,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_876,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_875]) ).
cnf(refute_1_877,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_876,refute_1_874]) ).
cnf(refute_1_878,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_877]) ).
cnf(refute_1_879,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_1_233]) ).
cnf(refute_1_880,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_879,refute_1_222]) ).
cnf(refute_1_881,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_1_880,refute_1_225]) ).
cnf(refute_1_882,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_1_883,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_291,refute_1_882]) ).
cnf(refute_1_884,plain,
( e21 = e22
| h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_881,refute_1_883]) ).
cnf(refute_1_885,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_884,refute_1_232]) ).
cnf(refute_1_886,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_1_887,plain,
( op2(e22,e23) != e20
| e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_1_885,refute_1_886]) ).
cnf(refute_1_888,plain,
( e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_878,refute_1_887]) ).
cnf(refute_1_889,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_890,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_889,refute_1_230]) ).
cnf(refute_1_891,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_888,refute_1_890]) ).
cnf(refute_1_892,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_893,plain,
( op2(e20,e23) != e23
| e22 = e23
| h4(e10) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_891,refute_1_892]) ).
cnf(refute_1_894,plain,
( e22 = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_295,refute_1_893]) ).
cnf(refute_1_895,plain,
( h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_894,refute_1_19]) ).
cnf(refute_1_896,plain,
( e22 != e22
| h4(e10) != e22
| e22 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_1_897,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_1_895,refute_1_896]) ).
cnf(refute_1_898,plain,
( e22 != e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_1_897,refute_1_860]) ).
cnf(refute_1_899,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_898]) ).
cnf(refute_1_900,plain,
( h4(e10) != e23
| op2(e21,e20) != e23
| op2(e21,e20) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_1_901,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_899,refute_1_900]) ).
cnf(refute_1_902,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_1_901,refute_1_852]) ).
cnf(refute_1_903,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_1_234]) ).
cnf(refute_1_904,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_903,refute_1_189]) ).
cnf(refute_1_905,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_904,refute_1_333]) ).
cnf(refute_1_906,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_235]) ).
cnf(refute_1_907,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_1_236]) ).
cnf(refute_1_908,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_909,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_907,refute_1_908]) ).
cnf(refute_1_910,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_1_909,refute_1_906]) ).
cnf(refute_1_911,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_1_912,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_1_233,refute_1_911]) ).
cnf(refute_1_913,plain,
( e22 != e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_1_912,refute_1_910]) ).
cnf(refute_1_914,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_913]) ).
cnf(refute_1_915,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_916,plain,
( op2(e23,e20) != e23
| e22 = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_914,refute_1_915]) ).
cnf(refute_1_917,plain,
( e22 = e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_905,refute_1_916]) ).
cnf(refute_1_918,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_917,refute_1_19]) ).
cnf(refute_1_919,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_920,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_918,refute_1_919]) ).
cnf(refute_1_921,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_920,refute_1_902]) ).
cnf(refute_1_922,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_921]) ).
cnf(refute_1_923,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_922,refute_1_206]) ).
cnf(refute_1_924,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_1_923,refute_1_184]) ).
cnf(refute_1_925,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_1_237]) ).
cnf(refute_1_926,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_1_927,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_926]) ).
cnf(refute_1_928,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_925,refute_1_927]) ).
cnf(refute_1_929,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_930,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_929,refute_1_49]) ).
cnf(refute_1_931,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_928,refute_1_930]) ).
cnf(refute_1_932,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_933,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_165,refute_1_932]) ).
cnf(refute_1_934,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_931,refute_1_933]) ).
cnf(refute_1_935,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_934,refute_1_781]) ).
cnf(refute_1_936,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_937,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_935,refute_1_936]) ).
cnf(refute_1_938,plain,
( e21 = e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_857,refute_1_937]) ).
cnf(refute_1_939,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_938,refute_1_232]) ).
cnf(refute_1_940,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_939,refute_1_636]) ).
cnf(refute_1_941,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_1_940,refute_1_632]) ).
cnf(refute_1_942,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_1_238]) ).
cnf(refute_1_943,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_1_944,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_318,refute_1_943]) ).
cnf(refute_1_945,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_1_944,refute_1_942]) ).
cnf(refute_1_946,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_1_947,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_945,refute_1_946]) ).
cnf(refute_1_948,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_947,refute_1_941]) ).
cnf(refute_1_949,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_948]) ).
cnf(refute_1_950,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_951,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_949,refute_1_950]) ).
cnf(refute_1_952,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_1_951,refute_1_271]) ).
cnf(refute_1_953,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_954,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_899,refute_1_953]) ).
cnf(refute_1_955,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_1_954,refute_1_952]) ).
cnf(refute_1_956,plain,
( h4(e10) != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_1_617,refute_1_955]) ).
cnf(refute_1_957,plain,
( e23 != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_899,refute_1_619]) ).
cnf(refute_1_958,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_1_957,refute_1_956]) ).
cnf(refute_1_959,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_378,refute_1_958]) ).
cnf(refute_1_960,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_959]) ).
cnf(refute_1_961,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_960,refute_1_238]) ).
cnf(refute_1_962,plain,
( e23 != e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_1_961,refute_1_924]) ).
cnf(refute_1_963,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_962]) ).
cnf(refute_1_964,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_1_963,refute_1_848]) ).
cnf(refute_1_965,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_1_240]) ).
cnf(refute_1_966,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_1_242]) ).
cnf(refute_1_967,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_1_243]) ).
cnf(refute_1_968,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_1_244]) ).
cnf(refute_1_969,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_968,refute_1_927]) ).
cnf(refute_1_970,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_969,refute_1_930]) ).
cnf(refute_1_971,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_970,refute_1_870]) ).
cnf(refute_1_972,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_971,refute_1_943]) ).
cnf(refute_1_973,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_1_972,refute_1_967]) ).
cnf(refute_1_974,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_975,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_1_973,refute_1_974]) ).
cnf(refute_1_976,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_966,refute_1_975]) ).
cnf(refute_1_977,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_976,refute_1_232]) ).
cnf(refute_1_978,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_1_977,refute_1_965]) ).
cnf(refute_1_979,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_245]) ).
cnf(refute_1_980,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_981,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_565,refute_1_980]) ).
cnf(refute_1_982,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_1_981,refute_1_979]) ).
cnf(refute_1_983,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_1_246]) ).
cnf(refute_1_984,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_985,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_984]) ).
cnf(refute_1_986,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_983,refute_1_985]) ).
cnf(refute_1_987,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_986,refute_1_798]) ).
cnf(refute_1_988,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_989,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_987,refute_1_988]) ).
cnf(refute_1_990,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_989,refute_1_982]) ).
cnf(refute_1_991,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_990]) ).
cnf(refute_1_992,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_991,refute_1_566]) ).
cnf(refute_1_993,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_1_992,refute_1_978]) ).
cnf(refute_1_994,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_964,refute_1_993]) ).
cnf(refute_1_995,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_833,refute_1_994]) ).
cnf(refute_1_996,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_995,refute_1_946]) ).
cnf(refute_1_997,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_996,refute_1_638]) ).
cnf(refute_1_998,plain,
( h1(e13) = e21
| op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_997]) ).
cnf(refute_1_999,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1000,plain,
( h1(e13) != e22
| h1(e13) = e21
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_998,refute_1_999]) ).
cnf(refute_1_1001,plain,
( h1(e13) != e22
| h1(e13) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_1_1000,refute_1_631]) ).
cnf(refute_1_1002,plain,
( h1(e13) != e21
| h1(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_1003,plain,
( h1(e13) != e22
| e22 = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_1001,refute_1_1002]) ).
cnf(refute_1_1004,plain,
( h1(e13) != e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1003,refute_1_369]) ).
cnf(refute_1_1005,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_247]) ).
cnf(refute_1_1006,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_1007,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_1006]) ).
cnf(refute_1_1008,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_1_1007,refute_1_1005]) ).
cnf(refute_1_1009,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1010,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_565,refute_1_1009]) ).
cnf(refute_1_1011,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_1_1010,refute_1_1008]) ).
cnf(refute_1_1012,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_1_248]) ).
cnf(refute_1_1013,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_1012,refute_1_769]) ).
cnf(refute_1_1014,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_1013,refute_1_106]) ).
cnf(refute_1_1015,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_1016,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_1015]) ).
cnf(refute_1_1017,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_1014,refute_1_1016]) ).
cnf(refute_1_1018,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_1017,refute_1_681]) ).
cnf(refute_1_1019,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_1020,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1018,refute_1_1019]) ).
cnf(refute_1_1021,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1020,refute_1_1011]) ).
cnf(refute_1_1022,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_1021]) ).
cnf(refute_1_1023,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_1_1024,plain,
( op2(e21,e21) != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_1022,refute_1_1023]) ).
cnf(refute_1_1025,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_1_1024,refute_1_978]) ).
cnf(refute_1_1026,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1027,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_54,refute_1_1026]) ).
cnf(refute_1_1028,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_1027,refute_1_1025]) ).
cnf(refute_1_1029,plain,
( h2(e13) != e20
| h2(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_1_1030,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_1028,refute_1_1029]) ).
cnf(refute_1_1031,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_1032,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| e22 = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_1030,refute_1_1031]) ).
cnf(refute_1_1033,plain,
( h2(e13) != e22
| h2(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_1034,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_1032,refute_1_1033]) ).
cnf(refute_1_1035,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_1034,refute_1_890]) ).
cnf(refute_1_1036,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1035,refute_1_369]) ).
cnf(refute_1_1037,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_1036,refute_1_19]) ).
cnf(refute_1_1038,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_1_249]) ).
cnf(refute_1_1039,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_1040,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_65,refute_1_1039]) ).
cnf(refute_1_1041,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_1038,refute_1_1040]) ).
cnf(refute_1_1042,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_1041,refute_1_1016]) ).
cnf(refute_1_1043,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_1042,refute_1_17]) ).
cnf(refute_1_1044,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_1043,refute_1_222]) ).
cnf(refute_1_1045,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_1044,refute_1_21]) ).
cnf(refute_1_1046,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_1_1045,refute_1_225]) ).
cnf(refute_1_1047,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1046,refute_1_232]) ).
cnf(refute_1_1048,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_1_1049,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_565,refute_1_1048]) ).
cnf(refute_1_1050,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_1049,refute_1_1047]) ).
cnf(refute_1_1051,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_1050]) ).
cnf(refute_1_1052,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_1051,refute_1_566]) ).
cnf(refute_1_1053,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_1_1052,refute_1_978]) ).
cnf(refute_1_1054,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_964,refute_1_1053]) ).
cnf(refute_1_1055,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_833,refute_1_1054]) ).
cnf(refute_1_1056,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1055,refute_1_1019]) ).
cnf(refute_1_1057,plain,
( e22 != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1056,refute_1_1037]) ).
cnf(refute_1_1058,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_1057]) ).
cnf(refute_1_1059,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_964,refute_1_1058]) ).
cnf(refute_1_1060,plain,
( h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_833,refute_1_1059]) ).
cnf(refute_1_1061,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_1062,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_1060,refute_1_1061]) ).
cnf(refute_1_1063,plain,
( e22 != e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_1062,refute_1_1004]) ).
cnf(refute_1_1064,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_1063]) ).
cnf(refute_1_1065,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_1_1064,refute_1_627]) ).
cnf(refute_1_1066,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1067,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_1065,refute_1_1066]) ).
cnf(refute_1_1068,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_1_1067,refute_1_0]) ).
cnf(refute_1_1069,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_1_626,refute_1_180]) ).
cnf(refute_1_1070,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_1_1064,refute_1_1069]) ).
cnf(refute_1_1071,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_1_1072,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_1070,refute_1_1071]) ).
cnf(refute_1_1073,plain,
( e21 != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_1072,refute_1_1068]) ).
cnf(refute_1_1074,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_1073]) ).
cnf(refute_1_1075,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_1_1074,refute_1_551]) ).
cnf(refute_1_1076,plain,
( ~ definitionFOFtoCNF_8
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_1_1075,refute_1_545]) ).
cnf(refute_1_1077,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_1_250]) ).
cnf(refute_1_1078,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_1_262]) ).
cnf(refute_1_1079,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_1_264]) ).
cnf(refute_1_1080,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_265]) ).
cnf(refute_1_1081,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_1082,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_1081]) ).
cnf(refute_1_1083,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_1_1082,refute_1_1080]) ).
cnf(refute_1_1084,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_1_1085,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_1_1084,refute_1_1083]) ).
cnf(refute_1_1086,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_1079,refute_1_1085]) ).
cnf(refute_1_1087,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_1_267]) ).
cnf(refute_1_1088,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_1_268]) ).
cnf(refute_1_1089,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_1090,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_1088,refute_1_1089]) ).
cnf(refute_1_1091,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_1_1090,refute_1_1087]) ).
cnf(refute_1_1092,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_1093,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_1092]) ).
cnf(refute_1_1094,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_1093,refute_1_1091]) ).
cnf(refute_1_1095,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1094]) ).
cnf(refute_1_1096,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_1_1095,refute_1_1086]) ).
cnf(refute_1_1097,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_1_1078,refute_1_1096]) ).
cnf(refute_1_1098,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_1_270]) ).
cnf(refute_1_1099,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_1100,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_1099]) ).
cnf(refute_1_1101,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_1_1098,refute_1_1100]) ).
cnf(refute_1_1102,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_1101,refute_1_594]) ).
cnf(refute_1_1103,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_1_1097,refute_1_1102]) ).
cnf(refute_1_1104,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_1_271]) ).
cnf(refute_1_1105,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_1104,refute_1_450]) ).
cnf(refute_1_1106,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_1107,plain,
( op1(e10,e13) != e13
| e10 = e13
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_1_1105,refute_1_1106]) ).
cnf(refute_1_1108,plain,
( e10 = e13
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_1103,refute_1_1107]) ).
cnf(refute_1_1109,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_272]) ).
cnf(refute_1_1110,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_1_1111,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_1110]) ).
cnf(refute_1_1112,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_1_1111,refute_1_1109]) ).
cnf(refute_1_1113,plain,
( e13 != e10
| op1(e13,e12) != e10
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1114,plain,
( e13 != e10
| e13 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_1113]) ).
cnf(refute_1_1115,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_1_1114,refute_1_1112]) ).
cnf(refute_1_1116,plain,
( e10 != e13
| e13 = e10 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e10)),bind(Y,$fot(e13))]]) ).
cnf(refute_1_1117,plain,
e10 != e13,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_1116,refute_1_1115]) ).
cnf(refute_1_1118,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_1108,refute_1_1117]) ).
cnf(refute_1_1119,plain,
( e10 != op1(e11,e11)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_1_1120,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_1118,refute_1_1119]) ).
cnf(refute_1_1121,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_1_1120,refute_1_1077]) ).
cnf(refute_1_1122,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_1_273]) ).
cnf(refute_1_1123,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_1_1124,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_1123]) ).
cnf(refute_1_1125,plain,
( op1(e13,e10) != e13
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_1122,refute_1_1124]) ).
cnf(refute_1_1126,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_1125,refute_1_1115]) ).
cnf(refute_1_1127,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_1_1128,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_1127]) ).
cnf(refute_1_1129,plain,
( op1(e13,e10) != e13
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_1126,refute_1_1128]) ).
cnf(refute_1_1130,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_1129,refute_1_610]) ).
cnf(refute_1_1131,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_1_274]) ).
cnf(refute_1_1132,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_1_1131,refute_1_1096]) ).
cnf(refute_1_1133,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_1_1132,refute_1_1102]) ).
cnf(refute_1_1134,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_1135,plain,
( e13 != e13
| op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_1133,refute_1_1134]) ).
cnf(refute_1_1136,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_1135,refute_1_1130]) ).
cnf(refute_1_1137,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_735,refute_1_1136]) ).
cnf(refute_1_1138,plain,
( e10 != e10
| op1(e11,e11) != e10
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1139,plain,
( e10 != e10
| e10 = op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_1137,refute_1_1138]) ).
cnf(refute_1_1140,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_1_1139,refute_1_1121]) ).
cnf(refute_1_1141,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_1_1142,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_1141,refute_1_1140]) ).
cnf(refute_1_1143,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_1144,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_480,refute_1_1143]) ).
cnf(refute_1_1145,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_1144,refute_1_459]) ).
cnf(refute_1_1146,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_275]) ).
cnf(refute_1_1147,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_276]) ).
cnf(refute_1_1148,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_1_1149,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_1133,refute_1_1148]) ).
cnf(refute_1_1150,plain,
( e13 != op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_1_1149,refute_1_1147]) ).
cnf(refute_1_1151,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_1152,plain,
( e13 != e13
| e13 = op1(e13,e11)
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_711,refute_1_1151]) ).
cnf(refute_1_1153,plain,
( e13 != e13
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_1_1152,refute_1_1150]) ).
cnf(refute_1_1154,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_735,refute_1_1153]) ).
cnf(refute_1_1155,plain,
( op1(e11,e11) != e12
| op1(e13,e11) != e12
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1156,plain,
( op1(e11,e11) != e12
| op1(e11,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_1_1154,refute_1_1155]) ).
cnf(refute_1_1157,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_1_1156,refute_1_1146]) ).
cnf(refute_1_1158,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_1_277]) ).
cnf(refute_1_1159,plain,
( op1(e11,e12) != e11
| e13 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_1_1158,refute_1_392]) ).
cnf(refute_1_1160,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_1159,refute_1_396]) ).
cnf(refute_1_1161,plain,
( op1(e11,e12) != e11
| e11 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_1160,refute_1_726]) ).
cnf(refute_1_1162,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_1161,refute_1_516]) ).
cnf(refute_1_1163,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_466,refute_1_495]) ).
cnf(refute_1_1164,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_1163,refute_1_459]) ).
cnf(refute_1_1165,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_1_499,refute_1_1164]) ).
cnf(refute_1_1166,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1165]) ).
cnf(refute_1_1167,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_1168,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_1166,refute_1_1167]) ).
cnf(refute_1_1169,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_1168,refute_1_1162]) ).
cnf(refute_1_1170,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1169]) ).
cnf(refute_1_1171,plain,
( e12 != e12
| op1(e11,e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_1_1172,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_1_1170,refute_1_1171]) ).
cnf(refute_1_1173,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_1_1172,refute_1_1157]) ).
cnf(refute_1_1174,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1173]) ).
cnf(refute_1_1175,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_1176,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1174,refute_1_1175]) ).
cnf(refute_1_1177,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1176,refute_1_1145]) ).
cnf(refute_1_1178,plain,
( op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1177]) ).
cnf(refute_1_1179,plain,
( op1(e11,e10) != e12
| op1(e11,e12) != e12
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1180,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1178,refute_1_1179]) ).
cnf(refute_1_1181,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_1_1180,refute_1_493]) ).
cnf(refute_1_1182,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_278]) ).
cnf(refute_1_1183,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_1_279]) ).
cnf(refute_1_1184,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_280]) ).
cnf(refute_1_1185,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_1186,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_390,refute_1_1185]) ).
cnf(refute_1_1187,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_1_1186,refute_1_1184]) ).
cnf(refute_1_1188,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_1_1183,refute_1_1187]) ).
cnf(refute_1_1189,plain,
( op1(e10,e10) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1190,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_1188,refute_1_1189]) ).
cnf(refute_1_1191,plain,
( op1(e10,e10) != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_1_1190,refute_1_492]) ).
cnf(refute_1_1192,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_1140,refute_1_1191]) ).
cnf(refute_1_1193,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_1141,refute_1_1192]) ).
cnf(refute_1_1194,plain,
( e12 != op1(e12,e13)
| op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_1195,plain,
( e12 != op1(e12,e13)
| op1(e12,e10) = e11
| op1(e12,e10) = op1(e12,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_1_1193,refute_1_1194]) ).
cnf(refute_1_1196,plain,
( e12 != op1(e12,e13)
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_1_1195,refute_1_1182]) ).
cnf(refute_1_1197,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_281]) ).
cnf(refute_1_1198,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_1_282]) ).
cnf(refute_1_1199,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_1198,refute_1_1085]) ).
cnf(refute_1_1200,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_1199,refute_1_536]) ).
cnf(refute_1_1201,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1202,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_1200,refute_1_1201]) ).
cnf(refute_1_1203,plain,
( op1(e11,e13) != e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_1_1202,refute_1_1197]) ).
cnf(refute_1_1204,plain,
( e12 != op1(e11,e13)
| op1(e10,e10) = e12
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1178,refute_1_720]) ).
cnf(refute_1_1205,plain,
( e12 != op1(e11,e13)
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_1_1204,refute_1_719]) ).
cnf(refute_1_1206,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_283]) ).
cnf(refute_1_1207,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_1208,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_1103,refute_1_1207]) ).
cnf(refute_1_1209,plain,
( e13 != op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_1_1208,refute_1_1206]) ).
cnf(refute_1_1210,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_1_284]) ).
cnf(refute_1_1211,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_1_1210,refute_1_550]) ).
cnf(refute_1_1212,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_1_1213,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_1211,refute_1_1212]) ).
cnf(refute_1_1214,plain,
( e13 != e13
| op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_1_1213,refute_1_1209]) ).
cnf(refute_1_1215,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_735,refute_1_1214]) ).
cnf(refute_1_1216,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_1_1215,refute_1_737]) ).
cnf(refute_1_1217,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_1_1216,refute_1_1205]) ).
cnf(refute_1_1218,plain,
( op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1217]) ).
cnf(refute_1_1219,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_1_1220,plain,
( e10 != e10
| op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_1218,refute_1_1219]) ).
cnf(refute_1_1221,plain,
( e10 != e10
| op1(e10,e10) = e12
| op1(e12,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_1220,refute_1_1203]) ).
cnf(refute_1_1222,plain,
( op1(e10,e10) = e12
| op1(e12,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_1141,refute_1_1221]) ).
cnf(refute_1_1223,plain,
( e12 != e12
| op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1224,plain,
( e12 != e12
| e12 = op1(e12,e13)
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_1_1222,refute_1_1223]) ).
cnf(refute_1_1225,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_1_1224,refute_1_1196]) ).
cnf(refute_1_1226,plain,
( op1(e10,e10) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1225]) ).
cnf(refute_1_1227,plain,
( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_1_285]) ).
cnf(refute_1_1228,plain,
( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_1_1227,refute_1_1096]) ).
cnf(refute_1_1229,plain,
( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_1_1228,refute_1_1102]) ).
cnf(refute_1_1230,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(canonicalize,[],[normalize_1_286]) ).
cnf(refute_1_1231,plain,
( op1(e13,e10) != e12
| op1(e13,e12) != e10
| op1(e13,op1(e13,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e10)),e10) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_1232,plain,
( op1(e13,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,op1(e13,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_1230,refute_1_1231]) ).
cnf(refute_1_1233,plain,
( op1(e13,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e10)),e10) )],[refute_1_1232,refute_1_1229]) ).
cnf(refute_1_1234,plain,
( e10 != e10
| op1(e13,e12) != e10
| op1(e13,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e10) ),[1],$fot(e10)]]) ).
cnf(refute_1_1235,plain,
( e10 != e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_447,refute_1_1234]) ).
cnf(refute_1_1236,plain,
( e10 != e10
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_1235,refute_1_1233]) ).
cnf(refute_1_1237,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_1141,refute_1_1236]) ).
cnf(refute_1_1238,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_1_1239,plain,
( op1(e12,e10) != e11
| e12 = e11
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_1_1237,refute_1_1238]) ).
cnf(refute_1_1240,plain,
( e12 = e11
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_1_1226,refute_1_1239]) ).
cnf(refute_1_1241,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_1_1242,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_1241,refute_1_516]) ).
cnf(refute_1_1243,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_1_1240,refute_1_1242]) ).
cnf(refute_1_1244,plain,
( e12 != e12
| op1(e11,e10) != e12
| op1(e11,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_1_1245,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_1_1243,refute_1_1244]) ).
cnf(refute_1_1246,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_1_1245,refute_1_1181]) ).
cnf(refute_1_1247,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1246]) ).
cnf(refute_1_1248,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_1_1249,plain,
( op1(e10,e10) != e10
| e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_1247,refute_1_1248]) ).
cnf(refute_1_1250,plain,
( e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_1142,refute_1_1249]) ).
cnf(refute_1_1251,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_1252,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_1251,refute_1_594]) ).
cnf(refute_1_1253,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_1_1250,refute_1_1252]) ).
cnf(refute_1_1254,plain,
( op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_1_1253,refute_1_1076]) ).
cnf(refute_1_1255,plain,
( op1(e10,e11) != e11
| op1(e12,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_1_1256,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_1254,refute_1_1255]) ).
cnf(refute_1_1257,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_1_1256,refute_1_490]) ).
cnf(refute_1_1258,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_1_287]) ).
cnf(refute_1_1259,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_288]) ).
cnf(refute_1_1260,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_1261,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_415,refute_1_1260]) ).
cnf(refute_1_1262,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_1_1261,refute_1_1259]) ).
cnf(refute_1_1263,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_1258,refute_1_1262]) ).
cnf(refute_1_1264,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1263,refute_1_1175]) ).
cnf(refute_1_1265,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1264,refute_1_1145]) ).
cnf(refute_1_1266,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1265]) ).
cnf(refute_1_1267,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1266,refute_1_574]) ).
cnf(refute_1_1268,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_1267,refute_1_459]) ).
cnf(refute_1_1269,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_1_289]) ).
cnf(refute_1_1270,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_1_544,refute_1_1269]) ).
cnf(refute_1_1271,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_1_487,refute_1_1270]) ).
cnf(refute_1_1272,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_1_1075,refute_1_1271]) ).
cnf(refute_1_1273,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_1_1253,refute_1_1272]) ).
cnf(refute_1_1274,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1273,refute_1_577]) ).
cnf(refute_1_1275,plain,
( e12 != e12
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1274,refute_1_1268]) ).
cnf(refute_1_1276,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1275]) ).
cnf(refute_1_1277,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_1276,refute_1_612]) ).
cnf(refute_1_1278,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_1277,refute_1_1257]) ).
cnf(refute_1_1279,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1278]) ).
cnf(refute_1_1280,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_1_290]) ).
cnf(refute_1_1281,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_1_544,refute_1_1280]) ).
cnf(refute_1_1282,plain,
( ~ definitionFOFtoCNF_8
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_1_1075,refute_1_1281]) ).
cnf(refute_1_1283,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_1_1253,refute_1_1282]) ).
cnf(refute_1_1284,plain,
( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_1_1285,plain,
( op1(e11,e11) != e12
| op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_1283,refute_1_1284]) ).
cnf(refute_1_1286,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_1_1285,refute_1_1270]) ).
cnf(refute_1_1287,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_1_1253,refute_1_1286]) ).
cnf(refute_1_1288,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_1_1075,refute_1_1287]) ).
cnf(refute_1_1289,plain,
( e11 != e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_480,refute_1_1167]) ).
cnf(refute_1_1290,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_1289,refute_1_1162]) ).
cnf(refute_1_1291,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1290]) ).
cnf(refute_1_1292,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e12
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1291,refute_1_574]) ).
cnf(refute_1_1293,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_1292,refute_1_459]) ).
cnf(refute_1_1294,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1274,refute_1_1293]) ).
cnf(refute_1_1295,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_1_1294,refute_1_1288]) ).
cnf(refute_1_1296,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_501,refute_1_1295]) ).
cnf(refute_1_1297,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_1_1298,plain,
( op1(e10,e10) != e11
| e12 = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_1296,refute_1_1297]) ).
cnf(refute_1_1299,plain,
( e12 = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_1279,refute_1_1298]) ).
cnf(refute_1_1300,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_1_1299,refute_1_1242]) ).
cnf(refute_1_1301,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1300,refute_1_489]) ).
cnf(refute_1_1302,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_1166,refute_1_503]) ).
cnf(refute_1_1303,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_1_1302,refute_1_493]) ).
cnf(refute_1_1304,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_1_291]) ).
cnf(refute_1_1305,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_433,refute_1_1304]) ).
cnf(refute_1_1306,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_457,refute_1_1305]) ).
cnf(refute_1_1307,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_384,refute_1_1306]) ).
cnf(refute_1_1308,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1300,refute_1_1307]) ).
cnf(refute_1_1309,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1308,refute_1_518]) ).
cnf(refute_1_1310,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1309,refute_1_1303]) ).
cnf(refute_1_1311,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1310]) ).
cnf(refute_1_1312,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_1313,plain,
( op1(e10,e12) != e12
| e11 = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1311,refute_1_1312]) ).
cnf(refute_1_1314,plain,
( e11 = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1301,refute_1_1313]) ).
cnf(refute_1_1315,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_1314,refute_1_516]) ).
cnf(refute_1_1316,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_1_1315,refute_1_180]) ).
cnf(refute_1_1317,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_1318,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_635,refute_1_1317]) ).
cnf(refute_1_1319,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_1_1318,refute_1_979]) ).
cnf(refute_1_1320,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1321,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_565,refute_1_1320]) ).
cnf(refute_1_1322,plain,
( e21 != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_1_1321,refute_1_1319]) ).
cnf(refute_1_1323,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_1322]) ).
cnf(refute_1_1324,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_1323,refute_1_566]) ).
cnf(refute_1_1325,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_1_1324,refute_1_978]) ).
cnf(refute_1_1326,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_949,refute_1_128]) ).
cnf(refute_1_1327,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_1_122,refute_1_1326]) ).
cnf(refute_1_1328,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_1_1327,refute_1_132]) ).
cnf(refute_1_1329,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_1_1328,refute_1_134]) ).
cnf(refute_1_1330,plain,
( h2(e13) != h2(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_1_1331,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_1_1329,refute_1_1330]) ).
cnf(refute_1_1332,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_1_1331,refute_1_271]) ).
cnf(refute_1_1333,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_1334,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_899,refute_1_1333]) ).
cnf(refute_1_1335,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) )],[refute_1_1334,refute_1_1332]) ).
cnf(refute_1_1336,plain,
( h4(e10) != op2(e23,h2(e10))
| op1(e10,e11) != e10
| h4(op1(e10,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_1337,plain,
( h4(e10) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_301,refute_1_1336]) ).
cnf(refute_1_1338,plain,
( h4(e10) != op2(e23,h2(e10))
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) )],[refute_1_1337,refute_1_1335]) ).
cnf(refute_1_1339,plain,
( e23 != op2(e23,h2(e10))
| h4(e10) != e23
| h4(e10) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(op2(e23,h2(e10)))]]) ).
cnf(refute_1_1340,plain,
( e23 != op2(e23,h2(e10))
| h4(e10) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_899,refute_1_1339]) ).
cnf(refute_1_1341,plain,
( e23 != op2(e23,h2(e10))
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,h2(e10))) )],[refute_1_1340,refute_1_1338]) ).
cnf(refute_1_1342,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_1_1329,refute_1_136]) ).
cnf(refute_1_1343,plain,
( h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_949,refute_1_1342]) ).
cnf(refute_1_1344,plain,
( e23 != op2(e23,e21)
| h2(e10) != e21
| e23 = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,h2(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_1345,plain,
( e23 != op2(e23,e21)
| e23 = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_1_1343,refute_1_1344]) ).
cnf(refute_1_1346,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h2(e10))) )],[refute_1_1345,refute_1_1341]) ).
cnf(refute_1_1347,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_378,refute_1_1346]) ).
cnf(refute_1_1348,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_1347]) ).
cnf(refute_1_1349,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_1348,refute_1_238]) ).
cnf(refute_1_1350,plain,
( e23 != e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_1_1349,refute_1_924]) ).
cnf(refute_1_1351,plain,
( definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_1350]) ).
cnf(refute_1_1352,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_1351,refute_1_488]) ).
cnf(refute_1_1353,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1300,refute_1_1352]) ).
cnf(refute_1_1354,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_1351,refute_1_1306]) ).
cnf(refute_1_1355,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1300,refute_1_1354]) ).
cnf(refute_1_1356,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1355,refute_1_518]) ).
cnf(refute_1_1357,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1356,refute_1_1303]) ).
cnf(refute_1_1358,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_484,refute_1_1357]) ).
cnf(refute_1_1359,plain,
( op1(e10,e12) != e12
| e11 = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_1358,refute_1_1312]) ).
cnf(refute_1_1360,plain,
( e11 = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1353,refute_1_1359]) ).
cnf(refute_1_1361,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_1360,refute_1_516]) ).
cnf(refute_1_1362,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_1_1361,refute_1_848]) ).
cnf(refute_1_1363,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_1362,refute_1_1325]) ).
cnf(refute_1_1364,plain,
( h2(e13) != e23
| h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_1365,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_687,refute_1_1364]) ).
cnf(refute_1_1366,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_1_1365,refute_1_271]) ).
cnf(refute_1_1367,plain,
( h4(e10) != e20
| h4(op1(e10,e11)) != op2(e20,e23)
| h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_1368,plain,
( h4(op1(e10,e11)) != op2(e20,e23)
| h2(e13) = e20
| h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_814,refute_1_1367]) ).
cnf(refute_1_1369,plain,
( h4(op1(e10,e11)) != op2(e20,e23)
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) )],[refute_1_1368,refute_1_1366]) ).
cnf(refute_1_1370,plain,
( h4(op1(e10,e11)) != e23
| op2(e20,e23) != e23
| h4(op1(e10,e11)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1371,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_668,refute_1_1370]) ).
cnf(refute_1_1372,plain,
( h4(op1(e10,e11)) != e23
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e23)) )],[refute_1_1371,refute_1_1369]) ).
cnf(refute_1_1373,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 ),
inference(canonicalize,[],[normalize_1_292]) ).
cnf(refute_1_1374,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_433,refute_1_1373]) ).
cnf(refute_1_1375,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_457,refute_1_1374]) ).
cnf(refute_1_1376,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_1_293]) ).
cnf(refute_1_1377,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e10,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_1378,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_742,refute_1_1377]) ).
cnf(refute_1_1379,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_1_1378,refute_1_1376]) ).
cnf(refute_1_1380,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_1_1381,plain,
( op1(e10,e11) != e10
| e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_1379,refute_1_1380]) ).
cnf(refute_1_1382,plain,
( e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_301,refute_1_1381]) ).
cnf(refute_1_1383,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_1382,refute_1_1115]) ).
cnf(refute_1_1384,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_1383,refute_1_751]) ).
cnf(refute_1_1385,plain,
( h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_703,refute_1_1384]) ).
cnf(refute_1_1386,plain,
( e21 = h4(op1(e10,e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),h4(e10))) )],[refute_1_1385,refute_1_760]) ).
cnf(refute_1_1387,plain,
( e21 = e20
| h2(e13) = e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e10))) )],[refute_1_1386,refute_1_828]) ).
cnf(refute_1_1388,plain,
( h2(e13) = e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_1387,refute_1_783]) ).
cnf(refute_1_1389,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_1388,refute_1_789]) ).
cnf(refute_1_1390,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_1_702,refute_1_1389]) ).
cnf(refute_1_1391,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_1_1390,refute_1_800]) ).
cnf(refute_1_1392,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e11) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_1_1391,refute_1_1375]) ).
cnf(refute_1_1393,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1300,refute_1_1392]) ).
cnf(refute_1_1394,plain,
( h4(e11) != e23
| op1(e10,e11) != e11
| h4(op1(e10,e11)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),e23) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_1395,plain,
( h4(e11) != e23
| h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_1393,refute_1_1394]) ).
cnf(refute_1_1396,plain,
( h4(e11) != e23
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_1_1395,refute_1_1372]) ).
cnf(refute_1_1397,plain,
( h2(e13) != e23
| h4(e11) != h2(e13)
| h4(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1398,plain,
( h2(e13) != e23
| h4(e11) = e23 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_1_264,refute_1_1397]) ).
cnf(refute_1_1399,plain,
( h2(e13) != e23
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e23) )],[refute_1_1398,refute_1_1396]) ).
cnf(refute_1_1400,plain,
( h2(e13) != e20
| h2(e13) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_1401,plain,
( h2(e13) != e23
| e23 = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_1399,refute_1_1400]) ).
cnf(refute_1_1402,plain,
( h2(e13) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_1401,refute_1_204]) ).
cnf(refute_1_1403,plain,
( e23 != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_686,refute_1_1402]) ).
cnf(refute_1_1404,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_241,refute_1_1403]) ).
cnf(refute_1_1405,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_1404,refute_1_1363]) ).
cnf(refute_1_1406,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_1405,refute_1_999]) ).
cnf(refute_1_1407,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_1_1406,refute_1_631]) ).
cnf(refute_1_1408,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_1404,refute_1_1037]) ).
cnf(refute_1_1409,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_1362,refute_1_1408]) ).
cnf(refute_1_1410,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_1_1362,refute_1_1053]) ).
cnf(refute_1_1411,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_1_1404,refute_1_1410]) ).
cnf(refute_1_1412,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1411,refute_1_1019]) ).
cnf(refute_1_1413,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1412,refute_1_1409]) ).
cnf(refute_1_1414,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_1413,refute_1_1407]) ).
cnf(refute_1_1415,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_342,refute_1_1414]) ).
cnf(refute_1_1416,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_1_1415,refute_1_1316]) ).
cnf(refute_1_1417,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_1418,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_1416,refute_1_1417]) ).
cnf(refute_1_1419,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_1_1315,refute_1_568]) ).
cnf(refute_1_1420,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_1_1415,refute_1_1419]) ).
cnf(refute_1_1421,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_1420,refute_1_1320]) ).
cnf(refute_1_1422,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_1_1421,refute_1_1418]) ).
cnf(refute_1_1423,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_1_1422,refute_1_0]) ).
cnf(refute_1_1424,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_150,refute_1_1423]) ).
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,
( 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_2_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_2_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_2_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_2_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_2_4,normalize_2_5]) ).
fof(normalize_2_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_2_3,normalize_2_6,normalize_2_5]) ).
fof(normalize_2_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_2_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_2_7,normalize_2_8]) ).
fof(normalize_2_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_2,normalize_2_9,normalize_2_6,normalize_2_5,normalize_2_8]) ).
fof(normalize_2_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_2_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_2_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_2_11,normalize_2_12]) ).
fof(normalize_2_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_10,normalize_2_13,normalize_2_12]) ).
fof(normalize_2_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_2_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_14,normalize_2_15]) ).
fof(normalize_2_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_9]) ).
fof(normalize_2_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_8]) ).
fof(normalize_2_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_2_23]) ).
fof(normalize_2_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_2_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_2_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_6]) ).
fof(normalize_2_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_2_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_2_33]) ).
fof(normalize_2_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_5]) ).
fof(normalize_2_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_2_35]) ).
fof(normalize_2_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_2_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_2_35]) ).
fof(normalize_2_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_2_33]) ).
fof(normalize_2_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_2_33]) ).
fof(normalize_2_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_13]) ).
fof(normalize_2_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_2_43]) ).
fof(normalize_2_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_12]) ).
fof(normalize_2_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_2_45]) ).
fof(normalize_2_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_50,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_51,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_52,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_53,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_54,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_55,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_2_33]) ).
fof(normalize_2_56,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_2_57,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_2_56]) ).
fof(normalize_2_58,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_53,normalize_2_54,normalize_2_55,normalize_2_57]) ).
fof(normalize_2_59,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_60,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_61,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_62,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_63,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_64,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_2_65,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_2_64]) ).
fof(normalize_2_66,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_67,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_2_64]) ).
fof(normalize_2_68,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_69,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_15]) ).
fof(normalize_2_70,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_2_69]) ).
fof(normalize_2_71,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_72,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_73,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_74,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_75,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_2_69]) ).
fof(normalize_2_76,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_77,plain,
( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_2_69]) ).
fof(normalize_2_78,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_2_79,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_80,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_81,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_82,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_83,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_84,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_85,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_86,plain,
e21 != e22,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_87,plain,
e20 != e21,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_88,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_89,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_90,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_91,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_92,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_2_64]) ).
fof(normalize_2_93,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_2_94,plain,
e11 != e12,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_95,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_96,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_97,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_98,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_2_99,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_98]) ).
fof(normalize_2_100,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_2_99]) ).
fof(normalize_2_101,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_2_102,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_2_103,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_2_104,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_2_105,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_2_103,normalize_2_104]) ).
fof(normalize_2_106,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_2_102,normalize_2_105,normalize_2_104]) ).
fof(normalize_2_107,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_2_108,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_2_106,normalize_2_107]) ).
fof(normalize_2_109,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_101,normalize_2_108,normalize_2_105,normalize_2_104,normalize_2_107]) ).
fof(normalize_2_110,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_2_111,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_2_112,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_2_110,normalize_2_111]) ).
fof(normalize_2_113,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_109,normalize_2_112,normalize_2_111]) ).
fof(normalize_2_114,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_113,normalize_2_98]) ).
fof(normalize_2_115,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_2_114]) ).
fof(normalize_2_116,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_2_115]) ).
fof(normalize_2_117,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_108]) ).
fof(normalize_2_118,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_2_117]) ).
fof(normalize_2_119,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_107]) ).
fof(normalize_2_120,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_119]) ).
fof(normalize_2_121,plain,
e12 != e13,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_122,plain,
e11 != e13,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_123,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_105]) ).
fof(normalize_2_124,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_123]) ).
fof(normalize_2_125,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_104]) ).
fof(normalize_2_126,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_2_125]) ).
fof(normalize_2_127,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_2_125]) ).
fof(normalize_2_128,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_123]) ).
fof(normalize_2_129,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_112]) ).
fof(normalize_2_130,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_2_129]) ).
fof(normalize_2_131,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_111]) ).
fof(normalize_2_132,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_2_131]) ).
fof(normalize_2_133,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_134,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_135,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_136,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_137,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_138,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_139,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_140,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_2_141,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_2_140]) ).
fof(normalize_2_142,plain,
e10 != e13,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_143,plain,
e10 != e11,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_144,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_145,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_146,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_147,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_148,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_149,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_150,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_2_151,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_2_152,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_2_153,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_2_151,normalize_2_152]) ).
fof(normalize_2_154,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_150,normalize_2_153,normalize_2_152]) ).
fof(normalize_2_155,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_2_156,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_154,normalize_2_155]) ).
fof(normalize_2_157,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_2_156]) ).
fof(normalize_2_158,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_2_157]) ).
fof(normalize_2_159,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_155]) ).
fof(normalize_2_160,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_2_159]) ).
fof(normalize_2_161,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_2_159]) ).
fof(normalize_2_162,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_163,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_164,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_165,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_93]) ).
fof(normalize_2_166,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_153]) ).
fof(normalize_2_167,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_2_166]) ).
fof(normalize_2_168,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_169,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_152]) ).
fof(normalize_2_170,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_2_169]) ).
fof(normalize_2_171,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_2_172,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_2_173,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_2_171,normalize_2_172]) ).
fof(normalize_2_174,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_173]) ).
fof(normalize_2_175,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_2_174]) ).
fof(normalize_2_176,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_177,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_172]) ).
fof(normalize_2_178,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_2_177]) ).
fof(normalize_2_179,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_180,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_181,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_2_177]) ).
fof(normalize_2_182,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_183,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_2_177]) ).
fof(normalize_2_184,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_185,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_186,plain,
e20 != e22,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_187,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_2_188,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_187,normalize_2_173,normalize_2_172]) ).
fof(normalize_2_189,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_2_190,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_188,normalize_2_189]) ).
fof(normalize_2_191,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_2_190]) ).
fof(normalize_2_192,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_2_191]) ).
fof(normalize_2_193,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_189]) ).
fof(normalize_2_194,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_2_193]) ).
fof(normalize_2_195,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_2_193]) ).
fof(normalize_2_196,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_197,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_198,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_199,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_2_200,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_2_199]) ).
fof(normalize_2_201,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_202,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_203,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_2_191]) ).
fof(normalize_2_204,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_205,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_2_199]) ).
fof(normalize_2_206,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_2_205,normalize_2_16,normalize_2_13,normalize_2_9,normalize_2_6,normalize_2_5,normalize_2_8,normalize_2_15,normalize_2_12]) ).
fof(normalize_2_207,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_2_206,normalize_2_190,normalize_2_173,normalize_2_189,normalize_2_172]) ).
fof(normalize_2_208,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_2_209,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_2_210,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_2_208,normalize_2_209]) ).
fof(normalize_2_211,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_2_207,normalize_2_210,normalize_2_209]) ).
fof(normalize_2_212,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_2_213,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_2_211,normalize_2_212]) ).
fof(normalize_2_214,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_2_213]) ).
fof(normalize_2_215,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_2_214]) ).
fof(normalize_2_216,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_2_210]) ).
fof(normalize_2_217,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_2_216]) ).
fof(normalize_2_218,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_2_209]) ).
fof(normalize_2_219,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_2_218]) ).
fof(normalize_2_220,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_2_218]) ).
fof(normalize_2_221,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_2_212]) ).
fof(normalize_2_222,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_2_221]) ).
fof(normalize_2_223,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_2_214]) ).
fof(normalize_2_224,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_225,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_226,plain,
op1(e11,e10) != op1(e11,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_227,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_228,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_2_169]) ).
fof(normalize_2_229,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_230,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_2_169]) ).
fof(normalize_2_231,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_232,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_233,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_234,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_235,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_236,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_237,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_238,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_239,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_240,plain,
e20 != e23,
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_241,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_242,plain,
op1(e10,e10) != op1(e11,e10),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_243,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_244,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_245,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_246,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_247,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_248,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_249,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_250,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_251,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_2_199]) ).
fof(normalize_2_252,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_2_214]) ).
fof(normalize_2_253,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_254,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_255,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_256,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_257,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_258,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_259,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_260,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_2_140]) ).
fof(normalize_2_261,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_2_260,normalize_2_114,normalize_2_112,normalize_2_108,normalize_2_105,normalize_2_104,normalize_2_107,normalize_2_98,normalize_2_111]) ).
fof(normalize_2_262,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_2_261,normalize_2_156,normalize_2_153,normalize_2_155,normalize_2_152]) ).
fof(normalize_2_263,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_2_264,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_2_265,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_2_263,normalize_2_264]) ).
fof(normalize_2_266,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_2_262,normalize_2_265,normalize_2_264]) ).
fof(normalize_2_267,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_2_268,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_2_266,normalize_2_267]) ).
fof(normalize_2_269,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_2_268]) ).
fof(normalize_2_270,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_2_269]) ).
fof(normalize_2_271,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_2_265]) ).
fof(normalize_2_272,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_2_271]) ).
fof(normalize_2_273,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_2_264]) ).
fof(normalize_2_274,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_2_273]) ).
fof(normalize_2_275,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_2_273]) ).
fof(normalize_2_276,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_2_267]) ).
fof(normalize_2_277,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_2_276]) ).
fof(normalize_2_278,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_279,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_280,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_2_269]) ).
fof(normalize_2_281,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_2_89]) ).
fof(normalize_2_282,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_2_140]) ).
fof(normalize_2_283,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_284,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_285,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_2_61]) ).
fof(normalize_2_286,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_2_269]) ).
fof(normalize_2_287,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_288,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_289,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_2_71]) ).
fof(normalize_2_290,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_291,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_292,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_2_50]) ).
fof(normalize_2_293,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_2_157]) ).
fof(normalize_2_294,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_2_157]) ).
cnf(refute_2_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_4,refute_2_5]) ).
cnf(refute_2_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_2_3,refute_2_7]) ).
cnf(refute_2_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_2_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_9]) ).
cnf(refute_2_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_2,refute_2_10]) ).
cnf(refute_2_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_2_13,refute_2_14]) ).
cnf(refute_2_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_2_12,refute_2_17]) ).
cnf(refute_2_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_20,refute_2_19]) ).
cnf(refute_2_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_18,refute_2_21]) ).
cnf(refute_2_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_2_22,refute_2_11]) ).
cnf(refute_2_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_2_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_25,refute_2_26]) ).
cnf(refute_2_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_27]) ).
cnf(refute_2_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_2_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_31]) ).
cnf(refute_2_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_6,refute_2_33]) ).
cnf(refute_2_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_32,refute_2_35]) ).
cnf(refute_2_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_2_28,refute_2_36]) ).
cnf(refute_2_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_2_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_2_37,refute_2_38]) ).
cnf(refute_2_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_39]) ).
cnf(refute_2_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_2_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_2_40,refute_2_41]) ).
cnf(refute_2_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_24,refute_2_42]) ).
cnf(refute_2_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_2_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_2_43,refute_2_44]) ).
cnf(refute_2_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_2_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_46]) ).
cnf(refute_2_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_23,refute_2_47]) ).
cnf(refute_2_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_48,refute_2_49]) ).
cnf(refute_2_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_2_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_2_52,refute_2_53]) ).
cnf(refute_2_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_2_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_2_55,refute_2_56]) ).
cnf(refute_2_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_57]) ).
cnf(refute_2_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_2_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_2_58,refute_2_59]) ).
cnf(refute_2_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_2_60,refute_2_51]) ).
cnf(refute_2_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_2_63,refute_2_64]) ).
cnf(refute_2_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_2_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_2_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_2_66,refute_2_67]) ).
cnf(refute_2_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_68]) ).
cnf(refute_2_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_2_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_2_69,refute_2_70]) ).
cnf(refute_2_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_2_71,refute_2_62]) ).
cnf(refute_2_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_74]) ).
cnf(refute_2_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_73,refute_2_75]) ).
cnf(refute_2_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_2_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_76,refute_2_77]) ).
cnf(refute_2_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_2_78,refute_2_72]) ).
cnf(refute_2_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_2_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_80]) ).
cnf(refute_2_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_81,refute_2_79]) ).
cnf(refute_2_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_2_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_76,refute_2_83]) ).
cnf(refute_2_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_84,refute_2_82]) ).
cnf(refute_2_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_2_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_86,refute_2_85]) ).
cnf(refute_2_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_2_87,refute_2_61]) ).
cnf(refute_2_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_2_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_92]) ).
cnf(refute_2_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_2_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_2_94,refute_2_95]) ).
cnf(refute_2_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_96]) ).
cnf(refute_2_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_2_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_2_97,refute_2_98]) ).
cnf(refute_2_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_2_93,refute_2_99]) ).
cnf(refute_2_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_2_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_2_100,refute_2_101]) ).
cnf(refute_2_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_2_89,refute_2_102]) ).
cnf(refute_2_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_105]) ).
cnf(refute_2_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_104,refute_2_106]) ).
cnf(refute_2_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_2_87,refute_2_107]) ).
cnf(refute_2_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_108,refute_2_109]) ).
cnf(refute_2_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_2_103,refute_2_110]) ).
cnf(refute_2_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_108,refute_2_112]) ).
cnf(refute_2_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_2_103,refute_2_113]) ).
cnf(refute_2_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_2_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_2_116,refute_2_117]) ).
cnf(refute_2_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_118]) ).
cnf(refute_2_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_2_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_2_119,refute_2_120]) ).
cnf(refute_2_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_2_115,refute_2_121]) ).
cnf(refute_2_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_2_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_2_122,refute_2_123]) ).
cnf(refute_2_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_2_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_2_124,refute_2_125]) ).
cnf(refute_2_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_2_114,refute_2_126]) ).
cnf(refute_2_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_108,refute_2_128]) ).
cnf(refute_2_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_2_122,refute_2_129]) ).
cnf(refute_2_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_2_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_131]) ).
cnf(refute_2_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_2_130,refute_2_132]) ).
cnf(refute_2_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_2_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_2_133,refute_2_134]) ).
cnf(refute_2_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_2_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_2_135,refute_2_136]) ).
cnf(refute_2_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_108,refute_2_137]) ).
cnf(refute_2_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_2_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_2_138,refute_2_139]) ).
cnf(refute_2_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_2_127,refute_2_140]) ).
cnf(refute_2_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_2_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_2_141,refute_2_142]) ).
cnf(refute_2_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_2_111,refute_2_143]) ).
cnf(refute_2_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_2_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_2_144,refute_2_145]) ).
cnf(refute_2_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_2_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_2_146,refute_2_147]) ).
cnf(refute_2_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_2_148,refute_2_88]) ).
cnf(refute_2_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_2_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_149]) ).
cnf(refute_2_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_2_151,refute_2_50]) ).
cnf(refute_2_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_2_152,refute_2_1]) ).
cnf(refute_2_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_2_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_2_158,refute_2_159]) ).
cnf(refute_2_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_160]) ).
cnf(refute_2_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_2_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_2_161,refute_2_162]) ).
cnf(refute_2_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_2_157,refute_2_163]) ).
cnf(refute_2_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_2_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_2_164,refute_2_165]) ).
cnf(refute_2_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_2_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_167]) ).
cnf(refute_2_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_2_168,refute_2_156]) ).
cnf(refute_2_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_155,refute_2_169]) ).
cnf(refute_2_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_2_170,refute_2_154]) ).
cnf(refute_2_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_173,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_2_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_173]) ).
cnf(refute_2_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_2_174,refute_2_172]) ).
cnf(refute_2_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_2_171,refute_2_175]) ).
cnf(refute_2_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_2_176,refute_2_153]) ).
cnf(refute_2_178,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_179,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_180,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_181,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_2_60]) ).
cnf(refute_2_182,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_183,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_184,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_182,refute_2_183]) ).
cnf(refute_2_185,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_181,refute_2_184]) ).
cnf(refute_2_186,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_2_187,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_2_185,refute_2_186]) ).
cnf(refute_2_188,plain,
h4(op1(e10,e12)) != op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_187,refute_2_180]) ).
cnf(refute_2_189,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_190,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_191,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_2_65]) ).
cnf(refute_2_192,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_2_193,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_2_191,refute_2_192]) ).
cnf(refute_2_194,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_2_195,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_194]) ).
cnf(refute_2_196,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_2_195,refute_2_190]) ).
cnf(refute_2_197,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_189,refute_2_196]) ).
cnf(refute_2_198,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_66]) ).
cnf(refute_2_199,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_200,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_2_201,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_202,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_2_200,refute_2_201]) ).
cnf(refute_2_203,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_202]) ).
cnf(refute_2_204,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_2_205,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_2_203,refute_2_204]) ).
cnf(refute_2_206,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_2_199,refute_2_205]) ).
cnf(refute_2_207,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_2_208,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_2_206,refute_2_207]) ).
cnf(refute_2_209,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_210,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_208,refute_2_209]) ).
cnf(refute_2_211,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_2_210,refute_2_198]) ).
cnf(refute_2_212,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_197,refute_2_211]) ).
cnf(refute_2_213,plain,
( h4(e11) != op2(h4(e10),e23)
| op1(e10,e12) != e11
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_214,plain,
( h4(e11) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_212,refute_2_213]) ).
cnf(refute_2_215,plain,
( h4(e11) != op2(h4(e10),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_2_214,refute_2_188]) ).
cnf(refute_2_216,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_217,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_2_218,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_217]) ).
cnf(refute_2_219,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_218]) ).
cnf(refute_2_220,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_2_221,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_222,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_2_220,refute_2_221]) ).
cnf(refute_2_223,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_222]) ).
cnf(refute_2_224,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_225,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_226,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_224,refute_2_225]) ).
cnf(refute_2_227,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_226]) ).
cnf(refute_2_228,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_2_229,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_2_227,refute_2_228]) ).
cnf(refute_2_230,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_2_223,refute_2_229]) ).
cnf(refute_2_231,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_232,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_2_230,refute_2_231]) ).
cnf(refute_2_233,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_232]) ).
cnf(refute_2_234,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_235,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_2_233,refute_2_234]) ).
cnf(refute_2_236,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_216,refute_2_235]) ).
cnf(refute_2_237,plain,
( h2(e13) != op2(h4(e10),e23)
| h4(e11) != h2(e13)
| h4(e11) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_2_238,plain,
( h2(e13) != op2(h4(e10),e23)
| h4(e11) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_236,refute_2_237]) ).
cnf(refute_2_239,plain,
( h2(e13) != op2(h4(e10),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_2_238,refute_2_215]) ).
cnf(refute_2_240,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_2_70]) ).
cnf(refute_2_241,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_242,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_241,refute_2_10]) ).
cnf(refute_2_243,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_244,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_2_245,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_244]) ).
cnf(refute_2_246,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_2_245,refute_2_243]) ).
cnf(refute_2_247,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_2_248,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_2_247,refute_2_246]) ).
cnf(refute_2_249,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_2_242,refute_2_248]) ).
cnf(refute_2_250,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_249,refute_2_47]) ).
cnf(refute_2_251,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_2_74]) ).
cnf(refute_2_252,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_253,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_254,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_2_252,refute_2_253]) ).
cnf(refute_2_255,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_254]) ).
cnf(refute_2_256,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_257,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_2_255,refute_2_256]) ).
cnf(refute_2_258,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_2_251,refute_2_257]) ).
cnf(refute_2_259,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_2_260,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_2_258,refute_2_259]) ).
cnf(refute_2_261,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_2_262,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_261]) ).
cnf(refute_2_263,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_2_250,refute_2_262]) ).
cnf(refute_2_264,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_263,refute_2_49]) ).
cnf(refute_2_265,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_2_266,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_265]) ).
cnf(refute_2_267,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_2_266,refute_2_240]) ).
cnf(refute_2_268,plain,
( h2(e13) != op2(e23,e23)
| h4(e10) != e23
| h2(e13) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_269,plain,
( h2(e13) != op2(e23,e23)
| h2(e13) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_267,refute_2_268]) ).
cnf(refute_2_270,plain,
( h2(e13) != op2(e23,e23)
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_269,refute_2_239]) ).
cnf(refute_2_271,plain,
( h2(e13) != e21
| op2(e23,e23) != e21
| h2(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_272,plain,
( h2(e13) != e21
| h2(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_271]) ).
cnf(refute_2_273,plain,
( h2(e13) != e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e23)) )],[refute_2_272,refute_2_270]) ).
cnf(refute_2_274,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_2_75]) ).
cnf(refute_2_275,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_2_76]) ).
cnf(refute_2_276,plain,
( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_2_77]) ).
cnf(refute_2_277,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_2_79]) ).
cnf(refute_2_278,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_80]) ).
cnf(refute_2_279,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_280,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_279]) ).
cnf(refute_2_281,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_2_280,refute_2_278]) ).
cnf(refute_2_282,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_2_277,refute_2_281]) ).
cnf(refute_2_283,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_282,refute_2_169]) ).
cnf(refute_2_284,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_2_285,plain,
( op2(e20,e22) = e21
| op2(e20,op2(e20,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_283,refute_2_284]) ).
cnf(refute_2_286,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_2_285,refute_2_276]) ).
cnf(refute_2_287,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_2_288,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_286,refute_2_287]) ).
cnf(refute_2_289,plain,
( e21 != op2(e21,e22)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_288,refute_2_275]) ).
cnf(refute_2_290,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_2_81]) ).
cnf(refute_2_291,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_82]) ).
cnf(refute_2_292,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_293,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_292]) ).
cnf(refute_2_294,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_2_293,refute_2_291]) ).
cnf(refute_2_295,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_2_290,refute_2_294]) ).
cnf(refute_2_296,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_83]) ).
cnf(refute_2_297,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_2_298,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_297]) ).
cnf(refute_2_299,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_2_298,refute_2_296]) ).
cnf(refute_2_300,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_2_295,refute_2_299]) ).
cnf(refute_2_301,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_302,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_300,refute_2_301]) ).
cnf(refute_2_303,plain,
( e21 != e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_2_302,refute_2_289]) ).
cnf(refute_2_304,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_303]) ).
cnf(refute_2_305,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_2_84]) ).
cnf(refute_2_306,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_305,refute_2_106]) ).
cnf(refute_2_307,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_2_308,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_307]) ).
cnf(refute_2_309,plain,
( h2(e13) = e21
| h4(e10) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_2_306,refute_2_308]) ).
cnf(refute_2_310,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_85]) ).
cnf(refute_2_311,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_312,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_311]) ).
cnf(refute_2_313,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_2_312,refute_2_310]) ).
cnf(refute_2_314,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_315,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_314]) ).
cnf(refute_2_316,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_2_317,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_316]) ).
cnf(refute_2_318,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_2_317,refute_2_315]) ).
cnf(refute_2_319,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_2_318,refute_2_313]) ).
cnf(refute_2_320,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_2_309,refute_2_319]) ).
cnf(refute_2_321,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_322,plain,
( op2(e21,e22) != e22
| e21 = e22
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_320,refute_2_321]) ).
cnf(refute_2_323,plain,
( e21 = e22
| h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_304,refute_2_322]) ).
cnf(refute_2_324,plain,
e21 != e22,
inference(canonicalize,[],[normalize_2_86]) ).
cnf(refute_2_325,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_323,refute_2_324]) ).
cnf(refute_2_326,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_2_327,plain,
( op2(e21,e20) != e20
| e21 = e20
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_325,refute_2_326]) ).
cnf(refute_2_328,plain,
( e21 = e20
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_2_274,refute_2_327]) ).
cnf(refute_2_329,plain,
e20 != e21,
inference(canonicalize,[],[normalize_2_87]) ).
cnf(refute_2_330,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_331,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_330,refute_2_329]) ).
cnf(refute_2_332,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_328,refute_2_331]) ).
cnf(refute_2_333,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_334,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_332,refute_2_333]) ).
cnf(refute_2_335,plain,
( e21 != e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_334,refute_2_273]) ).
cnf(refute_2_336,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_335]) ).
cnf(refute_2_337,plain,
( op1(e10,e11) != e12
| op1(e10,e12) != e12
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_2_338,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_336,refute_2_337]) ).
cnf(refute_2_339,plain,
( op1(e10,e11) != e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_2_338,refute_2_179]) ).
cnf(refute_2_340,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_88]) ).
cnf(refute_2_341,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_342,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_343,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_341,refute_2_342]) ).
cnf(refute_2_344,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_236,refute_2_343]) ).
cnf(refute_2_345,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_346,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_2_344,refute_2_345]) ).
cnf(refute_2_347,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_340,refute_2_346]) ).
cnf(refute_2_348,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_349,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_332,refute_2_348]) ).
cnf(refute_2_350,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_2_347,refute_2_349]) ).
cnf(refute_2_351,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_352,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_267,refute_2_351]) ).
cnf(refute_2_353,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_2_350,refute_2_352]) ).
cnf(refute_2_354,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_2_90]) ).
cnf(refute_2_355,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_91]) ).
cnf(refute_2_356,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_2_92]) ).
cnf(refute_2_357,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_2_358,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_359,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_357,refute_2_358]) ).
cnf(refute_2_360,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_359]) ).
cnf(refute_2_361,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_2_362,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_363,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_361,refute_2_362]) ).
cnf(refute_2_364,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_363]) ).
cnf(refute_2_365,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_366,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_364,refute_2_365]) ).
cnf(refute_2_367,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_2_360,refute_2_366]) ).
cnf(refute_2_368,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_2_369,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_2_367,refute_2_368]) ).
cnf(refute_2_370,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_356,refute_2_369]) ).
cnf(refute_2_371,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_372,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_370,refute_2_371]) ).
cnf(refute_2_373,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_374,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_373]) ).
cnf(refute_2_375,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_374,refute_2_355]) ).
cnf(refute_2_376,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_354,refute_2_375]) ).
cnf(refute_2_377,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_2_378,plain,
( op1(e10,e12) != e11
| e12 = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_336,refute_2_377]) ).
cnf(refute_2_379,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_376,refute_2_378]) ).
cnf(refute_2_380,plain,
e11 != e12,
inference(canonicalize,[],[normalize_2_94]) ).
cnf(refute_2_381,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_2_382,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_381,refute_2_380]) ).
cnf(refute_2_383,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_379,refute_2_382]) ).
cnf(refute_2_384,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_385,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e11) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_383,refute_2_384]) ).
cnf(refute_2_386,plain,
( h4(e11) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_2_353,refute_2_385]) ).
cnf(refute_2_387,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(e23,e21)
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e23,e21)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_388,plain,
( h4(e11) != op2(e23,e21)
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_236,refute_2_387]) ).
cnf(refute_2_389,plain,
( h2(e13) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e21)) )],[refute_2_386,refute_2_388]) ).
cnf(refute_2_390,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_2_95]) ).
cnf(refute_2_391,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_2_392,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_391]) ).
cnf(refute_2_393,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_2_392,refute_2_390]) ).
cnf(refute_2_394,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_2_389,refute_2_393]) ).
cnf(refute_2_395,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_2_396,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_394,refute_2_395]) ).
cnf(refute_2_397,plain,
( e11 != op1(e10,e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_2_396,refute_2_178]) ).
cnf(refute_2_398,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_2_96]) ).
cnf(refute_2_399,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_400,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_398,refute_2_399]) ).
cnf(refute_2_401,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_2_353,refute_2_400]) ).
cnf(refute_2_402,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_2_403,plain,
( h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_402]) ).
cnf(refute_2_404,plain,
( e21 = op2(e23,e21)
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_2_401,refute_2_403]) ).
cnf(refute_2_405,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_97]) ).
cnf(refute_2_406,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_407,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_406]) ).
cnf(refute_2_408,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_2_407,refute_2_405]) ).
cnf(refute_2_409,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_2_410,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_409]) ).
cnf(refute_2_411,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_2_410,refute_2_408]) ).
cnf(refute_2_412,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_2_413,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_2_412,refute_2_411]) ).
cnf(refute_2_414,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_2_404,refute_2_413]) ).
cnf(refute_2_415,plain,
( e11 != e11
| op1(e10,e11) != e11
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_2_416,plain,
( e11 != e11
| e11 = op1(e10,e11)
| op1(e10,e11) = e10
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_414,refute_2_415]) ).
cnf(refute_2_417,plain,
( e11 != e11
| op1(e10,e11) = e10
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_2_416,refute_2_397]) ).
cnf(refute_2_418,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_2_419,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_417]) ).
cnf(refute_2_420,plain,
( e12 != e12
| op1(e10,e11) != e12
| op1(e10,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_2_421,plain,
( e12 != e12
| op1(e10,e11) = e10
| op1(e10,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_419,refute_2_420]) ).
cnf(refute_2_422,plain,
( e12 != e12
| op1(e10,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_421,refute_2_339]) ).
cnf(refute_2_423,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_2_424,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_422]) ).
cnf(refute_2_425,plain,
( op1(e10,e10) != e10
| op1(e10,e11) != e10
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_2_426,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_424,refute_2_425]) ).
cnf(refute_2_427,plain,
( op1(e10,e10) != e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_2_426,refute_2_178]) ).
cnf(refute_2_428,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_2_100]) ).
cnf(refute_2_429,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_430,plain,
( op1(e10,e12) = e11
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_212,refute_2_429]) ).
cnf(refute_2_431,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_2_430,refute_2_428]) ).
cnf(refute_2_432,plain,
( h4(e11) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_431,refute_2_213]) ).
cnf(refute_2_433,plain,
( h4(e11) != op2(h4(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_2_432,refute_2_188]) ).
cnf(refute_2_434,plain,
( h2(e13) != op2(h4(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_2_238,refute_2_433]) ).
cnf(refute_2_435,plain,
( e21 != op2(h4(e10),e23)
| h2(e13) != e21
| h2(e13) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_2_436,plain,
( e21 != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_332,refute_2_435]) ).
cnf(refute_2_437,plain,
( e21 != op2(h4(e10),e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_436,refute_2_434]) ).
cnf(refute_2_438,plain,
( e21 != op2(e23,e23)
| h4(e10) != e23
| e21 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_439,plain,
( e21 != op2(e23,e23)
| e21 = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_267,refute_2_438]) ).
cnf(refute_2_440,plain,
( e21 != op2(e23,e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e23)) )],[refute_2_439,refute_2_437]) ).
cnf(refute_2_441,plain,
( e21 != e21
| op2(e23,e23) != e21
| e21 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_442,plain,
( e21 != e21
| e21 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_441]) ).
cnf(refute_2_443,plain,
( e21 != e21
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_442,refute_2_440]) ).
cnf(refute_2_444,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_443]) ).
cnf(refute_2_445,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_2_116]) ).
cnf(refute_2_446,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_2_118]) ).
cnf(refute_2_447,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_120]) ).
cnf(refute_2_448,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_2_449,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_448]) ).
cnf(refute_2_450,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_2_447,refute_2_449]) ).
cnf(refute_2_451,plain,
e12 != e13,
inference(canonicalize,[],[normalize_2_121]) ).
cnf(refute_2_452,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_2_453,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_452,refute_2_451]) ).
cnf(refute_2_454,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_450,refute_2_453]) ).
cnf(refute_2_455,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_2_454,refute_2_446]) ).
cnf(refute_2_456,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_2_457,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_456]) ).
cnf(refute_2_458,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_2_455,refute_2_457]) ).
cnf(refute_2_459,plain,
e11 != e13,
inference(canonicalize,[],[normalize_2_122]) ).
cnf(refute_2_460,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_458,refute_2_459]) ).
cnf(refute_2_461,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_124]) ).
cnf(refute_2_462,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_2_126]) ).
cnf(refute_2_463,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_2_127]) ).
cnf(refute_2_464,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_2_465,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_463,refute_2_464]) ).
cnf(refute_2_466,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_2_465,refute_2_462]) ).
cnf(refute_2_467,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_2_466,refute_2_461]) ).
cnf(refute_2_468,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_128]) ).
cnf(refute_2_469,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_2_466,refute_2_468]) ).
cnf(refute_2_470,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_2_471,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_469,refute_2_470]) ).
cnf(refute_2_472,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_2_471,refute_2_467]) ).
cnf(refute_2_473,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_2_472,refute_2_460]) ).
cnf(refute_2_474,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_2_473,refute_2_445]) ).
cnf(refute_2_475,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_2_130]) ).
cnf(refute_2_476,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_2_132]) ).
cnf(refute_2_477,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_478,plain,
( e10 != e10
| op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_476,refute_2_477]) ).
cnf(refute_2_479,plain,
( e10 != e10
| definitionFOFtoCNF_6 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_478,refute_2_211]) ).
cnf(refute_2_480,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_2_481,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_479]) ).
cnf(refute_2_482,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_2_481,refute_2_475]) ).
cnf(refute_2_483,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_133]) ).
cnf(refute_2_484,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_2_485,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_208,refute_2_484]) ).
cnf(refute_2_486,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_2_485,refute_2_483]) ).
cnf(refute_2_487,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_2_482,refute_2_486]) ).
cnf(refute_2_488,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_2_487,refute_2_474]) ).
cnf(refute_2_489,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_2_134]) ).
cnf(refute_2_490,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_2_135]) ).
cnf(refute_2_491,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_2_136]) ).
cnf(refute_2_492,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_2_493,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_492]) ).
cnf(refute_2_494,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_2_493,refute_2_491]) ).
cnf(refute_2_495,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_2_490,refute_2_494]) ).
cnf(refute_2_496,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_137]) ).
cnf(refute_2_497,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_498,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_208,refute_2_497]) ).
cnf(refute_2_499,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_2_498,refute_2_496]) ).
cnf(refute_2_500,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_495,refute_2_499]) ).
cnf(refute_2_501,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_2_502,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_500,refute_2_501]) ).
cnf(refute_2_503,plain,
( op1(e10,e12) != e12
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_2_502,refute_2_489]) ).
cnf(refute_2_504,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_505,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_336,refute_2_504]) ).
cnf(refute_2_506,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_505,refute_2_503]) ).
cnf(refute_2_507,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_506]) ).
cnf(refute_2_508,plain,
( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_2_509,plain,
( op1(e11,e11) != e12
| op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_507,refute_2_508]) ).
cnf(refute_2_510,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_509,refute_2_488]) ).
cnf(refute_2_511,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_2_138]) ).
cnf(refute_2_512,plain,
( op1(e11,e11) != e11
| op1(e11,e12) != e11
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_2_513,plain,
( op1(e11,e11) != e11
| op1(e11,e11) = op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_507,refute_2_512]) ).
cnf(refute_2_514,plain,
( op1(e11,e11) != e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_2_513,refute_2_511]) ).
cnf(refute_2_515,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_2_139]) ).
cnf(refute_2_516,plain,
( e10 != op1(e11,e11)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_2_517,plain,
( e10 != op1(e11,e11)
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_424,refute_2_516]) ).
cnf(refute_2_518,plain,
( e10 != op1(e11,e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_2_517,refute_2_515]) ).
cnf(refute_2_519,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_2_141]) ).
cnf(refute_2_520,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_2_521,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_520]) ).
cnf(refute_2_522,plain,
( op1(e13,e10) != e13
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_2_519,refute_2_521]) ).
cnf(refute_2_523,plain,
e10 != e13,
inference(canonicalize,[],[normalize_2_142]) ).
cnf(refute_2_524,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_525,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_524,refute_2_523]) ).
cnf(refute_2_526,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_2_522,refute_2_525]) ).
cnf(refute_2_527,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_2_528,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_527]) ).
cnf(refute_2_529,plain,
( op1(e13,e10) != e13
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_526,refute_2_528]) ).
cnf(refute_2_530,plain,
e10 != e11,
inference(canonicalize,[],[normalize_2_143]) ).
cnf(refute_2_531,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_532,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_531,refute_2_530]) ).
cnf(refute_2_533,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_2_529,refute_2_532]) ).
cnf(refute_2_534,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_2_144]) ).
cnf(refute_2_535,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_2_145]) ).
cnf(refute_2_536,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_146]) ).
cnf(refute_2_537,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_2_538,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_537]) ).
cnf(refute_2_539,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_2_538,refute_2_536]) ).
cnf(refute_2_540,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_2_541,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_2_540,refute_2_539]) ).
cnf(refute_2_542,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_2_535,refute_2_541]) ).
cnf(refute_2_543,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_2_542,refute_2_457]) ).
cnf(refute_2_544,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_543,refute_2_459]) ).
cnf(refute_2_545,plain,
( op1(e11,e11) != e13
| op1(e13,e11) != e13
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_2_546,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e13,e11)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_544,refute_2_545]) ).
cnf(refute_2_547,plain,
( op1(e11,e11) != e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_2_546,refute_2_534]) ).
cnf(refute_2_548,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(canonicalize,[],[normalize_2_147]) ).
cnf(refute_2_549,plain,
( e13 != e13
| op1(e11,e11) != e13
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_2_550,plain,
( e13 != e13
| op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_2_548,refute_2_549]) ).
cnf(refute_2_551,plain,
( e13 != e13
| op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_2_550,refute_2_547]) ).
cnf(refute_2_552,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_2_551,refute_2_533]) ).
cnf(refute_2_553,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_2_554,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_553,refute_2_552]) ).
cnf(refute_2_555,plain,
( e10 != e10
| op1(e11,e11) != e10
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_2_556,plain,
( e10 != e10
| e10 = op1(e11,e11)
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_554,refute_2_555]) ).
cnf(refute_2_557,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_2_556,refute_2_518]) ).
cnf(refute_2_558,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_557]) ).
cnf(refute_2_559,plain,
( e11 != e11
| op1(e11,e11) != e11
| op1(e11,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_560,plain,
( e11 != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_558,refute_2_559]) ).
cnf(refute_2_561,plain,
( e11 != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_560,refute_2_514]) ).
cnf(refute_2_562,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_561]) ).
cnf(refute_2_563,plain,
( e12 != e12
| op1(e11,e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_2_564,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_562,refute_2_563]) ).
cnf(refute_2_565,plain,
( e12 != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_564,refute_2_510]) ).
cnf(refute_2_566,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_565]) ).
cnf(refute_2_567,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_2_444,refute_2_566]) ).
cnf(refute_2_568,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_2_148]) ).
cnf(refute_2_569,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_2_152,refute_2_568]) ).
cnf(refute_2_570,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_2_176,refute_2_569]) ).
cnf(refute_2_571,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_2_572,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_300,refute_2_571]) ).
cnf(refute_2_573,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_2_572,refute_2_570]) ).
cnf(refute_2_574,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_149]) ).
cnf(refute_2_575,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_2_158]) ).
cnf(refute_2_576,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_2_160]) ).
cnf(refute_2_577,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_2_161]) ).
cnf(refute_2_578,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_2_162]) ).
cnf(refute_2_579,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_2_580,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_579]) ).
cnf(refute_2_581,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_2_578,refute_2_580]) ).
cnf(refute_2_582,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_2_583,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_582,refute_2_459]) ).
cnf(refute_2_584,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_2_581,refute_2_583]) ).
cnf(refute_2_585,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_163]) ).
cnf(refute_2_586,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_587,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_586]) ).
cnf(refute_2_588,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_2_587,refute_2_585]) ).
cnf(refute_2_589,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_584,refute_2_588]) ).
cnf(refute_2_590,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_2_591,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_2_589,refute_2_590]) ).
cnf(refute_2_592,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_2_591,refute_2_577]) ).
cnf(refute_2_593,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_594,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_2_592,refute_2_593]) ).
cnf(refute_2_595,plain,
( e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_2_576,refute_2_594]) ).
cnf(refute_2_596,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_595,refute_2_380]) ).
cnf(refute_2_597,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_2_596,refute_2_575]) ).
cnf(refute_2_598,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_2_164]) ).
cnf(refute_2_599,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_2_598,refute_2_449]) ).
cnf(refute_2_600,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_599,refute_2_453]) ).
cnf(refute_2_601,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_2_602,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_208,refute_2_601]) ).
cnf(refute_2_603,plain,
( e10 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_2_600,refute_2_602]) ).
cnf(refute_2_604,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_165]) ).
cnf(refute_2_605,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_603,refute_2_604]) ).
cnf(refute_2_606,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_607,plain,
( op1(e10,e12) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_605,refute_2_606]) ).
cnf(refute_2_608,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_607,refute_2_597]) ).
cnf(refute_2_609,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_2_167]) ).
cnf(refute_2_610,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_168]) ).
cnf(refute_2_611,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_612,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_611]) ).
cnf(refute_2_613,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_2_612,refute_2_610]) ).
cnf(refute_2_614,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_609,refute_2_613]) ).
cnf(refute_2_615,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_2_170]) ).
cnf(refute_2_616,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_615,refute_2_501]) ).
cnf(refute_2_617,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_2_616,refute_2_489]) ).
cnf(refute_2_618,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_212,refute_2_504]) ).
cnf(refute_2_619,plain,
( e12 != e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_618,refute_2_617]) ).
cnf(refute_2_620,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_619]) ).
cnf(refute_2_621,plain,
( h4(e11) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_620,refute_2_213]) ).
cnf(refute_2_622,plain,
( h4(e11) != op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_2_621,refute_2_188]) ).
cnf(refute_2_623,plain,
( h2(e13) != op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_2_238,refute_2_622]) ).
cnf(refute_2_624,plain,
( e21 != op2(h4(e10),e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_436,refute_2_623]) ).
cnf(refute_2_625,plain,
( e21 != op2(e23,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e23)) )],[refute_2_439,refute_2_624]) ).
cnf(refute_2_626,plain,
( e21 != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_442,refute_2_625]) ).
cnf(refute_2_627,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_626]) ).
cnf(refute_2_628,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_627,refute_2_573]) ).
cnf(refute_2_629,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_2_175]) ).
cnf(refute_2_630,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_2_629,refute_2_308]) ).
cnf(refute_2_631,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_2_630,refute_2_319]) ).
cnf(refute_2_632,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_2_176]) ).
cnf(refute_2_633,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_2_178]) ).
cnf(refute_2_634,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_2_179]) ).
cnf(refute_2_635,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_2_636,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_635]) ).
cnf(refute_2_637,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_2_634,refute_2_636]) ).
cnf(refute_2_638,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_2_639,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_638,refute_2_49]) ).
cnf(refute_2_640,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_637,refute_2_639]) ).
cnf(refute_2_641,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_180]) ).
cnf(refute_2_642,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_643,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_642]) ).
cnf(refute_2_644,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_2_643,refute_2_641]) ).
cnf(refute_2_645,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_2_646,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_645]) ).
cnf(refute_2_647,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_2_646,refute_2_644]) ).
cnf(refute_2_648,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_640,refute_2_647]) ).
cnf(refute_2_649,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_650,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_648,refute_2_649]) ).
cnf(refute_2_651,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_2_650,refute_2_633]) ).
cnf(refute_2_652,plain,
( op2(e21,e20) != e21
| op2(e22,e20) != e21
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e22,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_2_653,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e22,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_2_651,refute_2_652]) ).
cnf(refute_2_654,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_2_653,refute_2_632]) ).
cnf(refute_2_655,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_2_181]) ).
cnf(refute_2_656,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_2_657,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_655,refute_2_656]) ).
cnf(refute_2_658,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_657,refute_2_275]) ).
cnf(refute_2_659,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_2_660,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_283,refute_2_659]) ).
cnf(refute_2_661,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_660,refute_2_658]) ).
cnf(refute_2_662,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_2_663,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_661]) ).
cnf(refute_2_664,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_663,refute_2_287]) ).
cnf(refute_2_665,plain,
( e21 != op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_664,refute_2_275]) ).
cnf(refute_2_666,plain,
( e21 != e21
| e21 = op2(e21,e22)
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_320,refute_2_301]) ).
cnf(refute_2_667,plain,
( e21 != e21
| h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_2_666,refute_2_665]) ).
cnf(refute_2_668,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_667,refute_2_654]) ).
cnf(refute_2_669,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_668]) ).
cnf(refute_2_670,plain,
( e21 != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_669,refute_2_435]) ).
cnf(refute_2_671,plain,
( e21 != op2(h4(e10),e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_670,refute_2_623]) ).
cnf(refute_2_672,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_2_182]) ).
cnf(refute_2_673,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_2_674,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_673]) ).
cnf(refute_2_675,plain,
op2(e21,e22) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_2_674,refute_2_672]) ).
cnf(refute_2_676,plain,
( e22 != h4(e10)
| op2(e21,e22) != e22
| op2(e21,e22) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_2_677,plain,
( e22 != h4(e10)
| op2(e21,e22) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_655,refute_2_676]) ).
cnf(refute_2_678,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_2_677,refute_2_675]) ).
cnf(refute_2_679,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_2_183]) ).
cnf(refute_2_680,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_2_184]) ).
cnf(refute_2_681,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_2_680,refute_2_248]) ).
cnf(refute_2_682,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_681,refute_2_647]) ).
cnf(refute_2_683,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_2_684,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_2_682,refute_2_683]) ).
cnf(refute_2_685,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_2_684,refute_2_679]) ).
cnf(refute_2_686,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_687,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_686]) ).
cnf(refute_2_688,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_687,refute_2_685]) ).
cnf(refute_2_689,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_2_690,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_688]) ).
cnf(refute_2_691,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_2_185]) ).
cnf(refute_2_692,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_2_693,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_692]) ).
cnf(refute_2_694,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_691,refute_2_693]) ).
cnf(refute_2_695,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_696,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_695]) ).
cnf(refute_2_697,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_2_694,refute_2_696]) ).
cnf(refute_2_698,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_2_699,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_698]) ).
cnf(refute_2_700,plain,
( e21 = e22
| h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_2_697,refute_2_699]) ).
cnf(refute_2_701,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_700,refute_2_324]) ).
cnf(refute_2_702,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_2_703,plain,
( op2(e22,e23) != e20
| e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_2_701,refute_2_702]) ).
cnf(refute_2_704,plain,
( e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_2_690,refute_2_703]) ).
cnf(refute_2_705,plain,
e20 != e22,
inference(canonicalize,[],[normalize_2_186]) ).
cnf(refute_2_706,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_707,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_706,refute_2_705]) ).
cnf(refute_2_708,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_704,refute_2_707]) ).
cnf(refute_2_709,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_710,plain,
( op2(e20,e23) != e22
| e23 = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_709]) ).
cnf(refute_2_711,plain,
( e23 = e22
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_708,refute_2_710]) ).
cnf(refute_2_712,plain,
( h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_711,refute_2_21]) ).
cnf(refute_2_713,plain,
( e22 != e22
| h4(e10) != e22
| e22 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_2_714,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_712,refute_2_713]) ).
cnf(refute_2_715,plain,
( e22 != e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_2_714,refute_2_678]) ).
cnf(refute_2_716,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_715]) ).
cnf(refute_2_717,plain,
( e21 != op2(e23,e23)
| e21 = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_716,refute_2_438]) ).
cnf(refute_2_718,plain,
( e21 != op2(e23,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e23)) )],[refute_2_717,refute_2_671]) ).
cnf(refute_2_719,plain,
( e21 != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_442,refute_2_718]) ).
cnf(refute_2_720,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_719]) ).
cnf(refute_2_721,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_2_720,refute_2_631]) ).
cnf(refute_2_722,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_2_192]) ).
cnf(refute_2_723,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_2_194]) ).
cnf(refute_2_724,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_2_195]) ).
cnf(refute_2_725,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_2_650,refute_2_724]) ).
cnf(refute_2_726,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_727,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_2_725,refute_2_726]) ).
cnf(refute_2_728,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_2_723,refute_2_727]) ).
cnf(refute_2_729,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_728,refute_2_324]) ).
cnf(refute_2_730,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_2_729,refute_2_722]) ).
cnf(refute_2_731,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_2_196]) ).
cnf(refute_2_732,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_2_733,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_732]) ).
cnf(refute_2_734,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_2_733,refute_2_731]) ).
cnf(refute_2_735,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_2_736,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_300,refute_2_735]) ).
cnf(refute_2_737,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_2_736,refute_2_734]) ).
cnf(refute_2_738,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_2_197]) ).
cnf(refute_2_739,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_740,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_739]) ).
cnf(refute_2_741,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_2_738,refute_2_740]) ).
cnf(refute_2_742,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_741,refute_2_106]) ).
cnf(refute_2_743,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_744,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_743]) ).
cnf(refute_2_745,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_742,refute_2_744]) ).
cnf(refute_2_746,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_747,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_746]) ).
cnf(refute_2_748,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_2_745,refute_2_747]) ).
cnf(refute_2_749,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_2_750,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_748,refute_2_749]) ).
cnf(refute_2_751,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_750,refute_2_737]) ).
cnf(refute_2_752,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_751]) ).
cnf(refute_2_753,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_754,plain,
( op2(e21,e21) != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_752,refute_2_753]) ).
cnf(refute_2_755,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_2_754,refute_2_730]) ).
cnf(refute_2_756,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_2_757,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_756]) ).
cnf(refute_2_758,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_757,refute_2_755]) ).
cnf(refute_2_759,plain,
( h2(e13) != e20
| h2(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_2_760,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_758,refute_2_759]) ).
cnf(refute_2_761,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_762,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| e22 = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_760,refute_2_761]) ).
cnf(refute_2_763,plain,
( h2(e13) != e22
| h2(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_2_764,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e20
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_762,refute_2_763]) ).
cnf(refute_2_765,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_764,refute_2_707]) ).
cnf(refute_2_766,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_2_767,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_766,refute_2_324]) ).
cnf(refute_2_768,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_765,refute_2_767]) ).
cnf(refute_2_769,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_768,refute_2_19]) ).
cnf(refute_2_770,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_2_198]) ).
cnf(refute_2_771,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_772,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_771]) ).
cnf(refute_2_773,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_2_772,refute_2_770]) ).
cnf(refute_2_774,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_2_200]) ).
cnf(refute_2_775,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_776,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_775]) ).
cnf(refute_2_777,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_774,refute_2_776]) ).
cnf(refute_2_778,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_777,refute_2_744]) ).
cnf(refute_2_779,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_2_778,refute_2_17]) ).
cnf(refute_2_780,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_779,refute_2_693]) ).
cnf(refute_2_781,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_780,refute_2_21]) ).
cnf(refute_2_782,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_2_781,refute_2_696]) ).
cnf(refute_2_783,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_782,refute_2_324]) ).
cnf(refute_2_784,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_2_201]) ).
cnf(refute_2_785,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_2_784,refute_2_636]) ).
cnf(refute_2_786,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_785,refute_2_639]) ).
cnf(refute_2_787,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_2_788,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_787]) ).
cnf(refute_2_789,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_786,refute_2_788]) ).
cnf(refute_2_790,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_789,refute_2_329]) ).
cnf(refute_2_791,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_2_792,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_790,refute_2_791]) ).
cnf(refute_2_793,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_792,refute_2_783]) ).
cnf(refute_2_794,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_793]) ).
cnf(refute_2_795,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_796,plain,
( h1(e13) != e21
| h1(e13) = e22
| h1(e13) = op2(e20,e22)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_794,refute_2_795]) ).
cnf(refute_2_797,plain,
( h1(e13) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_2_796,refute_2_773]) ).
cnf(refute_2_798,plain,
( h1(e13) != e21
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_799,plain,
( h1(e13) != e21
| e21 = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_797,refute_2_798]) ).
cnf(refute_2_800,plain,
( h1(e13) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_799,refute_2_324]) ).
cnf(refute_2_801,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_2_202]) ).
cnf(refute_2_802,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_2_203]) ).
cnf(refute_2_803,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_2_729,refute_2_802]) ).
cnf(refute_2_804,plain,
( ~ definitionFOFtoCNF_23
| op2(e22,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_721,refute_2_803]) ).
cnf(refute_2_805,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_2_204]) ).
cnf(refute_2_806,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_2_215]) ).
cnf(refute_2_807,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_2_217]) ).
cnf(refute_2_808,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_2_807,refute_2_248]) ).
cnf(refute_2_809,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_2_219]) ).
cnf(refute_2_810,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_811,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_812,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_2_810,refute_2_811]) ).
cnf(refute_2_813,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_812]) ).
cnf(refute_2_814,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_2_815,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_2_813,refute_2_814]) ).
cnf(refute_2_816,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_2_815,refute_2_809]) ).
cnf(refute_2_817,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_2_818,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_819,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_2_817,refute_2_818]) ).
cnf(refute_2_820,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_819]) ).
cnf(refute_2_821,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_2_822,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_2_820,refute_2_821]) ).
cnf(refute_2_823,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_2_822,refute_2_816]) ).
cnf(refute_2_824,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_2_220]) ).
cnf(refute_2_825,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_2_826,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_824,refute_2_825]) ).
cnf(refute_2_827,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_826,refute_2_823]) ).
cnf(refute_2_828,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_827]) ).
cnf(refute_2_829,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_2_828,refute_2_808]) ).
cnf(refute_2_830,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_2_806,refute_2_829]) ).
cnf(refute_2_831,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_2_222]) ).
cnf(refute_2_832,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_833,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_832]) ).
cnf(refute_2_834,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_2_831,refute_2_833]) ).
cnf(refute_2_835,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_834,refute_2_705]) ).
cnf(refute_2_836,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_2_830,refute_2_835]) ).
cnf(refute_2_837,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_2_838,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_836,refute_2_837]) ).
cnf(refute_2_839,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_2_838,refute_2_805]) ).
cnf(refute_2_840,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_2_223]) ).
cnf(refute_2_841,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_2_840,refute_2_829]) ).
cnf(refute_2_842,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_2_841,refute_2_835]) ).
cnf(refute_2_843,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_2_224]) ).
cnf(refute_2_844,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_2_843,refute_2_747]) ).
cnf(refute_2_845,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_225]) ).
cnf(refute_2_846,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_847,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_846]) ).
cnf(refute_2_848,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_2_847,refute_2_845]) ).
cnf(refute_2_849,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_2_844,refute_2_848]) ).
cnf(refute_2_850,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_2_851,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_849,refute_2_850]) ).
cnf(refute_2_852,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_2_851,refute_2_842]) ).
cnf(refute_2_853,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_854,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_853]) ).
cnf(refute_2_855,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_854,refute_2_852]) ).
cnf(refute_2_856,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_855]) ).
cnf(refute_2_857,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_858,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_856,refute_2_857]) ).
cnf(refute_2_859,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_858,refute_2_839]) ).
cnf(refute_2_860,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_859]) ).
cnf(refute_2_861,plain,
( h2(e13) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_862,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_860,refute_2_861]) ).
cnf(refute_2_863,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_2_347,refute_2_862]) ).
cnf(refute_2_864,plain,
op1(e11,e10) != op1(e11,e11),
inference(canonicalize,[],[normalize_2_226]) ).
cnf(refute_2_865,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_2_227]) ).
cnf(refute_2_866,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_2_228]) ).
cnf(refute_2_867,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_2_591,refute_2_866]) ).
cnf(refute_2_868,plain,
( op1(e11,e10) != e11
| op1(e12,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_2_869,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_2_867,refute_2_868]) ).
cnf(refute_2_870,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_2_869,refute_2_865]) ).
cnf(refute_2_871,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_229]) ).
cnf(refute_2_872,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_2_230]) ).
cnf(refute_2_873,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_2_231]) ).
cnf(refute_2_874,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_232]) ).
cnf(refute_2_875,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_2_876,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_875]) ).
cnf(refute_2_877,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_2_876,refute_2_874]) ).
cnf(refute_2_878,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_2_879,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_2_878,refute_2_877]) ).
cnf(refute_2_880,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_2_873,refute_2_879]) ).
cnf(refute_2_881,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_880,refute_2_588]) ).
cnf(refute_2_882,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_883,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_2_881,refute_2_882]) ).
cnf(refute_2_884,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_2_883,refute_2_872]) ).
cnf(refute_2_885,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_2_886,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_193,refute_2_885]) ).
cnf(refute_2_887,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_886,refute_2_884]) ).
cnf(refute_2_888,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_553,refute_2_887]) ).
cnf(refute_2_889,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_890,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_2_888,refute_2_889]) ).
cnf(refute_2_891,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_2_890,refute_2_871]) ).
cnf(refute_2_892,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_2_233]) ).
cnf(refute_2_893,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_892,refute_2_499]) ).
cnf(refute_2_894,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_2_895,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_893,refute_2_894]) ).
cnf(refute_2_896,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_895,refute_2_891]) ).
cnf(refute_2_897,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_896]) ).
cnf(refute_2_898,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_2_899,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_620,refute_2_898]) ).
cnf(refute_2_900,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_2_899,refute_2_489]) ).
cnf(refute_2_901,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_2_234]) ).
cnf(refute_2_902,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_901,refute_2_613]) ).
cnf(refute_2_903,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_2_904,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_902,refute_2_903]) ).
cnf(refute_2_905,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_2_904,refute_2_900]) ).
cnf(refute_2_906,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_905]) ).
cnf(refute_2_907,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[0],$fot(e11)]]) ).
cnf(refute_2_908,plain,
( op1(e11,e11) != e10
| e11 = e10
| op1(e11,e10) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_906,refute_2_907]) ).
cnf(refute_2_909,plain,
( e11 = e10
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_897,refute_2_908]) ).
cnf(refute_2_910,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_2_909,refute_2_532]) ).
cnf(refute_2_911,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_912,plain,
( e11 != e11
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_2_910,refute_2_911]) ).
cnf(refute_2_913,plain,
( e11 != e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_2_912,refute_2_870]) ).
cnf(refute_2_914,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_913]) ).
cnf(refute_2_915,plain,
( e10 != op1(e11,e11)
| op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_2_916,plain,
( e10 != op1(e11,e11)
| op1(e11,e10) = op1(e11,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_2_914,refute_2_915]) ).
cnf(refute_2_917,plain,
( e10 != op1(e11,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_2_916,refute_2_864]) ).
cnf(refute_2_918,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_235]) ).
cnf(refute_2_919,plain,
( op1(e12,e11) != e10
| op1(e12,e13) != e10
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_920,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_2_888,refute_2_919]) ).
cnf(refute_2_921,plain,
( op1(e12,e11) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_2_920,refute_2_918]) ).
cnf(refute_2_922,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(canonicalize,[],[normalize_2_236]) ).
cnf(refute_2_923,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_237]) ).
cnf(refute_2_924,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_925,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_208,refute_2_924]) ).
cnf(refute_2_926,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_2_925,refute_2_923]) ).
cnf(refute_2_927,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_922,refute_2_926]) ).
cnf(refute_2_928,plain,
( e10 != e10
| op1(e12,e11) != e10
| op1(e12,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_2_929,plain,
( e10 != e10
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_2_927,refute_2_928]) ).
cnf(refute_2_930,plain,
( e10 != e10
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_2_929,refute_2_921]) ).
cnf(refute_2_931,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_930]) ).
cnf(refute_2_932,plain,
( e10 != e10
| e10 = op1(e11,e11)
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_931,refute_2_555]) ).
cnf(refute_2_933,plain,
( e10 != e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_2_932,refute_2_917]) ).
cnf(refute_2_934,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_933]) ).
cnf(refute_2_935,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| op1(e10,e11) != e10
| h4(e10) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_936,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(e10) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_934,refute_2_935]) ).
cnf(refute_2_937,plain,
( h4(e10) = op2(h4(e10),e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) )],[refute_2_863,refute_2_936]) ).
cnf(refute_2_938,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_2_238]) ).
cnf(refute_2_939,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_2_940,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_939]) ).
cnf(refute_2_941,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_2_940,refute_2_938]) ).
cnf(refute_2_942,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_2_943,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_836,refute_2_942]) ).
cnf(refute_2_944,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_2_943,refute_2_941]) ).
cnf(refute_2_945,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_2_239]) ).
cnf(refute_2_946,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_2_947,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_946]) ).
cnf(refute_2_948,plain,
( h4(e13) = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_945,refute_2_947]) ).
cnf(refute_2_949,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_2_950,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_949]) ).
cnf(refute_2_951,plain,
( e21 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_948,refute_2_950]) ).
cnf(refute_2_952,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_2_953,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_952]) ).
cnf(refute_2_954,plain,
( e21 = e20
| h4(e10) = e20
| op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_2_951,refute_2_953]) ).
cnf(refute_2_955,plain,
( h4(e10) = e20
| op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_954,refute_2_331]) ).
cnf(refute_2_956,plain,
( e22 = e20
| h4(e10) = e20
| h4(e10) = e22
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_2_955,refute_2_703]) ).
cnf(refute_2_957,plain,
( h4(e10) = e20
| h4(e10) = e22
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_956,refute_2_707]) ).
cnf(refute_2_958,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_2_959,plain,
( op2(e20,e23) != e23
| e20 = e23
| h4(e10) = e20
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_957,refute_2_958]) ).
cnf(refute_2_960,plain,
( e20 = e23
| h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_959]) ).
cnf(refute_2_961,plain,
e20 != e23,
inference(canonicalize,[],[normalize_2_240]) ).
cnf(refute_2_962,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_960,refute_2_961]) ).
cnf(refute_2_963,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_2_964,plain,
( op2(e20,e23) != e23
| e22 = e23
| h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_962,refute_2_963]) ).
cnf(refute_2_965,plain,
( e22 = e23
| h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_964]) ).
cnf(refute_2_966,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_965,refute_2_19]) ).
cnf(refute_2_967,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_2_968,plain,
( e23 != e23
| e23 = h4(e10)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_966,refute_2_967]) ).
cnf(refute_2_969,plain,
( e23 != e23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_2_968,refute_2_944]) ).
cnf(refute_2_970,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_969]) ).
cnf(refute_2_971,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_2_241]) ).
cnf(refute_2_972,plain,
op1(e10,e10) != op1(e11,e10),
inference(canonicalize,[],[normalize_2_242]) ).
cnf(refute_2_973,plain,
( op1(e10,e10) != e10
| op1(e11,e10) != e10
| op1(e10,e10) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e11,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_2_974,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e11,e10)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_2_914,refute_2_973]) ).
cnf(refute_2_975,plain,
( op1(e10,e10) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_2_974,refute_2_972]) ).
cnf(refute_2_976,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_243]) ).
cnf(refute_2_977,plain,
( op1(e10,e13) != e10
| op1(e12,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_978,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_2_888,refute_2_977]) ).
cnf(refute_2_979,plain,
( op1(e10,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_2_978,refute_2_976]) ).
cnf(refute_2_980,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_2_244]) ).
cnf(refute_2_981,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_980,refute_2_211]) ).
cnf(refute_2_982,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_983,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_981,refute_2_982]) ).
cnf(refute_2_984,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_983,refute_2_979]) ).
cnf(refute_2_985,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_984]) ).
cnf(refute_2_986,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_245]) ).
cnf(refute_2_987,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_988,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_615,refute_2_987]) ).
cnf(refute_2_989,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_2_988,refute_2_986]) ).
cnf(refute_2_990,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_2_246]) ).
cnf(refute_2_991,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_992,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_991]) ).
cnf(refute_2_993,plain,
( e11 = e12
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_990,refute_2_992]) ).
cnf(refute_2_994,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_993,refute_2_380]) ).
cnf(refute_2_995,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_2_996,plain,
( op1(e12,e13) != e10
| e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_2_994,refute_2_995]) ).
cnf(refute_2_997,plain,
( e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_2_888,refute_2_996]) ).
cnf(refute_2_998,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_999,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_998,refute_2_604]) ).
cnf(refute_2_1000,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_997,refute_2_999]) ).
cnf(refute_2_1001,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_1002,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_1000,refute_2_1001]) ).
cnf(refute_2_1003,plain,
( e12 != e12
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_2_1002,refute_2_989]) ).
cnf(refute_2_1004,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1003]) ).
cnf(refute_2_1005,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_247]) ).
cnf(refute_2_1006,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_1005,refute_2_196]) ).
cnf(refute_2_1007,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_2_1008,plain,
( op1(e10,e13) != e12
| e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_1006,refute_2_1007]) ).
cnf(refute_2_1009,plain,
( e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_1004,refute_2_1008]) ).
cnf(refute_2_1010,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_1009,refute_2_453]) ).
cnf(refute_2_1011,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_2_1012,plain,
( op1(e10,e11) != e10
| e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_1010,refute_2_1011]) ).
cnf(refute_2_1013,plain,
( e13 = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_985,refute_2_1012]) ).
cnf(refute_2_1014,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_2_1013,refute_2_525]) ).
cnf(refute_2_1015,plain,
( e10 != e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_1016,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_1014,refute_2_1015]) ).
cnf(refute_2_1017,plain,
( e10 != e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_1016,refute_2_975]) ).
cnf(refute_2_1018,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_1017]) ).
cnf(refute_2_1019,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op1(e10,e10) != e13
| h4(e13) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_1020,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_1018,refute_2_1019]) ).
cnf(refute_2_1021,plain,
( h4(e13) = op2(h4(e10),h4(e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_971,refute_2_1020]) ).
cnf(refute_2_1022,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),h4(e10))
| e21 = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),h4(e10))) ),[0],$fot(e21)]]) ).
cnf(refute_2_1023,plain,
( h4(e13) != op2(h4(e10),h4(e10))
| e21 = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_1022]) ).
cnf(refute_2_1024,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(op2(h4(e10),h4(e10))))]]) ).
cnf(refute_2_1025,plain,
op2(h4(e10),h4(e10)) = h4(op1(e10,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_971,refute_2_1024]) ).
cnf(refute_2_1026,plain,
( e21 != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| e21 = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e10))) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_2_1027,plain,
( e21 != op2(h4(e10),h4(e10))
| e21 = h4(op1(e10,e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h4(op1(e10,e10))) )],[refute_2_1025,refute_2_1026]) ).
cnf(refute_2_1028,plain,
( h4(e13) != op2(h4(e10),h4(e10))
| e21 = h4(op1(e10,e10)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),h4(e10))) )],[refute_2_1023,refute_2_1027]) ).
cnf(refute_2_1029,plain,
( e21 = h4(op1(e10,e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),h4(e10))) )],[refute_2_1021,refute_2_1028]) ).
cnf(refute_2_1030,plain,
( h4(e10) != e22
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_2_1031,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_966,refute_2_1030]) ).
cnf(refute_2_1032,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_971,refute_2_1031]) ).
cnf(refute_2_1033,plain,
( h4(e10) != e22
| h4(op1(e10,e10)) != op2(e22,h4(e10))
| h4(op1(e10,e10)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_1034,plain,
( h4(op1(e10,e10)) != op2(e22,h4(e10))
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_966,refute_2_1033]) ).
cnf(refute_2_1035,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) )],[refute_2_1032,refute_2_1034]) ).
cnf(refute_2_1036,plain,
( h4(op1(e10,e10)) != op2(e22,e22)
| op2(e22,e22) != e23
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_2_1037,plain,
( h4(op1(e10,e10)) != op2(e22,e22)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_1036]) ).
cnf(refute_2_1038,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,e22)) )],[refute_2_1035,refute_2_1037]) ).
cnf(refute_2_1039,plain,
( e21 != h4(op1(e10,e10))
| h4(op1(e10,e10)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_2_1040,plain,
( e21 != h4(op1(e10,e10))
| e21 = e23
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_2_1038,refute_2_1039]) ).
cnf(refute_2_1041,plain,
( e21 = e23
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e10))) )],[refute_2_1029,refute_2_1040]) ).
cnf(refute_2_1042,plain,
( h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_1041,refute_2_49]) ).
cnf(refute_2_1043,plain,
( h4(e10) != e22
| h4(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_1044,plain,
( h4(e10) != e22
| e23 = e22
| h4(e10) = e20
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1042,refute_2_1043]) ).
cnf(refute_2_1045,plain,
( e23 = e22
| h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_970,refute_2_1044]) ).
cnf(refute_2_1046,plain,
( h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1045,refute_2_21]) ).
cnf(refute_2_1047,plain,
( h4(e10) != e20
| h4(e10) != op2(h4(e10),e23)
| h4(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_1048,plain,
( h4(e10) != op2(h4(e10),e23)
| h4(e10) = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_1046,refute_2_1047]) ).
cnf(refute_2_1049,plain,
( h4(e10) = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),e23)) )],[refute_2_937,refute_2_1048]) ).
cnf(refute_2_1050,plain,
( h4(e10) != op2(e20,e23)
| op2(e20,e23) = h4(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_1051,plain,
h4(e10) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_2_1050,refute_2_941]) ).
cnf(refute_2_1052,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_2_1049,refute_2_1051]) ).
cnf(refute_2_1053,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1052,refute_2_804]) ).
cnf(refute_2_1054,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_2_1055,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_1053,refute_2_1054]) ).
cnf(refute_2_1056,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_2_1055,refute_2_801]) ).
cnf(refute_2_1057,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_1058,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_300,refute_2_1057]) ).
cnf(refute_2_1059,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_1058,refute_2_275]) ).
cnf(refute_2_1060,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_2_248]) ).
cnf(refute_2_1061,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_1062,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_1061]) ).
cnf(refute_2_1063,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_1060,refute_2_1062]) ).
cnf(refute_2_1064,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_249]) ).
cnf(refute_2_1065,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_1066,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_8,refute_2_1065]) ).
cnf(refute_2_1067,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_1066,refute_2_1064]) ).
cnf(refute_2_1068,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_2_1069,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_45,refute_2_1068]) ).
cnf(refute_2_1070,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_2_1069,refute_2_1067]) ).
cnf(refute_2_1071,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_1063,refute_2_1070]) ).
cnf(refute_2_1072,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_1073,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_1071,refute_2_1072]) ).
cnf(refute_2_1074,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_1073,refute_2_1059]) ).
cnf(refute_2_1075,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1074]) ).
cnf(refute_2_1076,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_1075,refute_2_571]) ).
cnf(refute_2_1077,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_2_1076,refute_2_730]) ).
cnf(refute_2_1078,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_2_250]) ).
cnf(refute_2_1079,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_2_1080,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_2_1081,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_2_1079,refute_2_1080]) ).
cnf(refute_2_1082,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_1081]) ).
cnf(refute_2_1083,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_2_1084,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_1085,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_2_1083,refute_2_1084]) ).
cnf(refute_2_1086,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_1085]) ).
cnf(refute_2_1087,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_2_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_2_1088,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_2_1086,refute_2_1087]) ).
cnf(refute_2_1089,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_2_1082,refute_2_1088]) ).
cnf(refute_2_1090,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_2_1091,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_2_1089,refute_2_1090]) ).
cnf(refute_2_1092,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_2_1078,refute_2_1091]) ).
cnf(refute_2_1093,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_1094,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_860,refute_2_1093]) ).
cnf(refute_2_1095,plain,
( h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_2_103,refute_2_1094]) ).
cnf(refute_2_1096,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_1097,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_860,refute_2_1096]) ).
cnf(refute_2_1098,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_2_103,refute_2_1097]) ).
cnf(refute_2_1099,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_1100,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_860,refute_2_1099]) ).
cnf(refute_2_1101,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_2_1098,refute_2_1100]) ).
cnf(refute_2_1102,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_1103,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_1102]) ).
cnf(refute_2_1104,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_2_1101,refute_2_1103]) ).
cnf(refute_2_1105,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_2_1106,plain,
( h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_2_1104,refute_2_1105]) ).
cnf(refute_2_1107,plain,
( e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) )],[refute_2_1095,refute_2_1106]) ).
cnf(refute_2_1108,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_2_251]) ).
cnf(refute_2_1109,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_1108,refute_2_75]) ).
cnf(refute_2_1110,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_2_1109,refute_2_740]) ).
cnf(refute_2_1111,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_2_1112,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_1111]) ).
cnf(refute_2_1113,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_2_1110,refute_2_1112]) ).
cnf(refute_2_1114,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_1113,refute_2_947]) ).
cnf(refute_2_1115,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_1116,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_1115,refute_2_961]) ).
cnf(refute_2_1117,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_1114,refute_2_1116]) ).
cnf(refute_2_1118,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_1117,refute_2_950]) ).
cnf(refute_2_1119,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_1118,refute_2_331]) ).
cnf(refute_2_1120,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_2_252]) ).
cnf(refute_2_1121,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_2_1120,refute_2_829]) ).
cnf(refute_2_1122,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_2_1121,refute_2_835]) ).
cnf(refute_2_1123,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_2_1124,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_2_1122,refute_2_1123]) ).
cnf(refute_2_1125,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_2_1124,refute_2_1119]) ).
cnf(refute_2_1126,plain,
( h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1125]) ).
cnf(refute_2_1127,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_1128,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_1126,refute_2_1127]) ).
cnf(refute_2_1129,plain,
( e21 = op2(e20,e23)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_2_1107,refute_2_1128]) ).
cnf(refute_2_1130,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_1131,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_1130,refute_2_1070]) ).
cnf(refute_2_1132,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_2_1129,refute_2_1131]) ).
cnf(refute_2_1133,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_1134,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_1132,refute_2_1133]) ).
cnf(refute_2_1135,plain,
( h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_2_1092,refute_2_1134]) ).
cnf(refute_2_1136,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_1137,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_1132,refute_2_1136]) ).
cnf(refute_2_1138,plain,
( h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_2_1092,refute_2_1137]) ).
cnf(refute_2_1139,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_2_253]) ).
cnf(refute_2_1140,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_2_1141,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_1142,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_2_1140,refute_2_1141]) ).
cnf(refute_2_1143,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_1142]) ).
cnf(refute_2_1144,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_2_1145,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_2_1143,refute_2_1144]) ).
cnf(refute_2_1146,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_2_1139,refute_2_1145]) ).
cnf(refute_2_1147,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h1(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_2_1148,plain,
op2(h1(e13),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_2_1146,refute_2_1147]) ).
cnf(refute_2_1149,plain,
( h1(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h1(e10)
| h1(e11) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e10)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_2_1150,plain,
( h1(e11) != op2(h1(e13),e20)
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e10)) )],[refute_2_1148,refute_2_1149]) ).
cnf(refute_2_1151,plain,
( h1(e11) = h1(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e20)) )],[refute_2_1138,refute_2_1150]) ).
cnf(refute_2_1152,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_1153,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_1132,refute_2_1152]) ).
cnf(refute_2_1154,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_2_1146,refute_2_1153]) ).
cnf(refute_2_1155,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_2_1156,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_65,refute_2_1155]) ).
cnf(refute_2_1157,plain,
( h1(e10) = h1(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_2_1154,refute_2_1156]) ).
cnf(refute_2_1158,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_2_1159,plain,
( h1(e13) = h1(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_2_1157,refute_2_1158]) ).
cnf(refute_2_1160,plain,
( h1(e13) != e20
| h1(e13) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_2_1161,plain,
( h1(e13) != e20
| h1(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_2_1159,refute_2_1160]) ).
cnf(refute_2_1162,plain,
( h1(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_1132,refute_2_1161]) ).
cnf(refute_2_1163,plain,
( h1(e10) != e20
| h1(e11) != h1(e10)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_2_1164,plain,
( h1(e11) != h1(e10)
| h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_2_1162,refute_2_1163]) ).
cnf(refute_2_1165,plain,
( h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_2_1151,refute_2_1164]) ).
cnf(refute_2_1166,plain,
( h1(e11) != e20
| h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_2_1167,plain,
( h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_1165,refute_2_1166]) ).
cnf(refute_2_1168,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_2_1135,refute_2_1167]) ).
cnf(refute_2_1169,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_2_254]) ).
cnf(refute_2_1170,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_1171,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_1170]) ).
cnf(refute_2_1172,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_2_1171,refute_2_1169]) ).
cnf(refute_2_1173,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_2_1174,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_260,refute_2_1173]) ).
cnf(refute_2_1175,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_2_1174,refute_2_1172]) ).
cnf(refute_2_1176,plain,
( e22 != h4(e10)
| op2(e21,e22) = e21
| op2(e21,e22) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_300,refute_2_676]) ).
cnf(refute_2_1177,plain,
( e22 != h4(e10)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_2_1176,refute_2_675]) ).
cnf(refute_2_1178,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_966,refute_2_713]) ).
cnf(refute_2_1179,plain,
( e22 != e22
| h4(e10) = e20
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_2_1178,refute_2_1177]) ).
cnf(refute_2_1180,plain,
( h4(e10) = e20
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_1179]) ).
cnf(refute_2_1181,plain,
( e21 != e21
| h4(e10) = e20
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1180,refute_2_791]) ).
cnf(refute_2_1182,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1181,refute_2_783]) ).
cnf(refute_2_1183,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1182]) ).
cnf(refute_2_1184,plain,
( h2(e13) != e23
| h4(e10) != e23
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_2_1185,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h2(e13) = h4(e10)
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1183,refute_2_1184]) ).
cnf(refute_2_1186,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_2_1185,refute_2_1175]) ).
cnf(refute_2_1187,plain,
( h2(e13) != e22
| h2(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_1188,plain,
( h2(e13) != e23
| e23 = e22
| h1(e13) = e22
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1186,refute_2_1187]) ).
cnf(refute_2_1189,plain,
( h2(e13) != e23
| h1(e13) = e22
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1188,refute_2_21]) ).
cnf(refute_2_1190,plain,
( e23 != e23
| h1(e13) = e22
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_859,refute_2_1189]) ).
cnf(refute_2_1191,plain,
( h1(e13) = e22
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1190]) ).
cnf(refute_2_1192,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_2_255]) ).
cnf(refute_2_1193,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_2_256]) ).
cnf(refute_2_1194,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_257]) ).
cnf(refute_2_1195,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_2_1196,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_166,refute_2_1195]) ).
cnf(refute_2_1197,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_2_1196,refute_2_1194]) ).
cnf(refute_2_1198,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_2_1193,refute_2_1197]) ).
cnf(refute_2_1199,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_2_1198,refute_2_411]) ).
cnf(refute_2_1200,plain,
( op2(e20,e21) != e22
| op2(e23,e21) != e22
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_2_1201,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_2_1199,refute_2_1200]) ).
cnf(refute_2_1202,plain,
( op2(e20,e21) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_2_1201,refute_2_1192]) ).
cnf(refute_2_1203,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_300,refute_2_656]) ).
cnf(refute_2_1204,plain,
( op2(e20,e22) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_1203,refute_2_275]) ).
cnf(refute_2_1205,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_2_258]) ).
cnf(refute_2_1206,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_1205,refute_2_776]) ).
cnf(refute_2_1207,plain,
( e23 = e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_1206,refute_2_710]) ).
cnf(refute_2_1208,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1207,refute_2_21]) ).
cnf(refute_2_1209,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_1208,refute_2_659]) ).
cnf(refute_2_1210,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_1209,refute_2_1204]) ).
cnf(refute_2_1211,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_1210]) ).
cnf(refute_2_1212,plain,
( e21 != e21
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1211,refute_2_791]) ).
cnf(refute_2_1213,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1212,refute_2_783]) ).
cnf(refute_2_1214,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1213]) ).
cnf(refute_2_1215,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_2_1216,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_1214,refute_2_1215]) ).
cnf(refute_2_1217,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_1216,refute_2_1202]) ).
cnf(refute_2_1218,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_1217]) ).
cnf(refute_2_1219,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_2_1220,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h2(e13) = op2(e23,e21)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_1218,refute_2_1219]) ).
cnf(refute_2_1221,plain,
( h2(e13) != e23
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_2_1220,refute_2_393]) ).
cnf(refute_2_1222,plain,
( h2(e13) != e23
| e23 = e22
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1221,refute_2_1187]) ).
cnf(refute_2_1223,plain,
( h2(e13) != e23
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1222,refute_2_21]) ).
cnf(refute_2_1224,plain,
( e23 != e23
| h1(e13) = e22
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_859,refute_2_1223]) ).
cnf(refute_2_1225,plain,
( h1(e13) = e22
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1224]) ).
cnf(refute_2_1226,plain,
( h4(e10) != e20
| h4(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_2_1227,plain,
( h4(e10) != e20
| e23 = e20
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1225,refute_2_1226]) ).
cnf(refute_2_1228,plain,
( e23 = e20
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_1191,refute_2_1227]) ).
cnf(refute_2_1229,plain,
( h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_1228,refute_2_1116]) ).
cnf(refute_2_1230,plain,
( e20 != op2(e20,h1(e13))
| h1(e13) != e22
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e20,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_1231,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_1229,refute_2_1230]) ).
cnf(refute_2_1232,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_2_1168,refute_2_1231]) ).
cnf(refute_2_1233,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_2_1234,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_1233,refute_2_169]) ).
cnf(refute_2_1235,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_2_1232,refute_2_1234]) ).
cnf(refute_2_1236,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_1077]) ).
cnf(refute_2_1237,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_721,refute_2_1236]) ).
cnf(refute_2_1238,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_1239,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_1237,refute_2_1238]) ).
cnf(refute_2_1240,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_1239,refute_2_1056]) ).
cnf(refute_2_1241,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_2_1240,refute_2_800]) ).
cnf(refute_2_1242,plain,
( h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1241]) ).
cnf(refute_2_1243,plain,
( e22 != e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1242,refute_2_749]) ).
cnf(refute_2_1244,plain,
( e22 != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1243,refute_2_769]) ).
cnf(refute_2_1245,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_1244]) ).
cnf(refute_2_1246,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_1245]) ).
cnf(refute_2_1247,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_721,refute_2_1246]) ).
cnf(refute_2_1248,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1247,refute_2_628]) ).
cnf(refute_2_1249,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_1250,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1248,refute_2_1249]) ).
cnf(refute_2_1251,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_2_1250,refute_2_0]) ).
cnf(refute_2_1252,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_627,refute_2_177]) ).
cnf(refute_2_1253,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1247,refute_2_1252]) ).
cnf(refute_2_1254,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_2_1255,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_1253,refute_2_1254]) ).
cnf(refute_2_1256,plain,
( e21 != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_1255,refute_2_1251]) ).
cnf(refute_2_1257,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1256]) ).
cnf(refute_2_1258,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_2_1257,refute_2_614]) ).
cnf(refute_2_1259,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_608]) ).
cnf(refute_2_1260,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_2_259]) ).
cnf(refute_2_1261,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_2_270]) ).
cnf(refute_2_1262,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_2_272]) ).
cnf(refute_2_1263,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_2_1262,refute_2_879]) ).
cnf(refute_2_1264,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_2_274]) ).
cnf(refute_2_1265,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_2_275]) ).
cnf(refute_2_1266,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_2_1267,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_1265,refute_2_1266]) ).
cnf(refute_2_1268,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_2_1267,refute_2_1264]) ).
cnf(refute_2_1269,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_2_1270,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_1269]) ).
cnf(refute_2_1271,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_1270,refute_2_1268]) ).
cnf(refute_2_1272,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1271]) ).
cnf(refute_2_1273,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_2_1272,refute_2_1263]) ).
cnf(refute_2_1274,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_2_1261,refute_2_1273]) ).
cnf(refute_2_1275,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_2_277]) ).
cnf(refute_2_1276,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_2_1275,refute_2_602]) ).
cnf(refute_2_1277,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_1276,refute_2_604]) ).
cnf(refute_2_1278,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_2_1274,refute_2_1277]) ).
cnf(refute_2_1279,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_2_278]) ).
cnf(refute_2_1280,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_1279,refute_2_926]) ).
cnf(refute_2_1281,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_279]) ).
cnf(refute_2_1282,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_1283,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_372,refute_2_1282]) ).
cnf(refute_2_1284,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_2_1283,refute_2_1281]) ).
cnf(refute_2_1285,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_2_1280,refute_2_1284]) ).
cnf(refute_2_1286,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e12
| op1(e13,op1(e13,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_1285,refute_2_1266]) ).
cnf(refute_2_1287,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_2_1286,refute_2_1278]) ).
cnf(refute_2_1288,plain,
( e11 != e11
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_1270,refute_2_1287]) ).
cnf(refute_2_1289,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1288]) ).
cnf(refute_2_1290,plain,
( op1(e10,e11) != e12
| op1(e13,e11) != e12
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_2_1291,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_2_1289,refute_2_1290]) ).
cnf(refute_2_1292,plain,
( op1(e10,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_2_1291,refute_2_1260]) ).
cnf(refute_2_1293,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_2_280]) ).
cnf(refute_2_1294,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_2_1293,refute_2_1273]) ).
cnf(refute_2_1295,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_2_1294,refute_2_1277]) ).
cnf(refute_2_1296,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_2_281]) ).
cnf(refute_2_1297,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_2_1298,plain,
( op1(e10,e13) != e13
| e12 = e13
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_1296,refute_2_1297]) ).
cnf(refute_2_1299,plain,
( e12 = e13
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_1295,refute_2_1298]) ).
cnf(refute_2_1300,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_1299,refute_2_451]) ).
cnf(refute_2_1301,plain,
( op1(e11,e11) != e12
| op1(e13,e11) != e12
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_2_1302,plain,
( op1(e11,e11) != e12
| op1(e11,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_2_1289,refute_2_1301]) ).
cnf(refute_2_1303,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_2_1302,refute_2_534]) ).
cnf(refute_2_1304,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_2_282]) ).
cnf(refute_2_1305,plain,
( op1(e11,e12) != e11
| e13 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_2_1304,refute_2_449]) ).
cnf(refute_2_1306,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_1305,refute_2_453]) ).
cnf(refute_2_1307,plain,
( op1(e11,e12) != e11
| e11 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_1306,refute_2_992]) ).
cnf(refute_2_1308,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_1307,refute_2_380]) ).
cnf(refute_2_1309,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_618,refute_2_503]) ).
cnf(refute_2_1310,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1309]) ).
cnf(refute_2_1311,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_1312,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1310,refute_2_1311]) ).
cnf(refute_2_1313,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1312,refute_2_1308]) ).
cnf(refute_2_1314,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1313]) ).
cnf(refute_2_1315,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1314,refute_2_563]) ).
cnf(refute_2_1316,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1315,refute_2_1303]) ).
cnf(refute_2_1317,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1316]) ).
cnf(refute_2_1318,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_1319,plain,
( op1(e10,e12) != e12
| e11 = e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1317,refute_2_1318]) ).
cnf(refute_2_1320,plain,
( e11 = e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_1300,refute_2_1319]) ).
cnf(refute_2_1321,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_1320,refute_2_380]) ).
cnf(refute_2_1322,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_1321,refute_2_420]) ).
cnf(refute_2_1323,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_1322,refute_2_1292]) ).
cnf(refute_2_1324,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1323]) ).
cnf(refute_2_1325,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_283]) ).
cnf(refute_2_1326,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_284]) ).
cnf(refute_2_1327,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_1328,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_1295,refute_2_1327]) ).
cnf(refute_2_1329,plain,
( e13 != op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_2_1328,refute_2_1326]) ).
cnf(refute_2_1330,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_2_285]) ).
cnf(refute_2_1331,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_1330,refute_2_613]) ).
cnf(refute_2_1332,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_2_1333,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_2_1331,refute_2_1332]) ).
cnf(refute_2_1334,plain,
( e13 != e13
| op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_2_1333,refute_2_1329]) ).
cnf(refute_2_1335,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_553,refute_2_1334]) ).
cnf(refute_2_1336,plain,
( op1(e11,e12) != e12
| op1(e11,e13) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_1337,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13)
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_1335,refute_2_1336]) ).
cnf(refute_2_1338,plain,
( op1(e11,e12) != e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_2_1337,refute_2_986]) ).
cnf(refute_2_1339,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_2_1340,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_500,refute_2_1339]) ).
cnf(refute_2_1341,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_2_1340,refute_2_489]) ).
cnf(refute_2_1342,plain,
( op1(e10,e10) != e12
| op1(e10,e12) != e12
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_2_1343,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e12)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_212,refute_2_1342]) ).
cnf(refute_2_1344,plain,
( op1(e10,e10) != e12
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_1343,refute_2_574]) ).
cnf(refute_2_1345,plain,
( e12 != e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1323,refute_2_1344]) ).
cnf(refute_2_1346,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1345]) ).
cnf(refute_2_1347,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_2_1348,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1346,refute_2_1347]) ).
cnf(refute_2_1349,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1348,refute_2_1341]) ).
cnf(refute_2_1350,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1349]) ).
cnf(refute_2_1351,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_1352,plain,
( e12 != e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_1350,refute_2_1351]) ).
cnf(refute_2_1353,plain,
( e12 != e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_1352,refute_2_1338]) ).
cnf(refute_2_1354,plain,
( op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1353]) ).
cnf(refute_2_1355,plain,
( op1(e11,e11) != e10
| op1(e11,e13) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_1356,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_1354,refute_2_1355]) ).
cnf(refute_2_1357,plain,
( op1(e11,e11) != e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_2_1356,refute_2_1325]) ).
cnf(refute_2_1358,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_2_286]) ).
cnf(refute_2_1359,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_2_1358,refute_2_1273]) ).
cnf(refute_2_1360,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_2_1359,refute_2_1277]) ).
cnf(refute_2_1361,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_1362,plain,
( e13 != e13
| op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_2_1360,refute_2_1361]) ).
cnf(refute_2_1363,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_2_1362,refute_2_533]) ).
cnf(refute_2_1364,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_553,refute_2_1363]) ).
cnf(refute_2_1365,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_2_1366,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_1364,refute_2_1365]) ).
cnf(refute_2_1367,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_1366,refute_2_1357]) ).
cnf(refute_2_1368,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_1367]) ).
cnf(refute_2_1369,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e10)]]) ).
cnf(refute_2_1370,plain,
( op1(e10,e10) != e12
| e10 = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_1368,refute_2_1369]) ).
cnf(refute_2_1371,plain,
( e10 = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1324,refute_2_1370]) ).
cnf(refute_2_1372,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_1371,refute_2_604]) ).
cnf(refute_2_1373,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1259]) ).
cnf(refute_2_1374,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_1373,refute_2_1342]) ).
cnf(refute_2_1375,plain,
( op1(e10,e10) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_1374,refute_2_574]) ).
cnf(refute_2_1376,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_509,refute_2_597]) ).
cnf(refute_2_1377,plain,
( e11 != e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_507,refute_2_1311]) ).
cnf(refute_2_1378,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1377,refute_2_1308]) ).
cnf(refute_2_1379,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1378]) ).
cnf(refute_2_1380,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1379,refute_2_563]) ).
cnf(refute_2_1381,plain,
( e12 != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1380,refute_2_1376]) ).
cnf(refute_2_1382,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1381]) ).
cnf(refute_2_1383,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_1382]) ).
cnf(refute_2_1384,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1383]) ).
cnf(refute_2_1385,plain,
( e12 != e12
| op1(e10,e10) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_2_1386,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1384,refute_2_1385]) ).
cnf(refute_2_1387,plain,
( e12 != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1386,refute_2_1375]) ).
cnf(refute_2_1388,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1387]) ).
cnf(refute_2_1389,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_1388,refute_2_573]) ).
cnf(refute_2_1390,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_2_287]) ).
cnf(refute_2_1391,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_1392,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_1391]) ).
cnf(refute_2_1393,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_2_1392,refute_2_1390]) ).
cnf(refute_2_1394,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_2_288]) ).
cnf(refute_2_1395,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_1394,refute_2_75]) ).
cnf(refute_2_1396,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_1395,refute_2_169]) ).
cnf(refute_2_1397,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e23)]]) ).
cnf(refute_2_1398,plain,
( op2(e20,e23) != e20
| e23 = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_1397]) ).
cnf(refute_2_1399,plain,
( e23 = e20
| h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_1396,refute_2_1398]) ).
cnf(refute_2_1400,plain,
( h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_1399,refute_2_1116]) ).
cnf(refute_2_1401,plain,
( e20 != h2(e13)
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_1402,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_1400,refute_2_1401]) ).
cnf(refute_2_1403,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_2_1402,refute_2_1393]) ).
cnf(refute_2_1404,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_2_289]) ).
cnf(refute_2_1405,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_1404,refute_2_10]) ).
cnf(refute_2_1406,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_290]) ).
cnf(refute_2_1407,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_2_1408,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_15,refute_2_1407]) ).
cnf(refute_2_1409,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_2_1408,refute_2_1406]) ).
cnf(refute_2_1410,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_2_1411,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_2_1410,refute_2_1409]) ).
cnf(refute_2_1412,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_2_1405,refute_2_1411]) ).
cnf(refute_2_1413,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_1412,refute_2_47]) ).
cnf(refute_2_1414,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_1413,refute_2_49]) ).
cnf(refute_2_1415,plain,
( h2(e13) != e23
| h2(e13) = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_1414,refute_2_1219]) ).
cnf(refute_2_1416,plain,
( h2(e13) != e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_2_1415,refute_2_393]) ).
cnf(refute_2_1417,plain,
( e23 != e23
| h2(e13) != e23
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_1418,plain,
( e23 != e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_748,refute_2_1417]) ).
cnf(refute_2_1419,plain,
( e23 != e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_1418,refute_2_1416]) ).
cnf(refute_2_1420,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_2_1419,refute_2_1119]) ).
cnf(refute_2_1421,plain,
( h1(e13) = e20
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1420]) ).
cnf(refute_2_1422,plain,
( e20 != e20
| h2(e13) != e20
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_2_1423,plain,
( e20 != e20
| e20 = h2(e13)
| h1(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_1421,refute_2_1422]) ).
cnf(refute_2_1424,plain,
( e20 != e20
| h1(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_2_1423,refute_2_1403]) ).
cnf(refute_2_1425,plain,
( h1(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_86,refute_2_1424]) ).
cnf(refute_2_1426,plain,
( h2(e13) != e23
| h1(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1425,refute_2_1184]) ).
cnf(refute_2_1427,plain,
( h2(e13) != e23
| h1(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_2_1426,refute_2_1175]) ).
cnf(refute_2_1428,plain,
( h2(e13) != e21
| h2(e13) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e23)]]) ).
cnf(refute_2_1429,plain,
( h2(e13) != e23
| e23 = e21
| h1(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_1427,refute_2_1428]) ).
cnf(refute_2_1430,plain,
( h2(e13) != e23
| e23 = e21
| e23 = e22
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1429,refute_2_1187]) ).
cnf(refute_2_1431,plain,
( h2(e13) != e23
| e23 = e22
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_1430,refute_2_639]) ).
cnf(refute_2_1432,plain,
( h2(e13) != e23
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1431,refute_2_21]) ).
cnf(refute_2_1433,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_2_291]) ).
cnf(refute_2_1434,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_2_1435,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_54,refute_2_1434]) ).
cnf(refute_2_1436,plain,
h2(e13) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_2_1435,refute_2_1433]) ).
cnf(refute_2_1437,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_2_292]) ).
cnf(refute_2_1438,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_2_293]) ).
cnf(refute_2_1439,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_2_596,refute_2_1438]) ).
cnf(refute_2_1440,plain,
( ~ definitionFOFtoCNF_8
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_1439]) ).
cnf(refute_2_1441,plain,
( op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1440]) ).
cnf(refute_2_1442,plain,
( op1(e10,e11) != e11
| op1(e12,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_2_1443,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_2_1441,refute_2_1442]) ).
cnf(refute_2_1444,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_2_1443,refute_2_1437]) ).
cnf(refute_2_1445,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_376,refute_2_1347]) ).
cnf(refute_2_1446,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1445,refute_2_1341]) ).
cnf(refute_2_1447,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1446]) ).
cnf(refute_2_1448,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_1447,refute_2_606]) ).
cnf(refute_2_1449,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_1448,refute_2_597]) ).
cnf(refute_2_1450,plain,
( ~ definitionFOFtoCNF_9
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1449]) ).
cnf(refute_2_1451,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_1450]) ).
cnf(refute_2_1452,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_2_1453,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_1451,refute_2_1452]) ).
cnf(refute_2_1454,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_1453,refute_2_1444]) ).
cnf(refute_2_1455,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1454]) ).
cnf(refute_2_1456,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_2_294]) ).
cnf(refute_2_1457,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_2_596,refute_2_1456]) ).
cnf(refute_2_1458,plain,
( ~ definitionFOFtoCNF_8
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_1457]) ).
cnf(refute_2_1459,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1458]) ).
cnf(refute_2_1460,plain,
( op1(e11,e11) != e12
| op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1459,refute_2_508]) ).
cnf(refute_2_1461,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_1460,refute_2_597]) ).
cnf(refute_2_1462,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_2_1372,refute_2_1461]) ).
cnf(refute_2_1463,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_2_1258,refute_2_1462]) ).
cnf(refute_2_1464,plain,
( e21 != op2(h4(e10),e23)
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_670,refute_2_239]) ).
cnf(refute_2_1465,plain,
( e21 != op2(e23,e23)
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e23)) )],[refute_2_717,refute_2_1464]) ).
cnf(refute_2_1466,plain,
( e21 != e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_442,refute_2_1465]) ).
cnf(refute_2_1467,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1466]) ).
cnf(refute_2_1468,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_1467,refute_2_504]) ).
cnf(refute_2_1469,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_1468,refute_2_503]) ).
cnf(refute_2_1470,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1469]) ).
cnf(refute_2_1471,plain,
( e11 != e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1470,refute_2_1311]) ).
cnf(refute_2_1472,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1471,refute_2_1308]) ).
cnf(refute_2_1473,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1472]) ).
cnf(refute_2_1474,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1473,refute_2_563]) ).
cnf(refute_2_1475,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1474,refute_2_1463]) ).
cnf(refute_2_1476,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1475]) ).
cnf(refute_2_1477,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_2_1478,plain,
( op1(e10,e10) != e11
| e12 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1476,refute_2_1477]) ).
cnf(refute_2_1479,plain,
( e12 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_1455,refute_2_1478]) ).
cnf(refute_2_1480,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_1479,refute_2_382]) ).
cnf(refute_2_1481,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_2_1480,refute_2_631]) ).
cnf(refute_2_1482,plain,
( ~ definitionFOFtoCNF_23
| op2(e22,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_1481,refute_2_803]) ).
cnf(refute_2_1483,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_1482]) ).
cnf(refute_2_1484,plain,
( h2(e13) != e21
| op2(e22,e21) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_2_1485,plain,
( h2(e13) != e21
| h2(e13) = op2(e22,e21)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_1483,refute_2_1484]) ).
cnf(refute_2_1486,plain,
( h2(e13) != e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_2_1485,refute_2_1436]) ).
cnf(refute_2_1487,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1459,refute_2_1339]) ).
cnf(refute_2_1488,plain,
( op1(e10,e12) != e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_2_1487,refute_2_489]) ).
cnf(refute_2_1489,plain,
( h4(e12) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_1490,plain,
( h4(e12) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_212,refute_2_1489]) ).
cnf(refute_2_1491,plain,
( h4(e12) != op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_2_1490,refute_2_188]) ).
cnf(refute_2_1492,plain,
( e23 != op2(h4(e10),e23)
| h4(e12) != e23
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_2_1493,plain,
( e23 != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_181,refute_2_1492]) ).
cnf(refute_2_1494,plain,
( e23 != op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_2_1493,refute_2_1491]) ).
cnf(refute_2_1495,plain,
( e23 != op2(e20,e23)
| h4(e10) != e20
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_1496,plain,
( e23 != op2(e20,e23)
| e23 = op2(h4(e10),e23)
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_966,refute_2_1495]) ).
cnf(refute_2_1497,plain,
( e23 != op2(e20,e23)
| h4(e10) = e22
| h4(e10) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_2_1496,refute_2_1494]) ).
cnf(refute_2_1498,plain,
( e23 != e23
| op2(e20,e23) != e23
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_2_1499,plain,
( e23 != e23
| e23 = op2(e20,e23)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_264,refute_2_1498]) ).
cnf(refute_2_1500,plain,
( e23 != e23
| h4(e10) = e22
| h4(e10) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_2_1499,refute_2_1497]) ).
cnf(refute_2_1501,plain,
( h4(e10) = e22
| h4(e10) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1500]) ).
cnf(refute_2_1502,plain,
( e11 != e11
| h4(e10) = e22
| h4(e10) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1501,refute_2_1347]) ).
cnf(refute_2_1503,plain,
( e11 != e11
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_1502,refute_2_1488]) ).
cnf(refute_2_1504,plain,
( h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_418,refute_2_1503]) ).
cnf(refute_2_1505,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_1506,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_966,refute_2_1505]) ).
cnf(refute_2_1507,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_971,refute_2_1506]) ).
cnf(refute_2_1508,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_1509,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e10)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_966,refute_2_1508]) ).
cnf(refute_2_1510,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e10)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_2_1507,refute_2_1509]) ).
cnf(refute_2_1511,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_1512,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_219,refute_2_1511]) ).
cnf(refute_2_1513,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,e23)) )],[refute_2_1510,refute_2_1512]) ).
cnf(refute_2_1514,plain,
( h4(op1(e10,e10)) != e21
| op1(e10,e10) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_1515,plain,
( h4(op1(e10,e10)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_1455,refute_2_1514]) ).
cnf(refute_2_1516,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_2_1513,refute_2_1515]) ).
cnf(refute_2_1517,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_1518,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_236,refute_2_1517]) ).
cnf(refute_2_1519,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_1516,refute_2_1518]) ).
cnf(refute_2_1520,plain,
( h4(e10) != e20
| h4(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_2_1521,plain,
( h4(e10) != e23
| e20 = e23
| h2(e13) = e21
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_1519,refute_2_1520]) ).
cnf(refute_2_1522,plain,
( e20 = e23
| h2(e13) = e21
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1504,refute_2_1521]) ).
cnf(refute_2_1523,plain,
( h2(e13) = e21
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_1522,refute_2_961]) ).
cnf(refute_2_1524,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e11
| h4(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_1525,plain,
( h4(op1(e10,e10)) != e23
| h4(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_1455,refute_2_1524]) ).
cnf(refute_2_1526,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_2_1038,refute_2_1525]) ).
cnf(refute_2_1527,plain,
( h4(e11) != e23
| h4(e11) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_1528,plain,
( h4(e11) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_236,refute_2_1527]) ).
cnf(refute_2_1529,plain,
( h2(e13) = e23
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e11),e23) )],[refute_2_1526,refute_2_1528]) ).
cnf(refute_2_1530,plain,
( h4(e10) != e20
| h4(e10) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_1531,plain,
( h4(e10) != e22
| e20 = e22
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_1529,refute_2_1530]) ).
cnf(refute_2_1532,plain,
( e20 = e22
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_1504,refute_2_1531]) ).
cnf(refute_2_1533,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_1532,refute_2_705]) ).
cnf(refute_2_1534,plain,
( h4(e10) != e22
| e23 = e22
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_1533,refute_2_1043]) ).
cnf(refute_2_1535,plain,
( e23 = e22
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_2_1523,refute_2_1534]) ).
cnf(refute_2_1536,plain,
( h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1535,refute_2_21]) ).
cnf(refute_2_1537,plain,
( e21 != e21
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_1536,refute_2_333]) ).
cnf(refute_2_1538,plain,
( e21 != e21
| h2(e13) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_1537,refute_2_1486]) ).
cnf(refute_2_1539,plain,
( h2(e13) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1538]) ).
cnf(refute_2_1540,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_1539,refute_2_1417]) ).
cnf(refute_2_1541,plain,
( e23 != e23
| h1(e13) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_1540,refute_2_1432]) ).
cnf(refute_2_1542,plain,
( h1(e13) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_689,refute_2_1541]) ).
cnf(refute_2_1543,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_300,refute_2_791]) ).
cnf(refute_2_1544,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1543,refute_2_783]) ).
cnf(refute_2_1545,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1544]) ).
cnf(refute_2_1546,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_1545,refute_2_571]) ).
cnf(refute_2_1547,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_2_1546,refute_2_730]) ).
cnf(refute_2_1548,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_1547]) ).
cnf(refute_2_1549,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_1481,refute_2_1548]) ).
cnf(refute_2_1550,plain,
( h2(e13) != e23
| e22 = e23
| h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1549,refute_2_763]) ).
cnf(refute_2_1551,plain,
( e22 = e23
| h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_1539,refute_2_1550]) ).
cnf(refute_2_1552,plain,
( h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_1551,refute_2_19]) ).
cnf(refute_2_1553,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_2_1554,plain,
( h1(e13) != e20
| e22 = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_1552,refute_2_1553]) ).
cnf(refute_2_1555,plain,
( e22 = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_1542,refute_2_1554]) ).
cnf(refute_2_1556,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_1555,refute_2_707]) ).
cnf(refute_2_1557,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1556,refute_2_1389]) ).
cnf(refute_2_1558,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1557,refute_2_1249]) ).
cnf(refute_2_1559,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_2_1558,refute_2_0]) ).
cnf(refute_2_1560,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_1388,refute_2_177]) ).
cnf(refute_2_1561,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1556,refute_2_1560]) ).
cnf(refute_2_1562,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_1561,refute_2_1254]) ).
cnf(refute_2_1563,plain,
( e21 != e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_1562,refute_2_1559]) ).
cnf(refute_2_1564,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1563]) ).
cnf(refute_2_1565,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_2_1564,refute_2_567]) ).
cnf(refute_2_1566,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_1565,refute_2_1015]) ).
cnf(refute_2_1567,plain,
( e10 != e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_1566,refute_2_427]) ).
cnf(refute_2_1568,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_480,refute_2_1567]) ).
cnf(refute_2_1569,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_1568,refute_2_177]) ).
cnf(refute_2_1570,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_283,refute_2_287]) ).
cnf(refute_2_1571,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_2_1570,refute_2_275]) ).
cnf(refute_2_1572,plain,
( e21 != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_2_302,refute_2_1571]) ).
cnf(refute_2_1573,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1572]) ).
cnf(refute_2_1574,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_2_1573,refute_2_571]) ).
cnf(refute_2_1575,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_2_1574,refute_2_730]) ).
cnf(refute_2_1576,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_669,refute_2_348]) ).
cnf(refute_2_1577,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_2_347,refute_2_1576]) ).
cnf(refute_2_1578,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_716,refute_2_351]) ).
cnf(refute_2_1579,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_2_1577,refute_2_1578]) ).
cnf(refute_2_1580,plain,
( op1(e10,e12) != e11
| e12 = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_1467,refute_2_377]) ).
cnf(refute_2_1581,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_376,refute_2_1580]) ).
cnf(refute_2_1582,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_1581,refute_2_382]) ).
cnf(refute_2_1583,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e11) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_1582,refute_2_384]) ).
cnf(refute_2_1584,plain,
( h4(e11) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_2_1579,refute_2_1583]) ).
cnf(refute_2_1585,plain,
( h2(e13) = op2(e23,e21)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e21)) )],[refute_2_1584,refute_2_388]) ).
cnf(refute_2_1586,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_2_1585,refute_2_393]) ).
cnf(refute_2_1587,plain,
( e21 != op2(h4(e10),e23)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_2_670,refute_2_434]) ).
cnf(refute_2_1588,plain,
( e21 != op2(e23,e23)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e23)) )],[refute_2_717,refute_2_1587]) ).
cnf(refute_2_1589,plain,
( e21 != e21
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_442,refute_2_1588]) ).
cnf(refute_2_1590,plain,
( definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1589]) ).
cnf(refute_2_1591,plain,
( op1(e11,e11) != e12
| op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_1470,refute_2_508]) ).
cnf(refute_2_1592,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_2_1591,refute_2_488]) ).
cnf(refute_2_1593,plain,
( e12 != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_1474,refute_2_1592]) ).
cnf(refute_2_1594,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_423,refute_2_1593]) ).
cnf(refute_2_1595,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_2_1590,refute_2_1594]) ).
cnf(refute_2_1596,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_2_1564,refute_2_1595]) ).
cnf(refute_2_1597,plain,
( op1(e10,e10) != e11
| e12 = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_1596,refute_2_1477]) ).
cnf(refute_2_1598,plain,
( e12 = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_1586,refute_2_1597]) ).
cnf(refute_2_1599,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_1598,refute_2_382]) ).
cnf(refute_2_1600,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_2_1599,refute_2_631]) ).
cnf(refute_2_1601,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_1600,refute_2_1575]) ).
cnf(refute_2_1602,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_1601]) ).
cnf(refute_2_1603,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_2_1604,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_1602,refute_2_1603]) ).
cnf(refute_2_1605,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_2_1604,refute_2_773]) ).
cnf(refute_2_1606,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_2_1235,refute_2_769]) ).
cnf(refute_2_1607,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_1600,refute_2_1606]) ).
cnf(refute_2_1608,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_2_1600,refute_2_1548]) ).
cnf(refute_2_1609,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1608,refute_2_749]) ).
cnf(refute_2_1610,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_1609,refute_2_1607]) ).
cnf(refute_2_1611,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_1610,refute_2_1605]) ).
cnf(refute_2_1612,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_662,refute_2_1611]) ).
cnf(refute_2_1613,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1612,refute_2_1569]) ).
cnf(refute_2_1614,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_2_1615,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_1613,refute_2_1614]) ).
cnf(refute_2_1616,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_2_1568,refute_2_573]) ).
cnf(refute_2_1617,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_2_1612,refute_2_1616]) ).
cnf(refute_2_1618,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_1617,refute_2_301]) ).
cnf(refute_2_1619,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_2_1618,refute_2_1615]) ).
cnf(refute_2_1620,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_2_1619,refute_2_0]) ).
cnf(refute_2_1621,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_150,refute_2_1620]) ).
fof(negate_3_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( op2(e20,e20) != 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_3_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_3_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_3_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_3_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_3_4,normalize_3_5]) ).
fof(normalize_3_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_3_3,normalize_3_6,normalize_3_5]) ).
fof(normalize_3_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_3_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_3_7,normalize_3_8]) ).
fof(normalize_3_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_2,normalize_3_9,normalize_3_6,normalize_3_5,normalize_3_8]) ).
fof(normalize_3_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_3_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_3_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_3_11,normalize_3_12]) ).
fof(normalize_3_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_10,normalize_3_13,normalize_3_12]) ).
fof(normalize_3_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_3_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_14,normalize_3_15]) ).
fof(normalize_3_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_3_16]) ).
fof(normalize_3_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_9]) ).
fof(normalize_3_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_3_19]) ).
fof(normalize_3_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_3_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_8]) ).
fof(normalize_3_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_3_23]) ).
fof(normalize_3_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_3_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_3_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_6]) ).
fof(normalize_3_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_3_31]) ).
fof(normalize_3_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_3_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_5]) ).
fof(normalize_3_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_3_35]) ).
fof(normalize_3_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_3_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_3_37]) ).
fof(normalize_3_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_3_35]) ).
fof(normalize_3_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_3_31]) ).
fof(normalize_3_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_13]) ).
fof(normalize_3_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_12]) ).
fof(normalize_3_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_3_45]) ).
fof(normalize_3_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_50,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_3_51,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_3_52,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_3_53,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_3_54,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_3_52,normalize_3_53]) ).
fof(normalize_3_55,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_3_51,normalize_3_54,normalize_3_53]) ).
fof(normalize_3_56,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_3_57,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_3_55,normalize_3_56]) ).
fof(normalize_3_58,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_50,normalize_3_57,normalize_3_54,normalize_3_53,normalize_3_56]) ).
fof(normalize_3_59,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_3_60,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_3_61,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_3_59,normalize_3_60]) ).
fof(normalize_3_62,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_58,normalize_3_61,normalize_3_60]) ).
fof(normalize_3_63,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_3_64,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_62,normalize_3_63]) ).
fof(normalize_3_65,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_3_64]) ).
fof(normalize_3_66,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_3_65]) ).
fof(normalize_3_67,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_57]) ).
fof(normalize_3_68,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_3_67]) ).
fof(normalize_3_69,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_56]) ).
fof(normalize_3_70,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_3_69]) ).
fof(normalize_3_71,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_3_72,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_3_71]) ).
fof(normalize_3_73,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_3_74,plain,
e12 != e13,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_75,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_3_71]) ).
fof(normalize_3_76,plain,
e11 != e13,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_77,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_54]) ).
fof(normalize_3_78,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_3_77]) ).
fof(normalize_3_79,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_53]) ).
fof(normalize_3_80,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_3_79]) ).
fof(normalize_3_81,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_3_79]) ).
fof(normalize_3_82,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_3_77]) ).
fof(normalize_3_83,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_61]) ).
fof(normalize_3_84,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_3_83]) ).
fof(normalize_3_85,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_60]) ).
fof(normalize_3_86,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_3_85]) ).
fof(normalize_3_87,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_88,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_89,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_3_71]) ).
fof(normalize_3_90,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_91,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_92,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_93,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_3_37]) ).
fof(normalize_3_94,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_95,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_3_96,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_3_95]) ).
fof(normalize_3_97,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_92,normalize_3_93,normalize_3_94,normalize_3_96]) ).
fof(normalize_3_98,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_3_97]) ).
fof(normalize_3_99,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_100,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_15]) ).
fof(normalize_3_101,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_3_100]) ).
fof(normalize_3_102,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_103,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_104,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_105,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_106,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_3_107,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_108,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_109,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_110,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_111,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_112,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_3_97]) ).
fof(normalize_3_113,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_3_97]) ).
fof(normalize_3_114,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_115,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_63]) ).
fof(normalize_3_116,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_3_115]) ).
fof(normalize_3_117,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_3_115]) ).
fof(normalize_3_118,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_119,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_120,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_121,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_122,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_3_123,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_3_124,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_3_125,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_3_123,normalize_3_124]) ).
fof(normalize_3_126,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_122,normalize_3_125,normalize_3_124]) ).
fof(normalize_3_127,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_3_128,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_126,normalize_3_127]) ).
fof(normalize_3_129,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_3_128]) ).
fof(normalize_3_130,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_3_129]) ).
fof(normalize_3_131,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_125]) ).
fof(normalize_3_132,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_3_131]) ).
fof(normalize_3_133,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_134,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_135,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_3_136,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_137,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_138,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_139,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_140,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_3_100]) ).
fof(normalize_3_141,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_142,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_143,plain,
e20 != e23,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_144,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_145,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_146,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_147,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_148,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_149,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_150,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_124]) ).
fof(normalize_3_151,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_3_150]) ).
fof(normalize_3_152,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_153,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_154,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_155,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_156,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_3_150]) ).
fof(normalize_3_157,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_158,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_159,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_160,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_3_161,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_3_162,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_3_163,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_3_161,normalize_3_162]) ).
fof(normalize_3_164,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_160,normalize_3_163,normalize_3_162]) ).
fof(normalize_3_165,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_3_166,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_164,normalize_3_165]) ).
fof(normalize_3_167,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_3_166]) ).
fof(normalize_3_168,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_3_167]) ).
fof(normalize_3_169,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_165]) ).
fof(normalize_3_170,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_3_169]) ).
fof(normalize_3_171,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_3_169]) ).
fof(normalize_3_172,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_173,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_174,plain,
e21 != e22,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_175,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_176,plain,
e20 != e22,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_177,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_163]) ).
fof(normalize_3_178,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_3_177]) ).
fof(normalize_3_179,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_180,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_181,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_182,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_162]) ).
fof(normalize_3_183,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_3_182]) ).
fof(normalize_3_184,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_3_182]) ).
fof(normalize_3_185,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_186,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_187,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_188,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_189,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_190,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_3_182]) ).
fof(normalize_3_191,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_192,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_3_37]) ).
fof(normalize_3_193,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_194,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_3_195,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_3_194]) ).
fof(normalize_3_196,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_3_195,normalize_3_16,normalize_3_13,normalize_3_9,normalize_3_6,normalize_3_5,normalize_3_8,normalize_3_15,normalize_3_12]) ).
fof(normalize_3_197,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_3_196,normalize_3_166,normalize_3_163,normalize_3_165,normalize_3_162]) ).
fof(normalize_3_198,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_3_199,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_3_200,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_3_198,normalize_3_199]) ).
fof(normalize_3_201,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_3_197,normalize_3_200,normalize_3_199]) ).
fof(normalize_3_202,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_3_203,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_3_201,normalize_3_202]) ).
fof(normalize_3_204,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_3_203]) ).
fof(normalize_3_205,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_3_204]) ).
fof(normalize_3_206,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_3_200]) ).
fof(normalize_3_207,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_3_206]) ).
fof(normalize_3_208,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_3_199]) ).
fof(normalize_3_209,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_3_208]) ).
fof(normalize_3_210,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_3_208]) ).
fof(normalize_3_211,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_3_202]) ).
fof(normalize_3_212,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_3_211]) ).
fof(normalize_3_213,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_214,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_3_194]) ).
fof(normalize_3_215,plain,
e20 != e21,
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_216,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_3_204]) ).
fof(normalize_3_217,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_3_37]) ).
fof(normalize_3_218,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_219,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_220,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_221,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_222,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_223,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_3_135]) ).
fof(normalize_3_224,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_225,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_226,plain,
( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_3_204]) ).
fof(normalize_3_227,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_228,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_3_194]) ).
fof(normalize_3_229,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_230,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_231,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_232,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_233,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_3_167]) ).
fof(normalize_3_234,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_235,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_236,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_127]) ).
fof(normalize_3_237,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_3_236]) ).
fof(normalize_3_238,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_3_236]) ).
fof(normalize_3_239,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_240,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_3_239]) ).
fof(normalize_3_241,plain,
e11 != e12,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_242,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_243,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_3_244,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_3_243]) ).
fof(normalize_3_245,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_3_244,normalize_3_64,normalize_3_61,normalize_3_57,normalize_3_54,normalize_3_53,normalize_3_56,normalize_3_63,normalize_3_60]) ).
fof(normalize_3_246,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_3_245,normalize_3_128,normalize_3_125,normalize_3_127,normalize_3_124]) ).
fof(normalize_3_247,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_3_248,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_3_249,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_3_247,normalize_3_248]) ).
fof(normalize_3_250,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_3_246,normalize_3_249,normalize_3_248]) ).
fof(normalize_3_251,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_3_252,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_3_250,normalize_3_251]) ).
fof(normalize_3_253,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_3_252]) ).
fof(normalize_3_254,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_3_253]) ).
fof(normalize_3_255,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_3_249]) ).
fof(normalize_3_256,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_3_255]) ).
fof(normalize_3_257,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_3_248]) ).
fof(normalize_3_258,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_3_257]) ).
fof(normalize_3_259,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_3_257]) ).
fof(normalize_3_260,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_3_251]) ).
fof(normalize_3_261,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_3_260]) ).
fof(normalize_3_262,plain,
e10 != e12,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_263,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_3_239]) ).
fof(normalize_3_264,plain,
e10 != e13,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_265,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_3_243]) ).
fof(normalize_3_266,plain,
e10 != e11,
inference(conjunct,[],[normalize_3_73]) ).
fof(normalize_3_267,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_3_253]) ).
fof(normalize_3_268,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_269,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_270,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_3_253]) ).
fof(normalize_3_271,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_272,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_273,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_274,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_3_243]) ).
fof(normalize_3_275,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_276,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_277,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_3_106]) ).
fof(normalize_3_278,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_3_87]) ).
fof(normalize_3_279,plain,
( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_3_253]) ).
fof(normalize_3_280,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(conjunct,[],[normalize_3_239]) ).
fof(normalize_3_281,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_3_129]) ).
fof(normalize_3_282,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_283,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_3_182]) ).
fof(normalize_3_284,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_3_102]) ).
fof(normalize_3_285,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_286,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_3_167]) ).
cnf(refute_3_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_4,refute_3_5]) ).
cnf(refute_3_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_3_3,refute_3_7]) ).
cnf(refute_3_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_3_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_9]) ).
cnf(refute_3_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_3_2,refute_3_10]) ).
cnf(refute_3_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_3_13,refute_3_14]) ).
cnf(refute_3_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_3_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_16]) ).
cnf(refute_3_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_3_12,refute_3_17]) ).
cnf(refute_3_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_3_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_20,refute_3_19]) ).
cnf(refute_3_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_3_18,refute_3_21]) ).
cnf(refute_3_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_3_22,refute_3_11]) ).
cnf(refute_3_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_3_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_25,refute_3_26]) ).
cnf(refute_3_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_27]) ).
cnf(refute_3_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_3_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_29,refute_3_30]) ).
cnf(refute_3_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_31]) ).
cnf(refute_3_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_6,refute_3_33]) ).
cnf(refute_3_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_32,refute_3_35]) ).
cnf(refute_3_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_3_28,refute_3_36]) ).
cnf(refute_3_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_3_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_39]) ).
cnf(refute_3_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_3_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_24,refute_3_42]) ).
cnf(refute_3_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_3_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_3_43,refute_3_44]) ).
cnf(refute_3_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_3_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_46]) ).
cnf(refute_3_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_23,refute_3_47]) ).
cnf(refute_3_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_3_32]) ).
cnf(refute_3_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_3_34]) ).
cnf(refute_3_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_3_52,refute_3_53]) ).
cnf(refute_3_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_3_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_3_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_57]) ).
cnf(refute_3_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_3_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_3_58,refute_3_59]) ).
cnf(refute_3_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_3_60,refute_3_51]) ).
cnf(refute_3_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_3_36]) ).
cnf(refute_3_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_3_38]) ).
cnf(refute_3_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_3_63,refute_3_64]) ).
cnf(refute_3_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_3_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_3_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_68]) ).
cnf(refute_3_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_3_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_3_71,refute_3_62]) ).
cnf(refute_3_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_3_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_74]) ).
cnf(refute_3_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_73,refute_3_75]) ).
cnf(refute_3_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_3_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_76,refute_3_77]) ).
cnf(refute_3_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_3_78,refute_3_72]) ).
cnf(refute_3_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_3_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_80]) ).
cnf(refute_3_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_81,refute_3_79]) ).
cnf(refute_3_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_3_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_76,refute_3_83]) ).
cnf(refute_3_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_84,refute_3_82]) ).
cnf(refute_3_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_3_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_86,refute_3_85]) ).
cnf(refute_3_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_3_87,refute_3_61]) ).
cnf(refute_3_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_3_40]) ).
cnf(refute_3_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_3_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_3_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_3_90,refute_3_91]) ).
cnf(refute_3_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_92]) ).
cnf(refute_3_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_3_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_3_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_3_94,refute_3_95]) ).
cnf(refute_3_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_96]) ).
cnf(refute_3_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_3_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_3_97,refute_3_98]) ).
cnf(refute_3_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_3_93,refute_3_99]) ).
cnf(refute_3_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_3_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_3_100,refute_3_101]) ).
cnf(refute_3_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_3_89,refute_3_102]) ).
cnf(refute_3_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_105]) ).
cnf(refute_3_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_104,refute_3_106]) ).
cnf(refute_3_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_3_87,refute_3_107]) ).
cnf(refute_3_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_108,refute_3_109]) ).
cnf(refute_3_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_3_103,refute_3_110]) ).
cnf(refute_3_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_108,refute_3_112]) ).
cnf(refute_3_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_3_103,refute_3_113]) ).
cnf(refute_3_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_3_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_3_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_3_116,refute_3_117]) ).
cnf(refute_3_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_118]) ).
cnf(refute_3_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_3_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_3_119,refute_3_120]) ).
cnf(refute_3_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_3_115,refute_3_121]) ).
cnf(refute_3_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_3_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_3_122,refute_3_123]) ).
cnf(refute_3_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_3_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_3_124,refute_3_125]) ).
cnf(refute_3_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_3_114,refute_3_126]) ).
cnf(refute_3_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_108,refute_3_128]) ).
cnf(refute_3_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_3_122,refute_3_129]) ).
cnf(refute_3_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_3_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_131]) ).
cnf(refute_3_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_3_130,refute_3_132]) ).
cnf(refute_3_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_3_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_3_133,refute_3_134]) ).
cnf(refute_3_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_3_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_3_135,refute_3_136]) ).
cnf(refute_3_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_108,refute_3_137]) ).
cnf(refute_3_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_3_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_3_138,refute_3_139]) ).
cnf(refute_3_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_3_127,refute_3_140]) ).
cnf(refute_3_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_3_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_3_141,refute_3_142]) ).
cnf(refute_3_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_3_111,refute_3_143]) ).
cnf(refute_3_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_3_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_3_144,refute_3_145]) ).
cnf(refute_3_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_3_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_3_146,refute_3_147]) ).
cnf(refute_3_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_3_148,refute_3_88]) ).
cnf(refute_3_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_3_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_149]) ).
cnf(refute_3_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_3_151,refute_3_50]) ).
cnf(refute_3_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_3_152,refute_3_1]) ).
cnf(refute_3_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_47]) ).
cnf(refute_3_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_3_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_3_158,refute_3_159]) ).
cnf(refute_3_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_160]) ).
cnf(refute_3_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_3_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_3_161,refute_3_162]) ).
cnf(refute_3_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_3_157,refute_3_163]) ).
cnf(refute_3_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_3_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_3_164,refute_3_165]) ).
cnf(refute_3_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_3_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_166,refute_3_167]) ).
cnf(refute_3_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_3_168,refute_3_156]) ).
cnf(refute_3_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_155,refute_3_169]) ).
cnf(refute_3_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_3_170,refute_3_154]) ).
cnf(refute_3_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_49]) ).
cnf(refute_3_173,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_3_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_166,refute_3_173]) ).
cnf(refute_3_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_3_174,refute_3_172]) ).
cnf(refute_3_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_3_171,refute_3_175]) ).
cnf(refute_3_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_3_176,refute_3_153]) ).
cnf(refute_3_178,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_3_66]) ).
cnf(refute_3_179,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_3_68]) ).
cnf(refute_3_180,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_3_70]) ).
cnf(refute_3_181,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_3_72]) ).
cnf(refute_3_182,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_3_183,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_3_181,refute_3_182]) ).
cnf(refute_3_184,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_3_185,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_184]) ).
cnf(refute_3_186,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_3_180,refute_3_185]) ).
cnf(refute_3_187,plain,
e12 != e13,
inference(canonicalize,[],[normalize_3_74]) ).
cnf(refute_3_188,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_3_189,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_3_188,refute_3_187]) ).
cnf(refute_3_190,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_3_186,refute_3_189]) ).
cnf(refute_3_191,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_3_190,refute_3_179]) ).
cnf(refute_3_192,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_3_75]) ).
cnf(refute_3_193,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_3_194,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_195,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_3_193,refute_3_194]) ).
cnf(refute_3_196,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_195]) ).
cnf(refute_3_197,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_3_198,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_3_199,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_3_197,refute_3_198]) ).
cnf(refute_3_200,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_199]) ).
cnf(refute_3_201,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_202,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_3_200,refute_3_201]) ).
cnf(refute_3_203,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_3_196,refute_3_202]) ).
cnf(refute_3_204,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_3_205,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_3_203,refute_3_204]) ).
cnf(refute_3_206,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_3_192,refute_3_205]) ).
cnf(refute_3_207,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_208,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_3_206,refute_3_207]) ).
cnf(refute_3_209,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_3_210,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_209]) ).
cnf(refute_3_211,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_3_191,refute_3_210]) ).
cnf(refute_3_212,plain,
e11 != e13,
inference(canonicalize,[],[normalize_3_76]) ).
cnf(refute_3_213,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_3_211,refute_3_212]) ).
cnf(refute_3_214,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_3_78]) ).
cnf(refute_3_215,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_3_80]) ).
cnf(refute_3_216,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_3_81]) ).
cnf(refute_3_217,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_3_218,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_216,refute_3_217]) ).
cnf(refute_3_219,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_3_218,refute_3_215]) ).
cnf(refute_3_220,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_3_219,refute_3_214]) ).
cnf(refute_3_221,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_3_82]) ).
cnf(refute_3_222,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_3_219,refute_3_221]) ).
cnf(refute_3_223,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_3_224,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_3_222,refute_3_223]) ).
cnf(refute_3_225,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_3_224,refute_3_220]) ).
cnf(refute_3_226,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_3_225,refute_3_213]) ).
cnf(refute_3_227,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_3_226,refute_3_178]) ).
cnf(refute_3_228,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_3_84]) ).
cnf(refute_3_229,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_3_86]) ).
cnf(refute_3_230,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_88]) ).
cnf(refute_3_231,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_3_89]) ).
cnf(refute_3_232,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_3_233,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_3_234,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_3_232,refute_3_233]) ).
cnf(refute_3_235,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_234]) ).
cnf(refute_3_236,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_3_237,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_3_235,refute_3_236]) ).
cnf(refute_3_238,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_3_231,refute_3_237]) ).
cnf(refute_3_239,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_3_240,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_3_238,refute_3_239]) ).
cnf(refute_3_241,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_3_242,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_241]) ).
cnf(refute_3_243,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_3_242,refute_3_230]) ).
cnf(refute_3_244,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_3_229,refute_3_243]) ).
cnf(refute_3_245,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_3_244,refute_3_228]) ).
cnf(refute_3_246,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_90]) ).
cnf(refute_3_247,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_3_248,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_247]) ).
cnf(refute_3_249,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_3_248,refute_3_246]) ).
cnf(refute_3_250,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_3_245,refute_3_249]) ).
cnf(refute_3_251,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_3_250,refute_3_227]) ).
cnf(refute_3_252,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_3_91]) ).
cnf(refute_3_253,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_3_98]) ).
cnf(refute_3_254,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_3_99]) ).
cnf(refute_3_255,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_3_256,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_257,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_3_255,refute_3_256]) ).
cnf(refute_3_258,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_254,refute_3_257]) ).
cnf(refute_3_259,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_3_260,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_3_258,refute_3_259]) ).
cnf(refute_3_261,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_3_253,refute_3_260]) ).
cnf(refute_3_262,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_3_101]) ).
cnf(refute_3_263,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_3_103]) ).
cnf(refute_3_264,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_3_263,refute_3_10]) ).
cnf(refute_3_265,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_3_104]) ).
cnf(refute_3_266,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_3_267,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_266]) ).
cnf(refute_3_268,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_3_267,refute_3_265]) ).
cnf(refute_3_269,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_3_270,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_3_269,refute_3_268]) ).
cnf(refute_3_271,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_3_264,refute_3_270]) ).
cnf(refute_3_272,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_271,refute_3_47]) ).
cnf(refute_3_273,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_3_105]) ).
cnf(refute_3_274,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_3_275,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_274]) ).
cnf(refute_3_276,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_275]) ).
cnf(refute_3_277,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_3_278,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_279,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_3_277,refute_3_278]) ).
cnf(refute_3_280,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_276,refute_3_279]) ).
cnf(refute_3_281,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_3_282,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_3_280,refute_3_281]) ).
cnf(refute_3_283,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_3_273,refute_3_282]) ).
cnf(refute_3_284,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_3_285,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_3_283,refute_3_284]) ).
cnf(refute_3_286,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_3_287,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_286]) ).
cnf(refute_3_288,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_272,refute_3_287]) ).
cnf(refute_3_289,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_288,refute_3_49]) ).
cnf(refute_3_290,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_3_291,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_289,refute_3_290]) ).
cnf(refute_3_292,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_3_291,refute_3_262]) ).
cnf(refute_3_293,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_294,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_292,refute_3_293]) ).
cnf(refute_3_295,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_3_261,refute_3_294]) ).
cnf(refute_3_296,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_3_297,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_276,refute_3_296]) ).
cnf(refute_3_298,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_3_295,refute_3_297]) ).
cnf(refute_3_299,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_3_107]) ).
cnf(refute_3_300,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_3_108]) ).
cnf(refute_3_301,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_3_302,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_301]) ).
cnf(refute_3_303,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_3_302,refute_3_300]) ).
cnf(refute_3_304,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_3_299,refute_3_303]) ).
cnf(refute_3_305,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_3_304,refute_3_243]) ).
cnf(refute_3_306,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_3_307,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_305,refute_3_306]) ).
cnf(refute_3_308,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_3_298,refute_3_307]) ).
cnf(refute_3_309,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_3_310,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_254,refute_3_309]) ).
cnf(refute_3_311,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_3_308,refute_3_310]) ).
cnf(refute_3_312,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_3_313,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_312,refute_3_49]) ).
cnf(refute_3_314,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_311,refute_3_313]) ).
cnf(refute_3_315,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_3_316,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_314,refute_3_315]) ).
cnf(refute_3_317,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_3_316,refute_3_252]) ).
cnf(refute_3_318,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_3_109]) ).
cnf(refute_3_319,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_3_110]) ).
cnf(refute_3_320,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_3_321,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_320]) ).
cnf(refute_3_322,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_3_321,refute_3_319]) ).
cnf(refute_3_323,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_3_318,refute_3_322]) ).
cnf(refute_3_324,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_111]) ).
cnf(refute_3_325,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_3_326,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_325]) ).
cnf(refute_3_327,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_3_326,refute_3_324]) ).
cnf(refute_3_328,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_3_323,refute_3_327]) ).
cnf(refute_3_329,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_3_330,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_328,refute_3_329]) ).
cnf(refute_3_331,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_3_330,refute_3_317]) ).
cnf(refute_3_332,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_3_333,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_331]) ).
cnf(refute_3_334,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_3_335,plain,
( op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_333,refute_3_334]) ).
cnf(refute_3_336,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_3_335,refute_3_251]) ).
cnf(refute_3_337,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_112]) ).
cnf(refute_3_338,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_339,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_340,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_338,refute_3_339]) ).
cnf(refute_3_341,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_340]) ).
cnf(refute_3_342,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) ),[1],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_3_343,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_3_341,refute_3_342]) ).
cnf(refute_3_344,plain,
h4(op1(e10,e13)) != op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_343,refute_3_337]) ).
cnf(refute_3_345,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_346,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_292,refute_3_345]) ).
cnf(refute_3_347,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_3_346,refute_3_344]) ).
cnf(refute_3_348,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_3_113]) ).
cnf(refute_3_349,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_3_114]) ).
cnf(refute_3_350,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_3_351,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_352,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_3_350,refute_3_351]) ).
cnf(refute_3_353,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_276,refute_3_352]) ).
cnf(refute_3_354,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_355,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_356,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_354,refute_3_355]) ).
cnf(refute_3_357,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_276,refute_3_356]) ).
cnf(refute_3_358,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_359,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_3_357,refute_3_358]) ).
cnf(refute_3_360,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_3_353,refute_3_359]) ).
cnf(refute_3_361,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_3_362,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_3_360,refute_3_361]) ).
cnf(refute_3_363,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_362]) ).
cnf(refute_3_364,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_365,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_3_363,refute_3_364]) ).
cnf(refute_3_366,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_349,refute_3_365]) ).
cnf(refute_3_367,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_3_368,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_3_369,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_3_367,refute_3_368]) ).
cnf(refute_3_370,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_3_366,refute_3_369]) ).
cnf(refute_3_371,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_3_372,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_3_370,refute_3_371]) ).
cnf(refute_3_373,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_3_348,refute_3_372]) ).
cnf(refute_3_374,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_375,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_292,refute_3_374]) ).
cnf(refute_3_376,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_375]) ).
cnf(refute_3_377,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_3_116]) ).
cnf(refute_3_378,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| op1(e10,e11) != e10
| h4(e10) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0,0],$fot(e10)]]) ).
cnf(refute_3_379,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_377,refute_3_378]) ).
cnf(refute_3_380,plain,
( h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_379]) ).
cnf(refute_3_381,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| op2(h4(e10),h2(e13)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(op2(h4(e10),h2(e13))))]]) ).
cnf(refute_3_382,plain,
op2(h4(e10),h2(e13)) = h4(op1(e10,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_381]) ).
cnf(refute_3_383,plain,
( h4(e10) != op2(h4(e10),h2(e13))
| op2(h4(e10),h2(e13)) != h4(op1(e10,e11))
| h4(e10) = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(op1(e10,e11))) ),[0],$fot(op2(h4(e10),h2(e13)))]]) ).
cnf(refute_3_384,plain,
( h4(e10) != op2(h4(e10),h2(e13))
| h4(e10) = h4(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h2(e13)),h4(op1(e10,e11))) )],[refute_3_382,refute_3_383]) ).
cnf(refute_3_385,plain,
( h4(e10) = h4(op1(e10,e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),h2(e13))) )],[refute_3_380,refute_3_384]) ).
cnf(refute_3_386,plain,
( h4(e10) != e23
| h4(e10) != h4(op1(e10,e11))
| e23 = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) ),[0],$fot(e23)]]) ).
cnf(refute_3_387,plain,
( h4(e10) != h4(op1(e10,e11))
| e23 = h4(op1(e10,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_292,refute_3_386]) ).
cnf(refute_3_388,plain,
( e23 = h4(op1(e10,e11))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) )],[refute_3_385,refute_3_387]) ).
cnf(refute_3_389,plain,
( e23 != h4(op1(e10,e11))
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(op1(e10,e11))))]]) ).
cnf(refute_3_390,plain,
( h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e11))) )],[refute_3_388,refute_3_389]) ).
cnf(refute_3_391,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != op2(e23,h2(e13))
| e23 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[0],$fot(e23)]]) ).
cnf(refute_3_392,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_3_390,refute_3_391]) ).
cnf(refute_3_393,plain,
( e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_3_376,refute_3_392]) ).
cnf(refute_3_394,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_3_395,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_314,refute_3_394]) ).
cnf(refute_3_396,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_3_298,refute_3_395]) ).
cnf(refute_3_397,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_398,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_3_366,refute_3_397]) ).
cnf(refute_3_399,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_3_396,refute_3_398]) ).
cnf(refute_3_400,plain,
( e23 != op2(e23,h2(e13))
| h2(e13) != e21
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_401,plain,
( e23 != op2(e23,h2(e13))
| e23 = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_399,refute_3_400]) ).
cnf(refute_3_402,plain,
( e23 = op2(e23,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h2(e13))) )],[refute_3_393,refute_3_401]) ).
cnf(refute_3_403,plain,
( e23 != op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_3_404,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_3_402,refute_3_403]) ).
cnf(refute_3_405,plain,
( h4(op1(e10,e13)) != e23
| op2(e23,e21) != e23
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_3_406,plain,
( h4(op1(e10,e13)) != e23
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_404,refute_3_405]) ).
cnf(refute_3_407,plain,
( h4(op1(e10,e13)) != e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_3_406,refute_3_347]) ).
cnf(refute_3_408,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_3_117]) ).
cnf(refute_3_409,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_3_118]) ).
cnf(refute_3_410,plain,
( e10 != op1(e10,e13)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_3_411,plain,
( e10 != op1(e10,e13)
| op1(e10,e11) = op1(e10,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_377,refute_3_410]) ).
cnf(refute_3_412,plain,
( e10 != op1(e10,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_3_411,refute_3_409]) ).
cnf(refute_3_413,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_3_119]) ).
cnf(refute_3_414,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_120]) ).
cnf(refute_3_415,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_416,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_415]) ).
cnf(refute_3_417,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_3_416,refute_3_414]) ).
cnf(refute_3_418,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_413,refute_3_417]) ).
cnf(refute_3_419,plain,
( e10 != e10
| op1(e10,e13) != e10
| e10 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_420,plain,
( e10 != e10
| e10 = op1(e10,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_418,refute_3_419]) ).
cnf(refute_3_421,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e13)) )],[refute_3_420,refute_3_412]) ).
cnf(refute_3_422,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_3_423,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_421]) ).
cnf(refute_3_424,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e10,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_3_425,plain,
( op1(e10,e13) = e12
| op1(e10,op1(e10,e13)) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_423,refute_3_424]) ).
cnf(refute_3_426,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_3_425,refute_3_408]) ).
cnf(refute_3_427,plain,
( h4(e12) != e23
| op1(e10,e13) != e12
| h4(op1(e10,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_3_428,plain,
( h4(e12) != e23
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_426,refute_3_427]) ).
cnf(refute_3_429,plain,
( h4(e12) != e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_428,refute_3_407]) ).
cnf(refute_3_430,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_431,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_254,refute_3_430]) ).
cnf(refute_3_432,plain,
( e23 != e23
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_431,refute_3_429]) ).
cnf(refute_3_433,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_3_434,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_432]) ).
cnf(refute_3_435,plain,
( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_3_434,refute_3_336]) ).
cnf(refute_3_436,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_3_121]) ).
cnf(refute_3_437,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_3_130]) ).
cnf(refute_3_438,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_305,refute_3_315]) ).
cnf(refute_3_439,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_3_438,refute_3_252]) ).
cnf(refute_3_440,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_3_330,refute_3_439]) ).
cnf(refute_3_441,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_440]) ).
cnf(refute_3_442,plain,
( op1(e10,e12) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_441,refute_3_334]) ).
cnf(refute_3_443,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_3_442,refute_3_437]) ).
cnf(refute_3_444,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_3_132]) ).
cnf(refute_3_445,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_133]) ).
cnf(refute_3_446,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_447,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_446]) ).
cnf(refute_3_448,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_3_447,refute_3_445]) ).
cnf(refute_3_449,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_3_444,refute_3_448]) ).
cnf(refute_3_450,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_3_134]) ).
cnf(refute_3_451,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_3_152,refute_3_450]) ).
cnf(refute_3_452,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_3_176,refute_3_451]) ).
cnf(refute_3_453,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_3_136]) ).
cnf(refute_3_454,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_3_137]) ).
cnf(refute_3_455,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_3_456,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_455]) ).
cnf(refute_3_457,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_3_456,refute_3_454]) ).
cnf(refute_3_458,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_3_453,refute_3_457]) ).
cnf(refute_3_459,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_138]) ).
cnf(refute_3_460,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_3_461,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_166,refute_3_460]) ).
cnf(refute_3_462,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_3_461,refute_3_459]) ).
cnf(refute_3_463,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_3_458,refute_3_462]) ).
cnf(refute_3_464,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_3_465,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_463,refute_3_464]) ).
cnf(refute_3_466,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_465,refute_3_452]) ).
cnf(refute_3_467,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_3_139]) ).
cnf(refute_3_468,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_3_469,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_468]) ).
cnf(refute_3_470,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_3_469,refute_3_467]) ).
cnf(refute_3_471,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_3_140]) ).
cnf(refute_3_472,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_3_141]) ).
cnf(refute_3_473,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_3_474,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_473]) ).
cnf(refute_3_475,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_3_472,refute_3_474]) ).
cnf(refute_3_476,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_3_142]) ).
cnf(refute_3_477,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_3_478,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_477]) ).
cnf(refute_3_479,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_3_478,refute_3_476]) ).
cnf(refute_3_480,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_475,refute_3_479]) ).
cnf(refute_3_481,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_480,refute_3_290]) ).
cnf(refute_3_482,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_3_481,refute_3_262]) ).
cnf(refute_3_483,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_3_484,plain,
( op2(e20,e21) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_3_482,refute_3_483]) ).
cnf(refute_3_485,plain,
( e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_3_471,refute_3_484]) ).
cnf(refute_3_486,plain,
e20 != e23,
inference(canonicalize,[],[normalize_3_143]) ).
cnf(refute_3_487,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_488,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_487,refute_3_486]) ).
cnf(refute_3_489,plain,
( h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_485,refute_3_488]) ).
cnf(refute_3_490,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_3_491,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_3_489,refute_3_490]) ).
cnf(refute_3_492,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_3_491,refute_3_470]) ).
cnf(refute_3_493,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_3_144]) ).
cnf(refute_3_494,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_3_493,refute_3_175]) ).
cnf(refute_3_495,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_145]) ).
cnf(refute_3_496,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_497,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_496]) ).
cnf(refute_3_498,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_3_497,refute_3_495]) ).
cnf(refute_3_499,plain,
( h4(e13) != e21
| op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_3_500,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_499]) ).
cnf(refute_3_501,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_3_500,refute_3_498]) ).
cnf(refute_3_502,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_3_494,refute_3_501]) ).
cnf(refute_3_503,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_3_504,plain,
( e23 != e23
| e23 = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_502,refute_3_503]) ).
cnf(refute_3_505,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_3_504,refute_3_492]) ).
cnf(refute_3_506,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_505]) ).
cnf(refute_3_507,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_3_146]) ).
cnf(refute_3_508,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_3_507,refute_3_10]) ).
cnf(refute_3_509,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_147]) ).
cnf(refute_3_510,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_3_511,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_510]) ).
cnf(refute_3_512,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_3_511,refute_3_509]) ).
cnf(refute_3_513,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_3_514,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_3_513,refute_3_512]) ).
cnf(refute_3_515,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_3_508,refute_3_514]) ).
cnf(refute_3_516,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_515,refute_3_47]) ).
cnf(refute_3_517,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_516,refute_3_49]) ).
cnf(refute_3_518,plain,
( h4(op1(e10,e13)) != e23
| h4(op1(e10,e13)) = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_517,refute_3_405]) ).
cnf(refute_3_519,plain,
( h4(op1(e10,e13)) != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_3_518,refute_3_347]) ).
cnf(refute_3_520,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_3_148]) ).
cnf(refute_3_521,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_149]) ).
cnf(refute_3_522,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_3_151]) ).
cnf(refute_3_523,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_3_152]) ).
cnf(refute_3_524,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_153]) ).
cnf(refute_3_525,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_3_526,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_525]) ).
cnf(refute_3_527,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_3_526,refute_3_524]) ).
cnf(refute_3_528,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_3_529,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_3_528,refute_3_527]) ).
cnf(refute_3_530,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_3_523,refute_3_529]) ).
cnf(refute_3_531,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_154]) ).
cnf(refute_3_532,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_533,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_532]) ).
cnf(refute_3_534,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_3_533,refute_3_531]) ).
cnf(refute_3_535,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_530,refute_3_534]) ).
cnf(refute_3_536,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_3_537,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_3_535,refute_3_536]) ).
cnf(refute_3_538,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_3_537,refute_3_522]) ).
cnf(refute_3_539,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_3_540,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_539]) ).
cnf(refute_3_541,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_540,refute_3_538]) ).
cnf(refute_3_542,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_3_543,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_542,refute_3_541]) ).
cnf(refute_3_544,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_545,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_3_543,refute_3_544]) ).
cnf(refute_3_546,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_3_545,refute_3_521]) ).
cnf(refute_3_547,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_3_155]) ).
cnf(refute_3_548,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_3_156]) ).
cnf(refute_3_549,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_3_550,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_548,refute_3_549]) ).
cnf(refute_3_551,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_3_550,refute_3_547]) ).
cnf(refute_3_552,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_3_157]) ).
cnf(refute_3_553,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_3_552,refute_3_448]) ).
cnf(refute_3_554,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_3_555,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_3_553,refute_3_554]) ).
cnf(refute_3_556,plain,
( e12 != e12
| op1(e11,e13) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_3_555,refute_3_551]) ).
cnf(refute_3_557,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_3_558,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_556]) ).
cnf(refute_3_559,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_3_560,plain,
( e10 != e10
| op1(e11,e13) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_558,refute_3_559]) ).
cnf(refute_3_561,plain,
( e10 != e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_560,refute_3_546]) ).
cnf(refute_3_562,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_561]) ).
cnf(refute_3_563,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_3_564,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_3_562,refute_3_563]) ).
cnf(refute_3_565,plain,
( op1(e10,e13) != e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_564,refute_3_520]) ).
cnf(refute_3_566,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_158]) ).
cnf(refute_3_567,plain,
( op1(e10,e13) != e10
| op1(e12,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_568,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_3_543,refute_3_567]) ).
cnf(refute_3_569,plain,
( op1(e10,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_3_568,refute_3_566]) ).
cnf(refute_3_570,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_3_571,plain,
( e10 != e10
| op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_418,refute_3_570]) ).
cnf(refute_3_572,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_571,refute_3_569]) ).
cnf(refute_3_573,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_572]) ).
cnf(refute_3_574,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_3_575,plain,
( e13 != e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_573,refute_3_574]) ).
cnf(refute_3_576,plain,
( e13 != e13
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_575,refute_3_565]) ).
cnf(refute_3_577,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_542,refute_3_576]) ).
cnf(refute_3_578,plain,
( h4(e12) != e23
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_577,refute_3_427]) ).
cnf(refute_3_579,plain,
( h4(e12) != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_578,refute_3_519]) ).
cnf(refute_3_580,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_431,refute_3_579]) ).
cnf(refute_3_581,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_580]) ).
cnf(refute_3_582,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).
cnf(refute_3_583,plain,
( op2(e23,e20) != e22
| e23 = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_581,refute_3_582]) ).
cnf(refute_3_584,plain,
( e23 = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_506,refute_3_583]) ).
cnf(refute_3_585,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_3_584,refute_3_21]) ).
cnf(refute_3_586,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_3_585,refute_3_466]) ).
cnf(refute_3_587,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_3_159]) ).
cnf(refute_3_588,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_3_589,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_463,refute_3_588]) ).
cnf(refute_3_590,plain,
( op2(e20,e22) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_589,refute_3_587]) ).
cnf(refute_3_591,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_3_168]) ).
cnf(refute_3_592,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_3_170]) ).
cnf(refute_3_593,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_3_171]) ).
cnf(refute_3_594,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_3_172]) ).
cnf(refute_3_595,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_3_596,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_595]) ).
cnf(refute_3_597,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_3_594,refute_3_596]) ).
cnf(refute_3_598,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_597,refute_3_313]) ).
cnf(refute_3_599,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_173]) ).
cnf(refute_3_600,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_601,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_600]) ).
cnf(refute_3_602,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_3_601,refute_3_599]) ).
cnf(refute_3_603,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_3_604,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_603]) ).
cnf(refute_3_605,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_3_604,refute_3_602]) ).
cnf(refute_3_606,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_598,refute_3_605]) ).
cnf(refute_3_607,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_3_608,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_3_606,refute_3_607]) ).
cnf(refute_3_609,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_3_608,refute_3_593]) ).
cnf(refute_3_610,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_3_611,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_3_609,refute_3_610]) ).
cnf(refute_3_612,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_3_592,refute_3_611]) ).
cnf(refute_3_613,plain,
e21 != e22,
inference(canonicalize,[],[normalize_3_174]) ).
cnf(refute_3_614,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_612,refute_3_613]) ).
cnf(refute_3_615,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_3_614,refute_3_591]) ).
cnf(refute_3_616,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_3_175]) ).
cnf(refute_3_617,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_3_616,refute_3_17]) ).
cnf(refute_3_618,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_3_617,refute_3_21]) ).
cnf(refute_3_619,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_3_620,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_166,refute_3_619]) ).
cnf(refute_3_621,plain,
( e20 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_3_618,refute_3_620]) ).
cnf(refute_3_622,plain,
e20 != e22,
inference(canonicalize,[],[normalize_3_176]) ).
cnf(refute_3_623,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_621,refute_3_622]) ).
cnf(refute_3_624,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_623,refute_3_464]) ).
cnf(refute_3_625,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_624,refute_3_615]) ).
cnf(refute_3_626,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_3_178]) ).
cnf(refute_3_627,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_3_628,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_627]) ).
cnf(refute_3_629,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_3_626,refute_3_628]) ).
cnf(refute_3_630,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_179]) ).
cnf(refute_3_631,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_632,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_631]) ).
cnf(refute_3_633,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_3_632,refute_3_630]) ).
cnf(refute_3_634,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_635,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_634]) ).
cnf(refute_3_636,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_3_637,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_636]) ).
cnf(refute_3_638,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_3_637,refute_3_635]) ).
cnf(refute_3_639,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_3_638,refute_3_633]) ).
cnf(refute_3_640,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_3_629,refute_3_639]) ).
cnf(refute_3_641,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_3_180]) ).
cnf(refute_3_642,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_643,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_642]) ).
cnf(refute_3_644,plain,
op2(e21,e20) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_3_643,refute_3_641]) ).
cnf(refute_3_645,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_3_181]) ).
cnf(refute_3_646,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_647,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_646]) ).
cnf(refute_3_648,plain,
op2(e21,e22) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_3_647,refute_3_645]) ).
cnf(refute_3_649,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_3_183]) ).
cnf(refute_3_650,plain,
( e22 != h4(e10)
| op2(e21,e22) != e22
| op2(e21,e22) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_651,plain,
( e22 != h4(e10)
| op2(e21,e22) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_649,refute_3_650]) ).
cnf(refute_3_652,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_3_651,refute_3_648]) ).
cnf(refute_3_653,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_3_184]) ).
cnf(refute_3_654,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_3_185]) ).
cnf(refute_3_655,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_3_654,refute_3_270]) ).
cnf(refute_3_656,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_655,refute_3_605]) ).
cnf(refute_3_657,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_3_658,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_3_656,refute_3_657]) ).
cnf(refute_3_659,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_3_658,refute_3_653]) ).
cnf(refute_3_660,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_661,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_660]) ).
cnf(refute_3_662,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_661,refute_3_659]) ).
cnf(refute_3_663,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_662]) ).
cnf(refute_3_664,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_3_186]) ).
cnf(refute_3_665,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_3_666,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_665]) ).
cnf(refute_3_667,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_664,refute_3_666]) ).
cnf(refute_3_668,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_3_669,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_668]) ).
cnf(refute_3_670,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_3_667,refute_3_669]) ).
cnf(refute_3_671,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_3_672,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_671]) ).
cnf(refute_3_673,plain,
( e21 = e22
| h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_3_670,refute_3_672]) ).
cnf(refute_3_674,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_673,refute_3_613]) ).
cnf(refute_3_675,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_3_676,plain,
( op2(e22,e23) != e20
| e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_3_674,refute_3_675]) ).
cnf(refute_3_677,plain,
( e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_3_663,refute_3_676]) ).
cnf(refute_3_678,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_679,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_678,refute_3_622]) ).
cnf(refute_3_680,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_3_677,refute_3_679]) ).
cnf(refute_3_681,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_3_682,plain,
( op2(e20,e23) != e23
| e22 = e23
| h4(e10) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_680,refute_3_681]) ).
cnf(refute_3_683,plain,
( e22 = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_289,refute_3_682]) ).
cnf(refute_3_684,plain,
( h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_683,refute_3_19]) ).
cnf(refute_3_685,plain,
( e22 != e22
| h4(e10) != e22
| e22 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_3_686,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_3_684,refute_3_685]) ).
cnf(refute_3_687,plain,
( e22 != e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_3_686,refute_3_652]) ).
cnf(refute_3_688,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_3_689,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_687]) ).
cnf(refute_3_690,plain,
( h4(e10) != e23
| op2(e21,e20) != e23
| op2(e21,e20) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_3_691,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_689,refute_3_690]) ).
cnf(refute_3_692,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_3_691,refute_3_644]) ).
cnf(refute_3_693,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_3_187]) ).
cnf(refute_3_694,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_3_693,refute_3_474]) ).
cnf(refute_3_695,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_3_188]) ).
cnf(refute_3_696,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_3_697,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_696]) ).
cnf(refute_3_698,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_3_697,refute_3_695]) ).
cnf(refute_3_699,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_3_694,refute_3_698]) ).
cnf(refute_3_700,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_3_189]) ).
cnf(refute_3_701,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_3_190]) ).
cnf(refute_3_702,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_3_703,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_3_701,refute_3_702]) ).
cnf(refute_3_704,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_3_703,refute_3_700]) ).
cnf(refute_3_705,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_3_191]) ).
cnf(refute_3_706,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_705,refute_3_666]) ).
cnf(refute_3_707,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_3_706,refute_3_669]) ).
cnf(refute_3_708,plain,
( e20 = e22
| e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_3_707,refute_3_620]) ).
cnf(refute_3_709,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_708,refute_3_622]) ).
cnf(refute_3_710,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_709,refute_3_613]) ).
cnf(refute_3_711,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_3_712,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_3_710,refute_3_711]) ).
cnf(refute_3_713,plain,
( e22 != e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_3_712,refute_3_704]) ).
cnf(refute_3_714,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_713]) ).
cnf(refute_3_715,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_3_716,plain,
( op2(e23,e20) != e23
| e22 = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_714,refute_3_715]) ).
cnf(refute_3_717,plain,
( e22 = e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_699,refute_3_716]) ).
cnf(refute_3_718,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_717,refute_3_19]) ).
cnf(refute_3_719,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_720,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_718,refute_3_719]) ).
cnf(refute_3_721,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_720,refute_3_692]) ).
cnf(refute_3_722,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_721]) ).
cnf(refute_3_723,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_3_722,refute_3_490]) ).
cnf(refute_3_724,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_3_723,refute_3_470]) ).
cnf(refute_3_725,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_689,refute_3_345]) ).
cnf(refute_3_726,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_3_725,refute_3_344]) ).
cnf(refute_3_727,plain,
( h4(e12) != op2(e23,e21)
| op1(e10,e13) != e12
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_3_728,plain,
( h4(e12) != op2(e23,e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_577,refute_3_727]) ).
cnf(refute_3_729,plain,
( h4(e12) != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_3_728,refute_3_726]) ).
cnf(refute_3_730,plain,
( e23 != op2(e23,e21)
| h4(e12) != e23
| h4(e12) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_3_731,plain,
( e23 != op2(e23,e21)
| h4(e12) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_254,refute_3_730]) ).
cnf(refute_3_732,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_3_731,refute_3_729]) ).
cnf(refute_3_733,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_3_734,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_517,refute_3_733]) ).
cnf(refute_3_735,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_3_734,refute_3_732]) ).
cnf(refute_3_736,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_735]) ).
cnf(refute_3_737,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_736,refute_3_503]) ).
cnf(refute_3_738,plain,
( e23 != e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_3_737,refute_3_724]) ).
cnf(refute_3_739,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_738]) ).
cnf(refute_3_740,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_3_739,refute_3_640]) ).
cnf(refute_3_741,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_740,refute_3_625]) ).
cnf(refute_3_742,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_3_192]) ).
cnf(refute_3_743,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_3_744,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_3_745,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_3_743,refute_3_744]) ).
cnf(refute_3_746,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_745]) ).
cnf(refute_3_747,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_3_748,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_749,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_3_747,refute_3_748]) ).
cnf(refute_3_750,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_749]) ).
cnf(refute_3_751,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_3_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_3_752,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_3_750,refute_3_751]) ).
cnf(refute_3_753,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_3_746,refute_3_752]) ).
cnf(refute_3_754,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_3_755,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_3_753,refute_3_754]) ).
cnf(refute_3_756,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_3_742,refute_3_755]) ).
cnf(refute_3_757,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_3_193]) ).
cnf(refute_3_758,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_3_759,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_758]) ).
cnf(refute_3_760,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_3_759,refute_3_757]) ).
cnf(refute_3_761,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_3_205]) ).
cnf(refute_3_762,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_3_207]) ).
cnf(refute_3_763,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_3_762,refute_3_270]) ).
cnf(refute_3_764,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_3_209]) ).
cnf(refute_3_765,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_3_210]) ).
cnf(refute_3_766,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_3_767,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_765,refute_3_766]) ).
cnf(refute_3_768,plain,
( op2(e23,e23) != e21
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_3_767,refute_3_764]) ).
cnf(refute_3_769,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_3_770,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_276,refute_3_769]) ).
cnf(refute_3_771,plain,
( e21 != e21
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_770,refute_3_768]) ).
cnf(refute_3_772,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_771]) ).
cnf(refute_3_773,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_3_772,refute_3_763]) ).
cnf(refute_3_774,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_3_761,refute_3_773]) ).
cnf(refute_3_775,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_3_212]) ).
cnf(refute_3_776,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_3_775,refute_3_620]) ).
cnf(refute_3_777,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_776,refute_3_622]) ).
cnf(refute_3_778,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_3_774,refute_3_777]) ).
cnf(refute_3_779,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_3_213]) ).
cnf(refute_3_780,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_779,refute_3_75]) ).
cnf(refute_3_781,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_780,refute_3_169]) ).
cnf(refute_3_782,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_3_783,plain,
( op2(e20,e23) != e23
| e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_781,refute_3_782]) ).
cnf(refute_3_784,plain,
( e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_778,refute_3_783]) ).
cnf(refute_3_785,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_784,refute_3_486]) ).
cnf(refute_3_786,plain,
( e20 != h2(e13)
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_3_787,plain,
( e20 != h2(e13)
| h1(e13) = e20
| op2(e20,e21) = h2(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_3_785,refute_3_786]) ).
cnf(refute_3_788,plain,
( e20 != h2(e13)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_3_787,refute_3_760]) ).
cnf(refute_3_789,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_3_214]) ).
cnf(refute_3_790,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_789,refute_3_75]) ).
cnf(refute_3_791,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_792,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_791]) ).
cnf(refute_3_793,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_3_790,refute_3_792]) ).
cnf(refute_3_794,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_3_795,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_794]) ).
cnf(refute_3_796,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_3_793,refute_3_795]) ).
cnf(refute_3_797,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_3_798,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_797]) ).
cnf(refute_3_799,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_796,refute_3_798]) ).
cnf(refute_3_800,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_799,refute_3_488]) ).
cnf(refute_3_801,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_3_802,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_801]) ).
cnf(refute_3_803,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_800,refute_3_802]) ).
cnf(refute_3_804,plain,
e20 != e21,
inference(canonicalize,[],[normalize_3_215]) ).
cnf(refute_3_805,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_806,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_805,refute_3_804]) ).
cnf(refute_3_807,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_803,refute_3_806]) ).
cnf(refute_3_808,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_3_216]) ).
cnf(refute_3_809,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_3_808,refute_3_773]) ).
cnf(refute_3_810,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_3_809,refute_3_777]) ).
cnf(refute_3_811,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_3_812,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_810,refute_3_811]) ).
cnf(refute_3_813,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_812,refute_3_807]) ).
cnf(refute_3_814,plain,
( h1(e13) = e20
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_813]) ).
cnf(refute_3_815,plain,
( e20 != e20
| h2(e13) != e20
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_3_816,plain,
( e20 != e20
| e20 = h2(e13)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_814,refute_3_815]) ).
cnf(refute_3_817,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_3_816,refute_3_788]) ).
cnf(refute_3_818,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_86,refute_3_817]) ).
cnf(refute_3_819,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_820,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_818,refute_3_819]) ).
cnf(refute_3_821,plain,
( h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_3_756,refute_3_820]) ).
cnf(refute_3_822,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_823,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_818,refute_3_822]) ).
cnf(refute_3_824,plain,
( h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_3_756,refute_3_823]) ).
cnf(refute_3_825,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_3_217]) ).
cnf(refute_3_826,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_3_827,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_828,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_3_826,refute_3_827]) ).
cnf(refute_3_829,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_828]) ).
cnf(refute_3_830,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_3_831,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_3_829,refute_3_830]) ).
cnf(refute_3_832,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_3_825,refute_3_831]) ).
cnf(refute_3_833,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h1(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_3_834,plain,
op2(h1(e13),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_3_832,refute_3_833]) ).
cnf(refute_3_835,plain,
( h1(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h1(e10)
| h1(e11) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e10)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_3_836,plain,
( h1(e11) != op2(h1(e13),e20)
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e10)) )],[refute_3_834,refute_3_835]) ).
cnf(refute_3_837,plain,
( h1(e11) = h1(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e20)) )],[refute_3_824,refute_3_836]) ).
cnf(refute_3_838,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_839,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_818,refute_3_838]) ).
cnf(refute_3_840,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_3_832,refute_3_839]) ).
cnf(refute_3_841,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_3_842,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_841]) ).
cnf(refute_3_843,plain,
( h1(e10) = h1(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_3_840,refute_3_842]) ).
cnf(refute_3_844,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_3_845,plain,
( h1(e13) = h1(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_3_843,refute_3_844]) ).
cnf(refute_3_846,plain,
( h1(e13) != e20
| h1(e13) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_3_847,plain,
( h1(e13) != e20
| h1(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_3_845,refute_3_846]) ).
cnf(refute_3_848,plain,
( h1(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_818,refute_3_847]) ).
cnf(refute_3_849,plain,
( h1(e10) != e20
| h1(e11) != h1(e10)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_3_850,plain,
( h1(e11) != h1(e10)
| h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_3_848,refute_3_849]) ).
cnf(refute_3_851,plain,
( h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_3_837,refute_3_850]) ).
cnf(refute_3_852,plain,
( h1(e11) != e20
| h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_3_853,plain,
( h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_3_851,refute_3_852]) ).
cnf(refute_3_854,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_3_821,refute_3_853]) ).
cnf(refute_3_855,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_3_218]) ).
cnf(refute_3_856,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_3_857,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_810,refute_3_856]) ).
cnf(refute_3_858,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_3_857,refute_3_855]) ).
cnf(refute_3_859,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_3_219]) ).
cnf(refute_3_860,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_3_861,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_860]) ).
cnf(refute_3_862,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_3_861,refute_3_859]) ).
cnf(refute_3_863,plain,
( e20 != op2(e21,e20)
| h1(e13) != e20
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_3_864,plain,
( e20 != op2(e21,e20)
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_818,refute_3_863]) ).
cnf(refute_3_865,plain,
( e20 != op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_3_864,refute_3_862]) ).
cnf(refute_3_866,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_3_220]) ).
cnf(refute_3_867,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_866,refute_3_479]) ).
cnf(refute_3_868,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_867,refute_3_169]) ).
cnf(refute_3_869,plain,
( e22 != op2(e21,e22)
| op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_3_870,plain,
( e22 != op2(e21,e22)
| op2(e20,e22) = e21
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_868,refute_3_869]) ).
cnf(refute_3_871,plain,
( e22 != op2(e21,e22)
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_870,refute_3_587]) ).
cnf(refute_3_872,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_3_873,plain,
( e22 != e22
| e22 = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_463,refute_3_872]) ).
cnf(refute_3_874,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_3_873,refute_3_871]) ).
cnf(refute_3_875,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_874]) ).
cnf(refute_3_876,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_877,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_875,refute_3_876]) ).
cnf(refute_3_878,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_3_877,refute_3_0]) ).
cnf(refute_3_879,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(canonicalize,[],[normalize_3_221]) ).
cnf(refute_3_880,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_3_881,plain,
( e21 != e21
| op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_879,refute_3_880]) ).
cnf(refute_3_882,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e20) = e20
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_881,refute_3_878]) ).
cnf(refute_3_883,plain,
( op2(e20,e22) = e21
| op2(e21,e20) = e20
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_882]) ).
cnf(refute_3_884,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_3_885,plain,
( e20 != e20
| e20 = op2(e21,e20)
| op2(e20,e22) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_3_883,refute_3_884]) ).
cnf(refute_3_886,plain,
( e20 != e20
| op2(e20,e22) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_3_885,refute_3_865]) ).
cnf(refute_3_887,plain,
( op2(e20,e22) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_86,refute_3_886]) ).
cnf(refute_3_888,plain,
( e23 != e23
| op2(e20,e22) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_887,refute_3_719]) ).
cnf(refute_3_889,plain,
( e23 != e23
| op2(e20,e22) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_888,refute_3_858]) ).
cnf(refute_3_890,plain,
( op2(e20,e22) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_889]) ).
cnf(refute_3_891,plain,
( e22 != h4(e10)
| op2(e21,e20) != e22
| op2(e21,e20) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_892,plain,
( e22 != h4(e10)
| op2(e20,e22) = e21
| op2(e21,e20) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_3_890,refute_3_891]) ).
cnf(refute_3_893,plain,
( e22 != h4(e10)
| op2(e20,e22) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_3_892,refute_3_644]) ).
cnf(refute_3_894,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_3_222]) ).
cnf(refute_3_895,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_896,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_895]) ).
cnf(refute_3_897,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_3_896,refute_3_894]) ).
cnf(refute_3_898,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_899,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_778,refute_3_898]) ).
cnf(refute_3_900,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_3_899,refute_3_897]) ).
cnf(refute_3_901,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_3_223]) ).
cnf(refute_3_902,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_3_903,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_285,refute_3_902]) ).
cnf(refute_3_904,plain,
( h4(e10) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_3_901,refute_3_903]) ).
cnf(refute_3_905,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_3_904,refute_3_628]) ).
cnf(refute_3_906,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_3_905,refute_3_672]) ).
cnf(refute_3_907,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_906,refute_3_287]) ).
cnf(refute_3_908,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_3_907,refute_3_639]) ).
cnf(refute_3_909,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_3_910,plain,
( e23 != e23
| e23 = h4(e10)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_908,refute_3_909]) ).
cnf(refute_3_911,plain,
( e23 != e23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_3_910,refute_3_900]) ).
cnf(refute_3_912,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_911]) ).
cnf(refute_3_913,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_3_912,refute_3_685]) ).
cnf(refute_3_914,plain,
( e22 != e22
| h4(e10) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_3_913,refute_3_893]) ).
cnf(refute_3_915,plain,
( h4(e10) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_914]) ).
cnf(refute_3_916,plain,
( e22 != h4(e10)
| op2(e20,e22) = e22
| op2(e21,e22) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_623,refute_3_650]) ).
cnf(refute_3_917,plain,
( e22 != h4(e10)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_3_916,refute_3_648]) ).
cnf(refute_3_918,plain,
( e22 != e22
| h4(e10) = e20
| op2(e20,e22) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_3_913,refute_3_917]) ).
cnf(refute_3_919,plain,
( h4(e10) = e20
| op2(e20,e22) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_918]) ).
cnf(refute_3_920,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_3_921,plain,
( op2(e20,e22) != e21
| e22 = e21
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_919,refute_3_920]) ).
cnf(refute_3_922,plain,
( e22 = e21
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_915,refute_3_921]) ).
cnf(refute_3_923,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_3_924,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_923,refute_3_613]) ).
cnf(refute_3_925,plain,
( h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_3_922,refute_3_924]) ).
cnf(refute_3_926,plain,
( h4(e10) != e20
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_927,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_925,refute_3_926]) ).
cnf(refute_3_928,plain,
( h4(op1(e10,e11)) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_927]) ).
cnf(refute_3_929,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_3_224]) ).
cnf(refute_3_930,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_931,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_930]) ).
cnf(refute_3_932,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_929,refute_3_931]) ).
cnf(refute_3_933,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_3_932,refute_3_457]) ).
cnf(refute_3_934,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_933,refute_3_287]) ).
cnf(refute_3_935,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_934,refute_3_719]) ).
cnf(refute_3_936,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_935,refute_3_858]) ).
cnf(refute_3_937,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_936]) ).
cnf(refute_3_938,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_937,refute_3_909]) ).
cnf(refute_3_939,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_3_938,refute_3_900]) ).
cnf(refute_3_940,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_939]) ).
cnf(refute_3_941,plain,
( h2(e13) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_942,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_3_940,refute_3_941]) ).
cnf(refute_3_943,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_942]) ).
cnf(refute_3_944,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_3_945,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_3_261,refute_3_944]) ).
cnf(refute_3_946,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h4(op1(e10,e11)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_3_947,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_3_945,refute_3_946]) ).
cnf(refute_3_948,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e12))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) )],[refute_3_943,refute_3_947]) ).
cnf(refute_3_949,plain,
( h4(e10) != e20
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_950,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_925,refute_3_949]) ).
cnf(refute_3_951,plain,
( h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_3_261,refute_3_950]) ).
cnf(refute_3_952,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) != op2(e20,e23)
| h4(op1(e10,e11)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e23)) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_3_953,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| h4(op1(e10,e11)) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e23)) )],[refute_3_951,refute_3_952]) ).
cnf(refute_3_954,plain,
( h4(op1(e10,e11)) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) )],[refute_3_948,refute_3_953]) ).
cnf(refute_3_955,plain,
( h4(op1(e10,e11)) != op2(e20,e23)
| h4(op1(e10,e11)) != op2(e20,h2(e13))
| op2(e20,e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,h2(e13))) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_3_956,plain,
( h4(op1(e10,e11)) != op2(e20,h2(e13))
| op2(e20,e23) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e23)) )],[refute_3_954,refute_3_955]) ).
cnf(refute_3_957,plain,
( op2(e20,e23) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,h2(e13))) )],[refute_3_928,refute_3_956]) ).
cnf(refute_3_958,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_3_225]) ).
cnf(refute_3_959,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e23
| h2(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_960,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_3_940,refute_3_959]) ).
cnf(refute_3_961,plain,
( h2(e10) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_3_122,refute_3_960]) ).
cnf(refute_3_962,plain,
( h2(e10) != op2(e23,e21)
| op2(e23,e21) = h2(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_3_963,plain,
( op2(e23,e21) = h2(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e23,e21)) )],[refute_3_961,refute_3_962]) ).
cnf(refute_3_964,plain,
( op2(e20,e21) != h2(e10)
| op2(e23,e21) != h2(e10)
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_3_965,plain,
( op2(e20,e21) != h2(e10)
| op2(e20,e21) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h2(e10)) )],[refute_3_963,refute_3_964]) ).
cnf(refute_3_966,plain,
( op2(e20,e21) != h2(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_3_965,refute_3_958]) ).
cnf(refute_3_967,plain,
( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_3_226]) ).
cnf(refute_3_968,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_3_969,plain,
( op2(e23,e22) != e20
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_970,plain,
( op2(e23,e22) != e20
| op2(e23,op2(e23,e22)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_3_968,refute_3_969]) ).
cnf(refute_3_971,plain,
op2(e23,op2(e23,e22)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_166,refute_3_970]) ).
cnf(refute_3_972,plain,
( op2(e23,e20) != e22
| op2(e23,op2(e23,e22)) != op2(e23,e20)
| op2(e23,op2(e23,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_3_973,plain,
( op2(e23,e20) != e22
| op2(e23,op2(e23,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e20)) )],[refute_3_971,refute_3_972]) ).
cnf(refute_3_974,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),e22) )],[refute_3_973,refute_3_967]) ).
cnf(refute_3_975,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_3_974,refute_3_773]) ).
cnf(refute_3_976,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_3_975,refute_3_777]) ).
cnf(refute_3_977,plain,
( h2(e10) != op2(e23,e21)
| op2(e23,e21) != e22
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e22) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_3_978,plain,
( h2(e10) != op2(e23,e21)
| h2(e10) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_3_710,refute_3_977]) ).
cnf(refute_3_979,plain,
( h2(e10) = e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e23,e21)) )],[refute_3_961,refute_3_978]) ).
cnf(refute_3_980,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_3_981,plain,
( e22 != e22
| h2(e10) = e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_979,refute_3_980]) ).
cnf(refute_3_982,plain,
( e22 != e22
| h2(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_981,refute_3_976]) ).
cnf(refute_3_983,plain,
( h2(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_982]) ).
cnf(refute_3_984,plain,
( h2(e10) != e22
| op2(e20,e21) != e22
| op2(e20,e21) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_3_985,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = h2(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_3_983,refute_3_984]) ).
cnf(refute_3_986,plain,
( op2(e20,e21) != e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_3_985,refute_3_966]) ).
cnf(refute_3_987,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_3_227]) ).
cnf(refute_3_988,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_3_989,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_988]) ).
cnf(refute_3_990,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_3_987,refute_3_989]) ).
cnf(refute_3_991,plain,
( op2(e20,e23) != e23
| e22 = e23
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_990,refute_3_681]) ).
cnf(refute_3_992,plain,
( e22 = e23
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_778,refute_3_991]) ).
cnf(refute_3_993,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_992,refute_3_19]) ).
cnf(refute_3_994,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_3_228]) ).
cnf(refute_3_995,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_3_994,refute_3_989]) ).
cnf(refute_3_996,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_997,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_996]) ).
cnf(refute_3_998,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_3_995,refute_3_997]) ).
cnf(refute_3_999,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_3_998,refute_3_17]) ).
cnf(refute_3_1000,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_999,refute_3_666]) ).
cnf(refute_3_1001,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_3_1000,refute_3_21]) ).
cnf(refute_3_1002,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_3_1001,refute_3_669]) ).
cnf(refute_3_1003,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_1002,refute_3_613]) ).
cnf(refute_3_1004,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_3_1005,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_875,refute_3_1004]) ).
cnf(refute_3_1006,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1005,refute_3_1003]) ).
cnf(refute_3_1007,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1006]) ).
cnf(refute_3_1008,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_3_1009,plain,
( op2(e20,e22) != e22
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_1007,refute_3_1008]) ).
cnf(refute_3_1010,plain,
( e21 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_993,refute_3_1009]) ).
cnf(refute_3_1011,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_1010,refute_3_613]) ).
cnf(refute_3_1012,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_3_1013,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_1011,refute_3_1012]) ).
cnf(refute_3_1014,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_3_1013,refute_3_986]) ).
cnf(refute_3_1015,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_1014]) ).
cnf(refute_3_1016,plain,
( h2(e13) != e22
| op2(e20,e23) != op2(e20,h2(e13))
| op2(e20,e23) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_1017,plain,
( op2(e20,e23) != op2(e20,h2(e13))
| h1(e13) = e22
| op2(e20,e23) = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_1015,refute_3_1016]) ).
cnf(refute_3_1018,plain,
( h1(e13) = e22
| op2(e20,e23) = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,h2(e13))) )],[refute_3_957,refute_3_1017]) ).
cnf(refute_3_1019,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_3_229]) ).
cnf(refute_3_1020,plain,
( op2(e20,e23) != op2(e20,e22)
| op2(e20,e22) = op2(e20,e23) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_3_1021,plain,
op2(e20,e23) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_3_1020,refute_3_1019]) ).
cnf(refute_3_1022,plain,
( h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e22)) )],[refute_3_1018,refute_3_1021]) ).
cnf(refute_3_1023,plain,
( e20 != op2(e20,h1(e13))
| h1(e13) != e22
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e20,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_1024,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_1022,refute_3_1023]) ).
cnf(refute_3_1025,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_3_854,refute_3_1024]) ).
cnf(refute_3_1026,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_3_1027,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_1026,refute_3_169]) ).
cnf(refute_3_1028,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_3_1025,refute_3_1027]) ).
cnf(refute_3_1029,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_741]) ).
cnf(refute_3_1030,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_3_1031,plain,
( e22 != e22
| op2(e20,e22) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_1029,refute_3_1030]) ).
cnf(refute_3_1032,plain,
( e22 != e22
| op2(e21,e22) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_1031,refute_3_590]) ).
cnf(refute_3_1033,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_1032]) ).
cnf(refute_3_1034,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1033,refute_3_876]) ).
cnf(refute_3_1035,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_3_1034,refute_3_0]) ).
cnf(refute_3_1036,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_3_230]) ).
cnf(refute_3_1037,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_1036,refute_3_106]) ).
cnf(refute_3_1038,plain,
( h2(e13) = e21
| h4(e10) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_3_1037,refute_3_628]) ).
cnf(refute_3_1039,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_3_1038,refute_3_639]) ).
cnf(refute_3_1040,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_3_1041,plain,
( op2(e21,e21) != e22
| h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1039,refute_3_1040]) ).
cnf(refute_3_1042,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_1041,refute_3_615]) ).
cnf(refute_3_1043,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_3_1044,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_54,refute_3_1043]) ).
cnf(refute_3_1045,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_3_1044,refute_3_1042]) ).
cnf(refute_3_1046,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_3_1047,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_1045,refute_3_1046]) ).
cnf(refute_3_1048,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_3_1047,refute_3_924]) ).
cnf(refute_3_1049,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_3_231]) ).
cnf(refute_3_1050,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_3_1051,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_1050]) ).
cnf(refute_3_1052,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_3_1051,refute_3_1049]) ).
cnf(refute_3_1053,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1054,plain,
( h1(e13) != e21
| h1(e13) = e22
| h1(e13) = op2(e20,e22)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_1007,refute_3_1053]) ).
cnf(refute_3_1055,plain,
( h1(e13) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_3_1054,refute_3_1052]) ).
cnf(refute_3_1056,plain,
( h1(e13) != e21
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_3_1057,plain,
( h1(e13) != e21
| e21 = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_1055,refute_3_1056]) ).
cnf(refute_3_1058,plain,
( h1(e13) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_1057,refute_3_613]) ).
cnf(refute_3_1059,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_3_232]) ).
cnf(refute_3_1060,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_3_233]) ).
cnf(refute_3_1061,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_3_614,refute_3_1060]) ).
cnf(refute_3_1062,plain,
( ~ definitionFOFtoCNF_23
| op2(e22,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_740,refute_3_1061]) ).
cnf(refute_3_1063,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1062]) ).
cnf(refute_3_1064,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1065,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_3_1063,refute_3_1064]) ).
cnf(refute_3_1066,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_3_1065,refute_3_1059]) ).
cnf(refute_3_1067,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1068,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_463,refute_3_1067]) ).
cnf(refute_3_1069,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_1068,refute_3_587]) ).
cnf(refute_3_1070,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_3_234]) ).
cnf(refute_3_1071,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_3_1072,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_65,refute_3_1071]) ).
cnf(refute_3_1073,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_3_1070,refute_3_1072]) ).
cnf(refute_3_1074,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_235]) ).
cnf(refute_3_1075,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_1076,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_1075]) ).
cnf(refute_3_1077,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_3_1076,refute_3_1074]) ).
cnf(refute_3_1078,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1079,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_1078]) ).
cnf(refute_3_1080,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_3_1079,refute_3_1077]) ).
cnf(refute_3_1081,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_3_1073,refute_3_1080]) ).
cnf(refute_3_1082,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_3_1083,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_1081,refute_3_1082]) ).
cnf(refute_3_1084,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_1083,refute_3_1069]) ).
cnf(refute_3_1085,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1084]) ).
cnf(refute_3_1086,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_1085,refute_3_464]) ).
cnf(refute_3_1087,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_1086,refute_3_615]) ).
cnf(refute_3_1088,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1087]) ).
cnf(refute_3_1089,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_740,refute_3_1088]) ).
cnf(refute_3_1090,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_3_1091,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_1089,refute_3_1090]) ).
cnf(refute_3_1092,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_1091,refute_3_1066]) ).
cnf(refute_3_1093,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_3_1092,refute_3_1058]) ).
cnf(refute_3_1094,plain,
( h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1093]) ).
cnf(refute_3_1095,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_3_1096,plain,
( e22 != e22
| h2(e13) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_1094,refute_3_1095]) ).
cnf(refute_3_1097,plain,
( e22 != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e20) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_1096,refute_3_1048]) ).
cnf(refute_3_1098,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e20) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_1097]) ).
cnf(refute_3_1099,plain,
( ~ definitionFOFtoCNF_24
| op2(e21,e20) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1098]) ).
cnf(refute_3_1100,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_740,refute_3_1099]) ).
cnf(refute_3_1101,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_1100,refute_3_880]) ).
cnf(refute_3_1102,plain,
( e21 != e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_1101,refute_3_1035]) ).
cnf(refute_3_1103,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1102]) ).
cnf(refute_3_1104,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_3_1103,refute_3_586]) ).
cnf(refute_3_1105,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1104,refute_3_876]) ).
cnf(refute_3_1106,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_3_1105,refute_3_0]) ).
cnf(refute_3_1107,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_3_585,refute_3_177]) ).
cnf(refute_3_1108,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_3_1103,refute_3_1107]) ).
cnf(refute_3_1109,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_1108,refute_3_880]) ).
cnf(refute_3_1110,plain,
( e21 != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_1109,refute_3_1106]) ).
cnf(refute_3_1111,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1110]) ).
cnf(refute_3_1112,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_3_1111,refute_3_449]) ).
cnf(refute_3_1113,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_3_1112,refute_3_443]) ).
cnf(refute_3_1114,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_3_237]) ).
cnf(refute_3_1115,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_3_238]) ).
cnf(refute_3_1116,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_3_240]) ).
cnf(refute_3_1117,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_3_1118,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_1117]) ).
cnf(refute_3_1119,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_3_1116,refute_3_1118]) ).
cnf(refute_3_1120,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_3_1121,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_3_1120,refute_3_212]) ).
cnf(refute_3_1122,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_3_1119,refute_3_1121]) ).
cnf(refute_3_1123,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_1122,refute_3_534]) ).
cnf(refute_3_1124,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_3_1125,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_3_1123,refute_3_1124]) ).
cnf(refute_3_1126,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_3_1125,refute_3_1115]) ).
cnf(refute_3_1127,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_3_1128,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_3_1126,refute_3_1127]) ).
cnf(refute_3_1129,plain,
( e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_3_1114,refute_3_1128]) ).
cnf(refute_3_1130,plain,
e11 != e12,
inference(canonicalize,[],[normalize_3_241]) ).
cnf(refute_3_1131,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_3_1129,refute_3_1130]) ).
cnf(refute_3_1132,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_3_1131,refute_3_1113]) ).
cnf(refute_3_1133,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_3_242]) ).
cnf(refute_3_1134,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_3_254]) ).
cnf(refute_3_1135,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_3_256]) ).
cnf(refute_3_1136,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_3_1135,refute_3_529]) ).
cnf(refute_3_1137,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_3_258]) ).
cnf(refute_3_1138,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_3_259]) ).
cnf(refute_3_1139,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_3_1140,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_3_1138,refute_3_1139]) ).
cnf(refute_3_1141,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_3_1140,refute_3_1137]) ).
cnf(refute_3_1142,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_3_1143,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_1142]) ).
cnf(refute_3_1144,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_1143,refute_3_1141]) ).
cnf(refute_3_1145,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1144]) ).
cnf(refute_3_1146,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_3_1145,refute_3_1136]) ).
cnf(refute_3_1147,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_3_1134,refute_3_1146]) ).
cnf(refute_3_1148,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_3_261]) ).
cnf(refute_3_1149,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_3_1150,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_1149]) ).
cnf(refute_3_1151,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_3_1148,refute_3_1150]) ).
cnf(refute_3_1152,plain,
e10 != e12,
inference(canonicalize,[],[normalize_3_262]) ).
cnf(refute_3_1153,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_3_1151,refute_3_1152]) ).
cnf(refute_3_1154,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_3_1147,refute_3_1153]) ).
cnf(refute_3_1155,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_3_263]) ).
cnf(refute_3_1156,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_3_1155,refute_3_243]) ).
cnf(refute_3_1157,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_3_1158,plain,
( op1(e10,e13) != e13
| e10 = e13
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_1156,refute_3_1157]) ).
cnf(refute_3_1159,plain,
( e10 = e13
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_1154,refute_3_1158]) ).
cnf(refute_3_1160,plain,
e10 != e13,
inference(canonicalize,[],[normalize_3_264]) ).
cnf(refute_3_1161,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_1159,refute_3_1160]) ).
cnf(refute_3_1162,plain,
( e10 != op1(e11,e11)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_3_1163,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_1161,refute_3_1162]) ).
cnf(refute_3_1164,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_3_1163,refute_3_1133]) ).
cnf(refute_3_1165,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_3_265]) ).
cnf(refute_3_1166,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_3_1167,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_1166]) ).
cnf(refute_3_1168,plain,
( op1(e13,e10) != e13
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_3_1165,refute_3_1167]) ).
cnf(refute_3_1169,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_3_1170,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_1169,refute_3_1160]) ).
cnf(refute_3_1171,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_3_1168,refute_3_1170]) ).
cnf(refute_3_1172,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_3_1173,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_1172]) ).
cnf(refute_3_1174,plain,
( op1(e13,e10) != e13
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_1171,refute_3_1173]) ).
cnf(refute_3_1175,plain,
e10 != e11,
inference(canonicalize,[],[normalize_3_266]) ).
cnf(refute_3_1176,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_3_1177,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_3_1176,refute_3_1175]) ).
cnf(refute_3_1178,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_3_1174,refute_3_1177]) ).
cnf(refute_3_1179,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_3_267]) ).
cnf(refute_3_1180,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_3_1179,refute_3_1146]) ).
cnf(refute_3_1181,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_3_1180,refute_3_1153]) ).
cnf(refute_3_1182,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_3_1183,plain,
( e13 != e13
| op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_3_1181,refute_3_1182]) ).
cnf(refute_3_1184,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_3_1183,refute_3_1178]) ).
cnf(refute_3_1185,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_542,refute_3_1184]) ).
cnf(refute_3_1186,plain,
( e10 != e10
| op1(e11,e11) != e10
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_3_1187,plain,
( e10 != e10
| e10 = op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_1185,refute_3_1186]) ).
cnf(refute_3_1188,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_3_1187,refute_3_1164]) ).
cnf(refute_3_1189,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_1188]) ).
cnf(refute_3_1190,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_3_268]) ).
cnf(refute_3_1191,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_3_1192,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_328,refute_3_1191]) ).
cnf(refute_3_1193,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_3_1192,refute_3_252]) ).
cnf(refute_3_1194,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_3_269]) ).
cnf(refute_3_1195,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_3_270]) ).
cnf(refute_3_1196,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_3_1195,refute_3_1146]) ).
cnf(refute_3_1197,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_3_1196,refute_3_1153]) ).
cnf(refute_3_1198,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_3_271]) ).
cnf(refute_3_1199,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_272]) ).
cnf(refute_3_1200,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_3_1201,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_1200]) ).
cnf(refute_3_1202,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_3_1201,refute_3_1199]) ).
cnf(refute_3_1203,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_3_1198,refute_3_1202]) ).
cnf(refute_3_1204,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_273]) ).
cnf(refute_3_1205,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_1206,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_1205]) ).
cnf(refute_3_1207,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_3_1206,refute_3_1204]) ).
cnf(refute_3_1208,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_3_1203,refute_3_1207]) ).
cnf(refute_3_1209,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e12
| op1(e13,op1(e13,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_3_1208,refute_3_1139]) ).
cnf(refute_3_1210,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_3_1209,refute_3_1197]) ).
cnf(refute_3_1211,plain,
( e11 != e11
| op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_1143,refute_3_1210]) ).
cnf(refute_3_1212,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1211]) ).
cnf(refute_3_1213,plain,
( op1(e11,e11) != e12
| op1(e13,e11) != e12
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1214,plain,
( op1(e11,e11) != e12
| op1(e11,e11) = op1(e13,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_3_1212,refute_3_1213]) ).
cnf(refute_3_1215,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_3_1214,refute_3_1194]) ).
cnf(refute_3_1216,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_3_274]) ).
cnf(refute_3_1217,plain,
( op1(e11,e12) != e11
| e13 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_3_1216,refute_3_185]) ).
cnf(refute_3_1218,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_3_1217,refute_3_189]) ).
cnf(refute_3_1219,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_3_1220,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_208,refute_3_1219]) ).
cnf(refute_3_1221,plain,
( op1(e11,e12) != e11
| e11 = e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_3_1218,refute_3_1220]) ).
cnf(refute_3_1222,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_3_1221,refute_3_1130]) ).
cnf(refute_3_1223,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_3_1224,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_305,refute_3_1223]) ).
cnf(refute_3_1225,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_3_1224,refute_3_252]) ).
cnf(refute_3_1226,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1227,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_328,refute_3_1226]) ).
cnf(refute_3_1228,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_3_1227,refute_3_1225]) ).
cnf(refute_3_1229,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1228]) ).
cnf(refute_3_1230,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_3_1231,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_1229,refute_3_1230]) ).
cnf(refute_3_1232,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_1231,refute_3_1222]) ).
cnf(refute_3_1233,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1232]) ).
cnf(refute_3_1234,plain,
( e12 != e12
| op1(e11,e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_3_1235,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_3_1233,refute_3_1234]) ).
cnf(refute_3_1236,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_3_1235,refute_3_1215]) ).
cnf(refute_3_1237,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1236]) ).
cnf(refute_3_1238,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_3_1239,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_1237,refute_3_1238]) ).
cnf(refute_3_1240,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_1239,refute_3_1193]) ).
cnf(refute_3_1241,plain,
( op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1240]) ).
cnf(refute_3_1242,plain,
( op1(e11,e10) != e12
| op1(e11,e12) != e12
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1243,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_1241,refute_3_1242]) ).
cnf(refute_3_1244,plain,
( op1(e11,e10) != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_3_1243,refute_3_1190]) ).
cnf(refute_3_1245,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_275]) ).
cnf(refute_3_1246,plain,
( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1247,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_3_535,refute_3_1246]) ).
cnf(refute_3_1248,plain,
( op1(e12,e10) != e12
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_3_1247,refute_3_1245]) ).
cnf(refute_3_1249,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_3_276]) ).
cnf(refute_3_1250,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_3_277]) ).
cnf(refute_3_1251,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_3_278]) ).
cnf(refute_3_1252,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_3_1253,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_183,refute_3_1252]) ).
cnf(refute_3_1254,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_3_1253,refute_3_1251]) ).
cnf(refute_3_1255,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_3_1250,refute_3_1254]) ).
cnf(refute_3_1256,plain,
( op1(e10,e10) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_3_1257,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_3_1255,refute_3_1256]) ).
cnf(refute_3_1258,plain,
( op1(e10,e10) != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_3_1257,refute_3_1249]) ).
cnf(refute_3_1259,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_1188,refute_3_1258]) ).
cnf(refute_3_1260,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_1259]) ).
cnf(refute_3_1261,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_3_1262,plain,
( e12 != e12
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_3_1260,refute_3_1261]) ).
cnf(refute_3_1263,plain,
( e12 != e12
| op1(e12,e10) = e11
| op1(e12,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_3_1262,refute_3_1248]) ).
cnf(refute_3_1264,plain,
( op1(e12,e10) = e11
| op1(e12,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1263]) ).
cnf(refute_3_1265,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_3_1264,refute_3_544]) ).
cnf(refute_3_1266,plain,
( op1(e11,e13) != e10
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_3_1265,refute_3_521]) ).
cnf(refute_3_1267,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_3_1268,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_1154,refute_3_1267]) ).
cnf(refute_3_1269,plain,
( e13 != op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_1268,refute_3_520]) ).
cnf(refute_3_1270,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_3_1271,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_3_553,refute_3_1270]) ).
cnf(refute_3_1272,plain,
( e13 != e13
| op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_3_1271,refute_3_1269]) ).
cnf(refute_3_1273,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_542,refute_3_1272]) ).
cnf(refute_3_1274,plain,
( op1(e11,e12) != e12
| op1(e11,e13) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1275,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13)
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_3_1273,refute_3_1274]) ).
cnf(refute_3_1276,plain,
( op1(e11,e12) != e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_3_1275,refute_3_547]) ).
cnf(refute_3_1277,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_3_1278,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_1241,refute_3_1277]) ).
cnf(refute_3_1279,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_1278,refute_3_1276]) ).
cnf(refute_3_1280,plain,
( op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1279]) ).
cnf(refute_3_1281,plain,
( e10 != e10
| op1(e10,e10) = e12
| op1(e11,e13) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_1280,refute_3_559]) ).
cnf(refute_3_1282,plain,
( e10 != e10
| op1(e10,e10) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_1281,refute_3_1266]) ).
cnf(refute_3_1283,plain,
( op1(e10,e10) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_422,refute_3_1282]) ).
cnf(refute_3_1284,plain,
( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_3_279]) ).
cnf(refute_3_1285,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_3_1286,plain,
( op1(e13,e12) != e10
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_3_1287,plain,
( op1(e13,e12) != e10
| op1(e13,op1(e13,e12)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_3_1285,refute_3_1286]) ).
cnf(refute_3_1288,plain,
op1(e13,op1(e13,e12)) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_240,refute_3_1287]) ).
cnf(refute_3_1289,plain,
( op1(e13,e10) != e12
| op1(e13,op1(e13,e12)) != op1(e13,e10)
| op1(e13,op1(e13,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1290,plain,
( op1(e13,e10) != e12
| op1(e13,op1(e13,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e10)) )],[refute_3_1288,refute_3_1289]) ).
cnf(refute_3_1291,plain,
( op1(e13,e10) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),e12) )],[refute_3_1290,refute_3_1284]) ).
cnf(refute_3_1292,plain,
( op1(e13,e10) != e12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_3_1291,refute_3_1146]) ).
cnf(refute_3_1293,plain,
( op1(e13,e10) != e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_3_1292,refute_3_1153]) ).
cnf(refute_3_1294,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(canonicalize,[],[normalize_3_280]) ).
cnf(refute_3_1295,plain,
( e12 != e12
| op1(e13,e10) != e12
| op1(e13,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_3_1296,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_3_1294,refute_3_1295]) ).
cnf(refute_3_1297,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_3_1296,refute_3_1293]) ).
cnf(refute_3_1298,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1297]) ).
cnf(refute_3_1299,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_3_1300,plain,
( op1(e12,e10) != e11
| e12 = e11
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_3_1298,refute_3_1299]) ).
cnf(refute_3_1301,plain,
( e12 = e11
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_3_1283,refute_3_1300]) ).
cnf(refute_3_1302,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_3_1303,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_3_1302,refute_3_1130]) ).
cnf(refute_3_1304,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_3_1301,refute_3_1303]) ).
cnf(refute_3_1305,plain,
( e12 != e12
| op1(e11,e10) != e12
| op1(e11,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_3_1306,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_3_1304,refute_3_1305]) ).
cnf(refute_3_1307,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_3_1306,refute_3_1244]) ).
cnf(refute_3_1308,plain,
( op1(e10,e10) = e12
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1307]) ).
cnf(refute_3_1309,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_3_1310,plain,
( op1(e10,e10) != e10
| e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_3_1308,refute_3_1309]) ).
cnf(refute_3_1311,plain,
( e12 = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_1189,refute_3_1310]) ).
cnf(refute_3_1312,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_3_1313,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_3_1312,refute_3_1152]) ).
cnf(refute_3_1314,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_3_1311,refute_3_1313]) ).
cnf(refute_3_1315,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_3_1314,refute_3_1132]) ).
cnf(refute_3_1316,plain,
( op1(e10,e10) != e12
| op1(e10,e12) != e12
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_3_1317,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_1315,refute_3_1316]) ).
cnf(refute_3_1318,plain,
( op1(e10,e10) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_3_1317,refute_3_436]) ).
cnf(refute_3_1319,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_3_281]) ).
cnf(refute_3_1320,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_3_1131,refute_3_1319]) ).
cnf(refute_3_1321,plain,
( ~ definitionFOFtoCNF_8
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_3_1112,refute_3_1320]) ).
cnf(refute_3_1322,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_3_1314,refute_3_1321]) ).
cnf(refute_3_1323,plain,
( op1(e11,e11) != e12
| op1(e11,e12) != e11
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_3_1324,plain,
( op1(e11,e11) != e12
| op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_1322,refute_3_1323]) ).
cnf(refute_3_1325,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_3_1324,refute_3_437]) ).
cnf(refute_3_1326,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_3_1131,refute_3_1325]) ).
cnf(refute_3_1327,plain,
( op1(e11,e11) != e12
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_3_1314,refute_3_1326]) ).
cnf(refute_3_1328,plain,
( op1(e11,e11) != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_3_1112,refute_3_1327]) ).
cnf(refute_3_1329,plain,
( e11 != e11
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_328,refute_3_1230]) ).
cnf(refute_3_1330,plain,
( e11 != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_3_1329,refute_3_1222]) ).
cnf(refute_3_1331,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1330]) ).
cnf(refute_3_1332,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_1331,refute_3_334]) ).
cnf(refute_3_1333,plain,
( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_3_1332,refute_3_437]) ).
cnf(refute_3_1334,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_3_1131,refute_3_1333]) ).
cnf(refute_3_1335,plain,
( ~ definitionFOFtoCNF_9
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_3_1314,refute_3_1334]) ).
cnf(refute_3_1336,plain,
( op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_3_1112,refute_3_1335]) ).
cnf(refute_3_1337,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_3_1336,refute_3_1234]) ).
cnf(refute_3_1338,plain,
( e12 != e12
| op1(e10,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_3_1337,refute_3_1328]) ).
cnf(refute_3_1339,plain,
( e12 != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_3_1338,refute_3_1318]) ).
cnf(refute_3_1340,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_557,refute_3_1339]) ).
cnf(refute_3_1341,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_3_1340,refute_3_435]) ).
cnf(refute_3_1342,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_3_1341,refute_3_177]) ).
cnf(refute_3_1343,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_3_1344,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_305,refute_3_1343]) ).
cnf(refute_3_1345,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_3_261,refute_3_1344]) ).
cnf(refute_3_1346,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_3_1347,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_254,refute_3_1346]) ).
cnf(refute_3_1348,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_3_1349,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_3_945,refute_3_1348]) ).
cnf(refute_3_1350,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_3_1347,refute_3_1349]) ).
cnf(refute_3_1351,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_3_1345,refute_3_1350]) ).
cnf(refute_3_1352,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_689,refute_3_293]) ).
cnf(refute_3_1353,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_3_261,refute_3_1352]) ).
cnf(refute_3_1354,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_3_1353,refute_3_297]) ).
cnf(refute_3_1355,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_3_1356,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_3_1354,refute_3_1355]) ).
cnf(refute_3_1357,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_3_1351,refute_3_1356]) ).
cnf(refute_3_1358,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_1357,refute_3_313]) ).
cnf(refute_3_1359,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_1358,refute_3_1238]) ).
cnf(refute_3_1360,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_1359,refute_3_1193]) ).
cnf(refute_3_1361,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_332,refute_3_1360]) ).
cnf(refute_3_1362,plain,
( op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_3_1361,refute_3_334]) ).
cnf(refute_3_1363,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_3_1362,refute_3_251]) ).
cnf(refute_3_1364,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_3_282]) ).
cnf(refute_3_1365,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_649,refute_3_588]) ).
cnf(refute_3_1366,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_1365,refute_3_587]) ).
cnf(refute_3_1367,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_868,refute_3_1030]) ).
cnf(refute_3_1368,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_1367,refute_3_1366]) ).
cnf(refute_3_1369,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_1368]) ).
cnf(refute_3_1370,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1371,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_1369,refute_3_1370]) ).
cnf(refute_3_1372,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_3_1371,refute_3_1364]) ).
cnf(refute_3_1373,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_3_283]) ).
cnf(refute_3_1374,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_3_284]) ).
cnf(refute_3_1375,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_1374,refute_3_106]) ).
cnf(refute_3_1376,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_285]) ).
cnf(refute_3_1377,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_1378,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_8,refute_3_1377]) ).
cnf(refute_3_1379,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_3_1378,refute_3_1376]) ).
cnf(refute_3_1380,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1381,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_45,refute_3_1380]) ).
cnf(refute_3_1382,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_3_1381,refute_3_1379]) ).
cnf(refute_3_1383,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_3_1375,refute_3_1382]) ).
cnf(refute_3_1384,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_3_1383,refute_3_607]) ).
cnf(refute_3_1385,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_3_1384,refute_3_1373]) ).
cnf(refute_3_1386,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_1385,refute_3_1090]) ).
cnf(refute_3_1387,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_1386,refute_3_1372]) ).
cnf(refute_3_1388,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1387]) ).
cnf(refute_3_1389,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_1390,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_3_1388,refute_3_1389]) ).
cnf(refute_3_1391,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_3_373,refute_3_1390]) ).
cnf(refute_3_1392,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| op1(e10,e11) != e10
| h4(e10) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_3_1393,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(e10) = op2(h4(e10),e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_377,refute_3_1392]) ).
cnf(refute_3_1394,plain,
( h4(e10) = op2(h4(e10),e21)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_3_1391,refute_3_1393]) ).
cnf(refute_3_1395,plain,
( h4(e10) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_3_1396,plain,
( op2(h4(e10),e21) = h4(e10)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),e21)) )],[refute_3_1394,refute_3_1395]) ).
cnf(refute_3_1397,plain,
( h4(op1(e10,e13)) != h4(e10)
| op2(h4(e10),e21) != h4(e10)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_3_1398,plain,
( h4(op1(e10,e13)) != h4(e10)
| h4(op1(e10,e13)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(e10)) )],[refute_3_1396,refute_3_1397]) ).
cnf(refute_3_1399,plain,
( h4(op1(e10,e13)) != h4(e10)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_3_1398,refute_3_344]) ).
cnf(refute_3_1400,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != e23
| h4(op1(e10,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_3_1401,plain,
( h4(op1(e10,e13)) != e23
| h4(op1(e10,e13)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_689,refute_3_1400]) ).
cnf(refute_3_1402,plain,
( h4(op1(e10,e13)) != e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e10)) )],[refute_3_1401,refute_3_1399]) ).
cnf(refute_3_1403,plain,
( h4(e12) != e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_428,refute_3_1402]) ).
cnf(refute_3_1404,plain,
( e23 != e23
| definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_431,refute_3_1403]) ).
cnf(refute_3_1405,plain,
( definitionFOFtoCNF_25
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_433,refute_3_1404]) ).
cnf(refute_3_1406,plain,
( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_3_1405,refute_3_1363]) ).
cnf(refute_3_1407,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_3_1340,refute_3_1406]) ).
cnf(refute_3_1408,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_3_1407,refute_3_640]) ).
cnf(refute_3_1409,plain,
( ~ definitionFOFtoCNF_23
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_1408,refute_3_625]) ).
cnf(refute_3_1410,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1409]) ).
cnf(refute_3_1411,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_3_1412,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_1410,refute_3_1411]) ).
cnf(refute_3_1413,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_3_1412,refute_3_1052]) ).
cnf(refute_3_1414,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_3_286]) ).
cnf(refute_3_1415,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_3_614,refute_3_1414]) ).
cnf(refute_3_1416,plain,
( ~ definitionFOFtoCNF_23
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_1408,refute_3_1415]) ).
cnf(refute_3_1417,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1416]) ).
cnf(refute_3_1418,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1417,refute_3_1040]) ).
cnf(refute_3_1419,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_1418,refute_3_615]) ).
cnf(refute_3_1420,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_3_1044,refute_3_1419]) ).
cnf(refute_3_1421,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1420]) ).
cnf(refute_3_1422,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_1408,refute_3_1421]) ).
cnf(refute_3_1423,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_463,refute_3_1004]) ).
cnf(refute_3_1424,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1423,refute_3_1003]) ).
cnf(refute_3_1425,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1424]) ).
cnf(refute_3_1426,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_1425,refute_3_464]) ).
cnf(refute_3_1427,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_3_1426,refute_3_615]) ).
cnf(refute_3_1428,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_3_1408,refute_3_1427]) ).
cnf(refute_3_1429,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_3_1028,refute_3_1428]) ).
cnf(refute_3_1430,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_1429,refute_3_1095]) ).
cnf(refute_3_1431,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_1430,refute_3_1422]) ).
cnf(refute_3_1432,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_1431,refute_3_1413]) ).
cnf(refute_3_1433,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_688,refute_3_1432]) ).
cnf(refute_3_1434,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_3_1433,refute_3_1342]) ).
cnf(refute_3_1435,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_3_1436,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_1434,refute_3_1435]) ).
cnf(refute_3_1437,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_3_1341,refute_3_466]) ).
cnf(refute_3_1438,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_3_1433,refute_3_1437]) ).
cnf(refute_3_1439,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_1440,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_1438,refute_3_1439]) ).
cnf(refute_3_1441,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_3_1440,refute_3_1436]) ).
cnf(refute_3_1442,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_3_1441,refute_3_0]) ).
cnf(refute_3_1443,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_150,refute_3_1442]) ).
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,
( 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_1,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_4_3,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_4_4,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_4_5,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_4_6,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_4_4,normalize_4_5]) ).
fof(normalize_4_7,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_4_3,normalize_4_6,normalize_4_5]) ).
fof(normalize_4_8,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_4_9,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_4_7,normalize_4_8]) ).
fof(normalize_4_10,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_2,normalize_4_9,normalize_4_6,normalize_4_5,normalize_4_8]) ).
fof(normalize_4_11,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_4_12,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_4_13,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_4_11,normalize_4_12]) ).
fof(normalize_4_14,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_10,normalize_4_13,normalize_4_12]) ).
fof(normalize_4_15,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_4_16,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_14,normalize_4_15]) ).
fof(normalize_4_17,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_4_16]) ).
fof(normalize_4_18,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_4_17]) ).
fof(normalize_4_19,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_9]) ).
fof(normalize_4_20,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_21,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_8]) ).
fof(normalize_4_22,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_21]) ).
fof(normalize_4_23,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_4_24,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_4_23]) ).
fof(normalize_4_25,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_4_26,plain,
e12 != e13,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_27,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_4_23]) ).
fof(normalize_4_28,plain,
e11 != e13,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_29,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_6]) ).
fof(normalize_4_30,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_31,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_5]) ).
fof(normalize_4_32,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_33,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_34,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_35,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_13]) ).
fof(normalize_4_36,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_4_35]) ).
fof(normalize_4_37,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_12]) ).
fof(normalize_4_38,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_4_37]) ).
fof(normalize_4_39,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_40,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_4_23]) ).
fof(normalize_4_41,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_42,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_43,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_4_44,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_4_43]) ).
fof(normalize_4_45,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_4_46,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_47,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_4_48,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_49,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_42,normalize_4_44,normalize_4_46,normalize_4_48]) ).
fof(normalize_4_50,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_51,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_4_52,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_4_51]) ).
fof(normalize_4_53,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_54,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_4_55,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_56,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_4_51]) ).
fof(normalize_4_57,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_58,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_15]) ).
fof(normalize_4_59,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_4_58]) ).
fof(normalize_4_60,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_61,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_4_51]) ).
fof(normalize_4_62,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_4_58]) ).
fof(normalize_4_63,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_64,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_65,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_66,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_67,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_4_68,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_69,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_4_51]) ).
fof(normalize_4_70,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_71,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_72,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_73,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_74,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_75,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_76,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_77,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_78,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_4_79,plain,
e20 != e23,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_80,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_81,plain,
e21 != e23,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_82,plain,
e21 != e22,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_83,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_84,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_85,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_86,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_87,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_88,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_89,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_90,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_91,plain,
e20 != e22,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_92,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_4_93,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_4_92]) ).
fof(normalize_4_94,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_4_43]) ).
fof(normalize_4_95,plain,
e22 != e23,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_96,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_97,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_98,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_99,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_100,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_101,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_102,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_103,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_104,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_105,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_106,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_107,plain,
e20 != e21,
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_108,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_4_92]) ).
fof(normalize_4_109,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_110,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_111,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_113,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_114,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_115,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_116,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_117,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_118,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_4_67]) ).
fof(normalize_4_119,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_120,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_121,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_122,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_123,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_124,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_125,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_4_126,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_4_127,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_4_125,normalize_4_126]) ).
fof(normalize_4_128,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_127]) ).
fof(normalize_4_129,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_4_128]) ).
fof(normalize_4_130,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_4_131,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_4_130]) ).
fof(normalize_4_132,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_4_131,normalize_4_16,normalize_4_13,normalize_4_9,normalize_4_6,normalize_4_5,normalize_4_8,normalize_4_15,normalize_4_12]) ).
fof(normalize_4_133,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_4_134,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_4_135,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_4_136,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_4_134,normalize_4_135]) ).
fof(normalize_4_137,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_133,normalize_4_136,normalize_4_135]) ).
fof(normalize_4_138,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_4_139,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_137,normalize_4_138]) ).
fof(normalize_4_140,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_4_132,normalize_4_139,normalize_4_136,normalize_4_138,normalize_4_135]) ).
fof(normalize_4_141,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_4_142,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_4_143,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_4_141,normalize_4_142]) ).
fof(normalize_4_144,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_4_140,normalize_4_143,normalize_4_142]) ).
fof(normalize_4_145,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_4_146,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_4_144,normalize_4_145]) ).
fof(normalize_4_147,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_4_146]) ).
fof(normalize_4_148,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_4_147]) ).
fof(normalize_4_149,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_4_143]) ).
fof(normalize_4_150,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_4_149]) ).
fof(normalize_4_151,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_152,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_142]) ).
fof(normalize_4_153,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_4_152]) ).
fof(normalize_4_154,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_4_152]) ).
fof(normalize_4_155,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_4_145]) ).
fof(normalize_4_156,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_4_155]) ).
fof(normalize_4_157,plain,
e10 != e12,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_158,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_159,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_126]) ).
fof(normalize_4_160,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_4_159]) ).
fof(normalize_4_161,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_4_159]) ).
fof(normalize_4_162,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_163,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_4_139]) ).
fof(normalize_4_164,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_4_163]) ).
fof(normalize_4_165,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_138]) ).
fof(normalize_4_166,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_4_165]) ).
fof(normalize_4_167,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_4_165]) ).
fof(normalize_4_168,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_169,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_4_168]) ).
fof(normalize_4_170,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_171,plain,
e11 != e12,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_172,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_173,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_174,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_175,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_176,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_136]) ).
fof(normalize_4_177,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_4_176]) ).
fof(normalize_4_178,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_179,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_4_135]) ).
fof(normalize_4_180,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_4_179]) ).
fof(normalize_4_181,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_4_168]) ).
fof(normalize_4_182,plain,
e10 != e11,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_183,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_184,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_185,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_4_179]) ).
fof(normalize_4_186,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_187,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_4_168]) ).
fof(normalize_4_188,plain,
( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_4_179]) ).
fof(normalize_4_189,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_4_168]) ).
fof(normalize_4_190,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_4_191,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_190,normalize_4_127,normalize_4_126]) ).
fof(normalize_4_192,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_4_193,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_191,normalize_4_192]) ).
fof(normalize_4_194,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_4_193]) ).
fof(normalize_4_195,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_4_194]) ).
fof(normalize_4_196,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_192]) ).
fof(normalize_4_197,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_4_196]) ).
fof(normalize_4_198,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_4_196]) ).
fof(normalize_4_199,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_200,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_4_92]) ).
fof(normalize_4_201,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_4_202,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_4_203,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_4_204,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_4_205,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_4_203,normalize_4_204]) ).
fof(normalize_4_206,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_4_202,normalize_4_205,normalize_4_204]) ).
fof(normalize_4_207,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_4_208,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_4_206,normalize_4_207]) ).
fof(normalize_4_209,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_201,normalize_4_208,normalize_4_205,normalize_4_204,normalize_4_207]) ).
fof(normalize_4_210,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_4_211,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_4_212,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_4_210,normalize_4_211]) ).
fof(normalize_4_213,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_209,normalize_4_212,normalize_4_211]) ).
fof(normalize_4_214,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_4_215,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_213,normalize_4_214]) ).
fof(normalize_4_216,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_4_200,normalize_4_215,normalize_4_212,normalize_4_208,normalize_4_205,normalize_4_204,normalize_4_207,normalize_4_214,normalize_4_211]) ).
fof(normalize_4_217,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_4_216,normalize_4_193,normalize_4_127,normalize_4_192,normalize_4_126]) ).
fof(normalize_4_218,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_4_219,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_4_220,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_4_218,normalize_4_219]) ).
fof(normalize_4_221,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_4_217,normalize_4_220,normalize_4_219]) ).
fof(normalize_4_222,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_4_223,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_4_221,normalize_4_222]) ).
fof(normalize_4_224,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_4_223]) ).
fof(normalize_4_225,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_4_224]) ).
fof(normalize_4_226,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_4_220]) ).
fof(normalize_4_227,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_4_226]) ).
fof(normalize_4_228,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_219]) ).
fof(normalize_4_229,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_4_228]) ).
fof(normalize_4_230,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_4_228]) ).
fof(normalize_4_231,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_4_222]) ).
fof(normalize_4_232,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_4_231]) ).
fof(normalize_4_233,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_234,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_4_224]) ).
fof(normalize_4_235,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_4_194]) ).
fof(normalize_4_236,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_4_70]) ).
fof(normalize_4_237,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_214]) ).
fof(normalize_4_238,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_4_237]) ).
fof(normalize_4_239,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_4_215]) ).
fof(normalize_4_240,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_4_239]) ).
fof(normalize_4_241,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_208]) ).
fof(normalize_4_242,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_4_241]) ).
fof(normalize_4_243,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_207]) ).
fof(normalize_4_244,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_4_243]) ).
fof(normalize_4_245,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_205]) ).
fof(normalize_4_246,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_4_245]) ).
fof(normalize_4_247,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_204]) ).
fof(normalize_4_248,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_4_247]) ).
fof(normalize_4_249,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_4_43]) ).
fof(normalize_4_250,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_4_247]) ).
fof(normalize_4_251,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_4_43]) ).
fof(normalize_4_252,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_253,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_254,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_4_245]) ).
fof(normalize_4_255,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_212]) ).
fof(normalize_4_256,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_4_255]) ).
fof(normalize_4_257,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_4_211]) ).
fof(normalize_4_258,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_4_257]) ).
fof(normalize_4_259,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_4_17]) ).
cnf(refute_4_0,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_2,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_3,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_22]) ).
cnf(refute_4_4,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_4_24]) ).
cnf(refute_4_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_5,refute_4_6]) ).
cnf(refute_4_8,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_4_9,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_4_4,refute_4_8]) ).
cnf(refute_4_10,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_4_11,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_10]) ).
cnf(refute_4_12,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_4_3,refute_4_11]) ).
cnf(refute_4_13,plain,
e12 != e13,
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_14,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_4_15,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_14,refute_4_13]) ).
cnf(refute_4_16,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_4_12,refute_4_15]) ).
cnf(refute_4_17,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_16,refute_4_2]) ).
cnf(refute_4_18,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_4_27]) ).
cnf(refute_4_19,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_4_20,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_21,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_19,refute_4_20]) ).
cnf(refute_4_22,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_21]) ).
cnf(refute_4_23,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_4_24,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_25,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_23,refute_4_24]) ).
cnf(refute_4_26,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_25]) ).
cnf(refute_4_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_7,refute_4_27]) ).
cnf(refute_4_29,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_30,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_26,refute_4_29]) ).
cnf(refute_4_31,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_4_22,refute_4_30]) ).
cnf(refute_4_32,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_4_33,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_4_31,refute_4_32]) ).
cnf(refute_4_34,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_18,refute_4_33]) ).
cnf(refute_4_35,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_36,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_4_34,refute_4_35]) ).
cnf(refute_4_37,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_4_38,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_36,refute_4_37]) ).
cnf(refute_4_39,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_17,refute_4_38]) ).
cnf(refute_4_40,plain,
e11 != e13,
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_41,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_39,refute_4_40]) ).
cnf(refute_4_42,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_4_30]) ).
cnf(refute_4_43,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_4_32]) ).
cnf(refute_4_44,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_4_33]) ).
cnf(refute_4_45,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_46,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_44,refute_4_45]) ).
cnf(refute_4_47,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_4_46,refute_4_43]) ).
cnf(refute_4_48,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_47,refute_4_42]) ).
cnf(refute_4_49,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_4_34]) ).
cnf(refute_4_50,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_47,refute_4_49]) ).
cnf(refute_4_51,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_4_52,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_50,refute_4_51]) ).
cnf(refute_4_53,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_4_52,refute_4_48]) ).
cnf(refute_4_54,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_53,refute_4_41]) ).
cnf(refute_4_55,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_4_54,refute_4_1]) ).
cnf(refute_4_56,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_4_36]) ).
cnf(refute_4_57,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_58,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_39]) ).
cnf(refute_4_59,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_60,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_4_61,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_62,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_4_60,refute_4_61]) ).
cnf(refute_4_63,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_62]) ).
cnf(refute_4_64,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_4_65,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_4_63,refute_4_64]) ).
cnf(refute_4_66,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_4_59,refute_4_65]) ).
cnf(refute_4_67,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_4_68,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_4_66,refute_4_67]) ).
cnf(refute_4_69,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_4_70,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_68,refute_4_69]) ).
cnf(refute_4_71,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_4_70,refute_4_58]) ).
cnf(refute_4_72,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_57,refute_4_71]) ).
cnf(refute_4_73,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_4_72,refute_4_56]) ).
cnf(refute_4_74,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_75,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_4_76,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_68,refute_4_75]) ).
cnf(refute_4_77,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_4_76,refute_4_74]) ).
cnf(refute_4_78,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_4_73,refute_4_77]) ).
cnf(refute_4_79,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_4_78,refute_4_55]) ).
cnf(refute_4_80,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_81,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_82,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_53]) ).
cnf(refute_4_83,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_84,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_4_82,refute_4_83]) ).
cnf(refute_4_85,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_86,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_87,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_88,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_90,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_91,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_4_89,refute_4_90]) ).
cnf(refute_4_92,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_4_93,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_94,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_94]) ).
cnf(refute_4_96,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_4_97,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_98,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_96,refute_4_97]) ).
cnf(refute_4_99,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_98]) ).
cnf(refute_4_100,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_101,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_99,refute_4_100]) ).
cnf(refute_4_102,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_4_95,refute_4_101]) ).
cnf(refute_4_103,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_4_104,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_4_102,refute_4_103]) ).
cnf(refute_4_105,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_104]) ).
cnf(refute_4_106,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_4_107,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_4_105,refute_4_106]) ).
cnf(refute_4_108,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_85,refute_4_107]) ).
cnf(refute_4_109,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_4_110,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_4_108,refute_4_109]) ).
cnf(refute_4_111,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_112,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_111]) ).
cnf(refute_4_113,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_112]) ).
cnf(refute_4_114,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_4_115,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_116,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_114,refute_4_115]) ).
cnf(refute_4_117,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_113,refute_4_116]) ).
cnf(refute_4_118,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_119,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_120,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_118,refute_4_119]) ).
cnf(refute_4_121,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_113,refute_4_120]) ).
cnf(refute_4_122,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_123,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_121,refute_4_122]) ).
cnf(refute_4_124,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_4_117,refute_4_123]) ).
cnf(refute_4_125,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_126,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_4_124,refute_4_125]) ).
cnf(refute_4_127,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_126]) ).
cnf(refute_4_128,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_129,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_4_127,refute_4_128]) ).
cnf(refute_4_130,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_81,refute_4_129]) ).
cnf(refute_4_131,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_132,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_133,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_131,refute_4_132]) ).
cnf(refute_4_134,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_130,refute_4_133]) ).
cnf(refute_4_135,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(h2(e13),h4(e10)))]]) ).
cnf(refute_4_136,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_4_134,refute_4_135]) ).
cnf(refute_4_137,plain,
h4(op1(e11,e10)) != op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_136,refute_4_80]) ).
cnf(refute_4_138,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_139,plain,
( h4(e10) != op2(h2(e13),h4(e10))
| op1(e11,e10) != e10
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_140,plain,
( h4(e10) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_138,refute_4_139]) ).
cnf(refute_4_141,plain,
( h4(e10) != op2(h2(e13),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_4_140,refute_4_137]) ).
cnf(refute_4_142,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_143,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_4_61]) ).
cnf(refute_4_144,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_145,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_146,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_4_144,refute_4_145]) ).
cnf(refute_4_147,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_143,refute_4_146]) ).
cnf(refute_4_148,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_149,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_4_147,refute_4_148]) ).
cnf(refute_4_150,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_4_142,refute_4_149]) ).
cnf(refute_4_151,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_152,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_153,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_154,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_155,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_154]) ).
cnf(refute_4_156,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_4_155,refute_4_153]) ).
cnf(refute_4_157,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_4_152,refute_4_156]) ).
cnf(refute_4_158,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_157,refute_4_71]) ).
cnf(refute_4_159,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_4_160,plain,
( op1(e10,e12) = e11
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_158,refute_4_159]) ).
cnf(refute_4_161,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_4_160,refute_4_151]) ).
cnf(refute_4_162,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e11
| h4(e11) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_163,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_161,refute_4_162]) ).
cnf(refute_4_164,plain,
( h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_163]) ).
cnf(refute_4_165,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_166,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_130,refute_4_165]) ).
cnf(refute_4_167,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_4_168,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_167]) ).
cnf(refute_4_169,plain,
( h2(e13) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_4_170,plain,
( h2(e13) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_4_168,refute_4_169]) ).
cnf(refute_4_171,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_4_166,refute_4_170]) ).
cnf(refute_4_172,plain,
( h2(e13) = h4(op1(e10,e12))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_4_164,refute_4_171]) ).
cnf(refute_4_173,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_174,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_4_175,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_176,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_4_174,refute_4_175]) ).
cnf(refute_4_177,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_176]) ).
cnf(refute_4_178,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_4_179,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_4_177,refute_4_178]) ).
cnf(refute_4_180,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_4_173,refute_4_179]) ).
cnf(refute_4_181,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_4_68]) ).
cnf(refute_4_182,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_4_69]) ).
cnf(refute_4_183,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_184,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_185,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_4_183,refute_4_184]) ).
cnf(refute_4_186,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_113,refute_4_185]) ).
cnf(refute_4_187,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_188,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_4_186,refute_4_187]) ).
cnf(refute_4_189,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_4_182,refute_4_188]) ).
cnf(refute_4_190,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_4_191,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_4_189,refute_4_190]) ).
cnf(refute_4_192,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_4_193,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_192]) ).
cnf(refute_4_194,plain,
( h4(e10) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_181,refute_4_193]) ).
cnf(refute_4_195,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_4_196,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_195]) ).
cnf(refute_4_197,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_194,refute_4_196]) ).
cnf(refute_4_198,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_4_199,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_198]) ).
cnf(refute_4_200,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_197,refute_4_199]) ).
cnf(refute_4_201,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_4_202,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_201]) ).
cnf(refute_4_203,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_200,refute_4_202]) ).
cnf(refute_4_204,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_71]) ).
cnf(refute_4_205,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_206,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_205]) ).
cnf(refute_4_207,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_4_206,refute_4_204]) ).
cnf(refute_4_208,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_209,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_208]) ).
cnf(refute_4_210,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_4_211,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_210]) ).
cnf(refute_4_212,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_4_211,refute_4_209]) ).
cnf(refute_4_213,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_4_212,refute_4_207]) ).
cnf(refute_4_214,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_4_203,refute_4_213]) ).
cnf(refute_4_215,plain,
( h4(e10) != e22
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_216,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_214,refute_4_215]) ).
cnf(refute_4_217,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_216]) ).
cnf(refute_4_218,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_4_73]) ).
cnf(refute_4_219,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_220,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_219]) ).
cnf(refute_4_221,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_218,refute_4_220]) ).
cnf(refute_4_222,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_74]) ).
cnf(refute_4_223,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_224,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_223]) ).
cnf(refute_4_225,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_4_224,refute_4_222]) ).
cnf(refute_4_226,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_221,refute_4_225]) ).
cnf(refute_4_227,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_226,refute_4_202]) ).
cnf(refute_4_228,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_4_75]) ).
cnf(refute_4_229,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_230,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_229]) ).
cnf(refute_4_231,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_228,refute_4_230]) ).
cnf(refute_4_232,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_231,refute_4_193]) ).
cnf(refute_4_233,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_76]) ).
cnf(refute_4_234,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_4_77]) ).
cnf(refute_4_235,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_4_236,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_237,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_4_235,refute_4_236]) ).
cnf(refute_4_238,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_237]) ).
cnf(refute_4_239,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_4_240,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_4_238,refute_4_239]) ).
cnf(refute_4_241,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_4_234,refute_4_240]) ).
cnf(refute_4_242,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_4_243,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_4_241,refute_4_242]) ).
cnf(refute_4_244,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_245,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_243,refute_4_244]) ).
cnf(refute_4_246,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_4_245,refute_4_233]) ).
cnf(refute_4_247,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_232,refute_4_246]) ).
cnf(refute_4_248,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_249,plain,
( op2(e21,e20) != e23
| e20 = e23
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_247,refute_4_248]) ).
cnf(refute_4_250,plain,
( e20 = e23
| h2(e13) = e20
| h2(e13) = e23
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_227,refute_4_249]) ).
cnf(refute_4_251,plain,
e20 != e23,
inference(canonicalize,[],[normalize_4_79]) ).
cnf(refute_4_252,plain,
( h2(e13) = e20
| h2(e13) = e23
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_250,refute_4_251]) ).
cnf(refute_4_253,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_254,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h2(e13) = e20
| h2(e13) = e23
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_252,refute_4_253]) ).
cnf(refute_4_255,plain,
( h2(e13) = e20
| h2(e13) = e23
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_254]) ).
cnf(refute_4_256,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_80]) ).
cnf(refute_4_257,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_258,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_257]) ).
cnf(refute_4_259,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_4_258,refute_4_256]) ).
cnf(refute_4_260,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_261,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_260]) ).
cnf(refute_4_262,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_4_261,refute_4_259]) ).
cnf(refute_4_263,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_264,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_214,refute_4_263]) ).
cnf(refute_4_265,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_264]) ).
cnf(refute_4_266,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_4_267,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_113,refute_4_266]) ).
cnf(refute_4_268,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_4_265,refute_4_267]) ).
cnf(refute_4_269,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_4_270,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_158,refute_4_269]) ).
cnf(refute_4_271,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_4_268,refute_4_270]) ).
cnf(refute_4_272,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_273,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_143,refute_4_272]) ).
cnf(refute_4_274,plain,
( e23 = e21
| h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_4_271,refute_4_273]) ).
cnf(refute_4_275,plain,
e21 != e23,
inference(canonicalize,[],[normalize_4_81]) ).
cnf(refute_4_276,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_277,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_276,refute_4_275]) ).
cnf(refute_4_278,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_274,refute_4_277]) ).
cnf(refute_4_279,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_280,plain,
( h4(op1(e10,e12)) != e21
| h4(e10) = e20
| h4(e10) = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_278,refute_4_279]) ).
cnf(refute_4_281,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_4_268,refute_4_280]) ).
cnf(refute_4_282,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_283,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_130,refute_4_282]) ).
cnf(refute_4_284,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_281,refute_4_283]) ).
cnf(refute_4_285,plain,
( h2(e13) != e22
| h4(e10) != e22
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_4_286,plain,
( h2(e13) != e22
| h2(e13) = e21
| h2(e13) = h4(e10)
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_284,refute_4_285]) ).
cnf(refute_4_287,plain,
( h2(e13) != e22
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_4_286,refute_4_262]) ).
cnf(refute_4_288,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_289,plain,
( h2(e13) != e22
| e22 = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_287,refute_4_288]) ).
cnf(refute_4_290,plain,
e21 != e22,
inference(canonicalize,[],[normalize_4_82]) ).
cnf(refute_4_291,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_292,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_291,refute_4_290]) ).
cnf(refute_4_293,plain,
( h2(e13) != e22
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_289,refute_4_292]) ).
cnf(refute_4_294,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_83]) ).
cnf(refute_4_295,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_296,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_295]) ).
cnf(refute_4_297,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_4_296,refute_4_294]) ).
cnf(refute_4_298,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_4_84]) ).
cnf(refute_4_299,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_85]) ).
cnf(refute_4_300,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_301,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_300]) ).
cnf(refute_4_302,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_4_301,refute_4_299]) ).
cnf(refute_4_303,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_4_304,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_303]) ).
cnf(refute_4_305,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_4_304,refute_4_302]) ).
cnf(refute_4_306,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_4_298,refute_4_305]) ).
cnf(refute_4_307,plain,
( e22 != h4(e10)
| op2(e20,e23) != e22
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_308,plain,
( e22 != h4(e10)
| op2(e20,e23) = e20
| op2(e20,e23) = e23
| op2(e20,e23) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_306,refute_4_307]) ).
cnf(refute_4_309,plain,
( e22 != h4(e10)
| op2(e20,e23) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_4_308,refute_4_297]) ).
cnf(refute_4_310,plain,
( e22 != e22
| h4(e10) != e22
| e22 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_4_311,plain,
( e22 != e22
| e22 = h4(e10)
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_284,refute_4_310]) ).
cnf(refute_4_312,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_4_311,refute_4_309]) ).
cnf(refute_4_313,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_4_314,plain,
( h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_312]) ).
cnf(refute_4_315,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_86]) ).
cnf(refute_4_316,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_317,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_306,refute_4_316]) ).
cnf(refute_4_318,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_4_317,refute_4_315]) ).
cnf(refute_4_319,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_87]) ).
cnf(refute_4_320,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_321,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_320]) ).
cnf(refute_4_322,plain,
h4(e10) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_321,refute_4_319]) ).
cnf(refute_4_323,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_4_88]) ).
cnf(refute_4_324,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_89]) ).
cnf(refute_4_325,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_326,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_325]) ).
cnf(refute_4_327,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_326,refute_4_324]) ).
cnf(refute_4_328,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_4_329,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_4_328,refute_4_327]) ).
cnf(refute_4_330,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_323,refute_4_329]) ).
cnf(refute_4_331,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_90]) ).
cnf(refute_4_332,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_333,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_332]) ).
cnf(refute_4_334,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_4_333,refute_4_331]) ).
cnf(refute_4_335,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_4_336,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_335]) ).
cnf(refute_4_337,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_4_336,refute_4_334]) ).
cnf(refute_4_338,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_330,refute_4_337]) ).
cnf(refute_4_339,plain,
( h4(e10) != e22
| op2(e22,e23) != e22
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_340,plain,
( h4(e10) != e22
| h4(e10) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_338,refute_4_339]) ).
cnf(refute_4_341,plain,
( h4(e10) != e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_4_340,refute_4_322]) ).
cnf(refute_4_342,plain,
( e22 != e22
| h4(e10) != e22
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_343,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_284,refute_4_342]) ).
cnf(refute_4_344,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_343,refute_4_341]) ).
cnf(refute_4_345,plain,
( h2(e13) = e21
| h4(e10) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_344]) ).
cnf(refute_4_346,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_347,plain,
( e20 != e20
| e20 = op2(e22,e23)
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_345,refute_4_346]) ).
cnf(refute_4_348,plain,
( e20 != e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_4_347,refute_4_318]) ).
cnf(refute_4_349,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_4_350,plain,
( h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_348]) ).
cnf(refute_4_351,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_4_352,plain,
( op2(e20,e23) != e20
| e22 = e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_350,refute_4_351]) ).
cnf(refute_4_353,plain,
( e22 = e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_314,refute_4_352]) ).
cnf(refute_4_354,plain,
e20 != e22,
inference(canonicalize,[],[normalize_4_91]) ).
cnf(refute_4_355,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_356,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_355,refute_4_354]) ).
cnf(refute_4_357,plain,
( h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_353,refute_4_356]) ).
cnf(refute_4_358,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_359,plain,
( e23 != h4(e10)
| h2(e13) = e21
| h4(e10) = e20
| op2(e20,e23) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_357,refute_4_358]) ).
cnf(refute_4_360,plain,
( e23 != h4(e10)
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_4_359,refute_4_297]) ).
cnf(refute_4_361,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_4_362,plain,
( e23 != e23
| e23 != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(e23,e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_4_363,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_362]) ).
cnf(refute_4_364,plain,
( h4(e10) != e20
| h4(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_4_365,plain,
( e23 != h4(e10)
| h4(e10) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_363,refute_4_364]) ).
cnf(refute_4_366,plain,
( e23 != h4(e10)
| e23 = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_360,refute_4_365]) ).
cnf(refute_4_367,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_368,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_367,refute_4_251]) ).
cnf(refute_4_369,plain,
( e23 != h4(e10)
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_366,refute_4_368]) ).
cnf(refute_4_370,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_4_93]) ).
cnf(refute_4_371,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_4_94]) ).
cnf(refute_4_372,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_373,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_4_371,refute_4_372]) ).
cnf(refute_4_374,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_375,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_374]) ).
cnf(refute_4_376,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_370,refute_4_375]) ).
cnf(refute_4_377,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_378,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_377]) ).
cnf(refute_4_379,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_376,refute_4_378]) ).
cnf(refute_4_380,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_381,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_380]) ).
cnf(refute_4_382,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_379,refute_4_381]) ).
cnf(refute_4_383,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_4_384,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_383]) ).
cnf(refute_4_385,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_382,refute_4_384]) ).
cnf(refute_4_386,plain,
e22 != e23,
inference(canonicalize,[],[normalize_4_95]) ).
cnf(refute_4_387,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_4_388,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_387,refute_4_386]) ).
cnf(refute_4_389,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_385,refute_4_388]) ).
cnf(refute_4_390,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_391,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_390]) ).
cnf(refute_4_392,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_4_389,refute_4_391]) ).
cnf(refute_4_393,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_392,refute_4_290]) ).
cnf(refute_4_394,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_4_96]) ).
cnf(refute_4_395,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_4_97]) ).
cnf(refute_4_396,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_395,refute_4_225]) ).
cnf(refute_4_397,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_396,refute_4_246]) ).
cnf(refute_4_398,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_399,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_397,refute_4_398]) ).
cnf(refute_4_400,plain,
( op2(e20,e22) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_4_399,refute_4_394]) ).
cnf(refute_4_401,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_4_98]) ).
cnf(refute_4_402,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_99]) ).
cnf(refute_4_403,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_404,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_403]) ).
cnf(refute_4_405,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_404,refute_4_402]) ).
cnf(refute_4_406,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_401,refute_4_405]) ).
cnf(refute_4_407,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_100]) ).
cnf(refute_4_408,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_409,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_243,refute_4_408]) ).
cnf(refute_4_410,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_4_409,refute_4_407]) ).
cnf(refute_4_411,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_406,refute_4_410]) ).
cnf(refute_4_412,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_4_413,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_411,refute_4_412]) ).
cnf(refute_4_414,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_4_413,refute_4_394]) ).
cnf(refute_4_415,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_4_101]) ).
cnf(refute_4_416,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_417,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_416]) ).
cnf(refute_4_418,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_415,refute_4_417]) ).
cnf(refute_4_419,plain,
( h2(e13) = e21
| h4(e10) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_418,refute_4_196]) ).
cnf(refute_4_420,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_4_419,refute_4_213]) ).
cnf(refute_4_421,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_422,plain,
( e21 != e21
| e21 = op2(e21,e22)
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_420,refute_4_421]) ).
cnf(refute_4_423,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e22) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_4_422,refute_4_414]) ).
cnf(refute_4_424,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_4_425,plain,
( h2(e13) = e21
| op2(e20,e22) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_423]) ).
cnf(refute_4_426,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_427,plain,
( op2(e21,e20) != e23
| e21 = e23
| h2(e13) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_425,refute_4_426]) ).
cnf(refute_4_428,plain,
( e21 = e23
| h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_227,refute_4_427]) ).
cnf(refute_4_429,plain,
( h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_428,refute_4_275]) ).
cnf(refute_4_430,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_4_431,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_429,refute_4_430]) ).
cnf(refute_4_432,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_431,refute_4_400]) ).
cnf(refute_4_433,plain,
( h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_432]) ).
cnf(refute_4_434,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_435,plain,
( e21 != e21
| h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_433,refute_4_434]) ).
cnf(refute_4_436,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_435,refute_4_393]) ).
cnf(refute_4_437,plain,
( h1(e13) = e22
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_436]) ).
cnf(refute_4_438,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_4_102]) ).
cnf(refute_4_439,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_4_440,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_439]) ).
cnf(refute_4_441,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_4_440,refute_4_438]) ).
cnf(refute_4_442,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_443,plain,
( h1(e13) != e21
| h1(e13) = op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_411,refute_4_442]) ).
cnf(refute_4_444,plain,
( h1(e13) != e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_4_443,refute_4_441]) ).
cnf(refute_4_445,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_4_103]) ).
cnf(refute_4_446,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_4_447,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_446]) ).
cnf(refute_4_448,plain,
op2(e21,e20) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_4_447,refute_4_445]) ).
cnf(refute_4_449,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_104]) ).
cnf(refute_4_450,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_4_105]) ).
cnf(refute_4_451,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_452,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_451]) ).
cnf(refute_4_453,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_450,refute_4_452]) ).
cnf(refute_4_454,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_106]) ).
cnf(refute_4_455,plain,
( op2(e23,e20) != e20
| op2(e23,e22) != e20
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_456,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_243,refute_4_455]) ).
cnf(refute_4_457,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_4_456,refute_4_454]) ).
cnf(refute_4_458,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_4_453,refute_4_457]) ).
cnf(refute_4_459,plain,
( e20 != op2(e22,e23)
| op2(e22,e20) != e20
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_460,plain,
( e20 != op2(e22,e23)
| h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_4_458,refute_4_459]) ).
cnf(refute_4_461,plain,
( e20 != op2(e22,e23)
| h1(e13) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_4_460,refute_4_449]) ).
cnf(refute_4_462,plain,
( e20 != e20
| h1(e13) = e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_4_347,refute_4_461]) ).
cnf(refute_4_463,plain,
( h1(e13) = e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_462]) ).
cnf(refute_4_464,plain,
( e20 != h2(e13)
| op2(e21,e20) != e20
| op2(e21,e20) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_4_465,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h2(e13) = e21
| h4(e10) = e20
| op2(e21,e20) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_463,refute_4_464]) ).
cnf(refute_4_466,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e13)) )],[refute_4_465,refute_4_448]) ).
cnf(refute_4_467,plain,
( e20 != e20
| e20 != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(e20,e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_468,plain,
( e20 != h2(e13)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_467]) ).
cnf(refute_4_469,plain,
( h2(e13) != e20
| h2(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_4_470,plain,
( e20 != h2(e13)
| h2(e13) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_468,refute_4_469]) ).
cnf(refute_4_471,plain,
( e20 != h2(e13)
| e20 = e21
| h1(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_466,refute_4_470]) ).
cnf(refute_4_472,plain,
e20 != e21,
inference(canonicalize,[],[normalize_4_107]) ).
cnf(refute_4_473,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_471,refute_4_472]) ).
cnf(refute_4_474,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_4_108]) ).
cnf(refute_4_475,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_474,refute_4_452]) ).
cnf(refute_4_476,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_475,refute_4_230]) ).
cnf(refute_4_477,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_4_478,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_477]) ).
cnf(refute_4_479,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_476,refute_4_478]) ).
cnf(refute_4_480,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_4_481,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_480]) ).
cnf(refute_4_482,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_479,refute_4_481]) ).
cnf(refute_4_483,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_482,refute_4_368]) ).
cnf(refute_4_484,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_485,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_484]) ).
cnf(refute_4_486,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_483,refute_4_485]) ).
cnf(refute_4_487,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_488,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_487,refute_4_472]) ).
cnf(refute_4_489,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_486,refute_4_488]) ).
cnf(refute_4_490,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_4_109]) ).
cnf(refute_4_491,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_4_492,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_491]) ).
cnf(refute_4_493,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_4_492,refute_4_490]) ).
cnf(refute_4_494,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_4_110]) ).
cnf(refute_4_495,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_4_496,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_495]) ).
cnf(refute_4_497,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_494,refute_4_496]) ).
cnf(refute_4_498,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_111]) ).
cnf(refute_4_499,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_500,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_499]) ).
cnf(refute_4_501,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_4_500,refute_4_498]) ).
cnf(refute_4_502,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_4_503,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_4_502,refute_4_501]) ).
cnf(refute_4_504,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_497,refute_4_503]) ).
cnf(refute_4_505,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_506,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_505]) ).
cnf(refute_4_507,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_504,refute_4_506]) ).
cnf(refute_4_508,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_507,refute_4_275]) ).
cnf(refute_4_509,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_4_112]) ).
cnf(refute_4_510,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_509,refute_4_384]) ).
cnf(refute_4_511,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_4_510,refute_4_391]) ).
cnf(refute_4_512,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_513,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_243,refute_4_512]) ).
cnf(refute_4_514,plain,
( e20 = e22
| e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_511,refute_4_513]) ).
cnf(refute_4_515,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_514,refute_4_354]) ).
cnf(refute_4_516,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_515,refute_4_290]) ).
cnf(refute_4_517,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_518,plain,
( op2(e23,e21) != e23
| e22 = e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_4_516,refute_4_517]) ).
cnf(refute_4_519,plain,
( e22 = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_508,refute_4_518]) ).
cnf(refute_4_520,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_519,refute_4_386]) ).
cnf(refute_4_521,plain,
( h1(e13) != e22
| op2(e23,e20) != e22
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_4_522,plain,
( h1(e13) != e22
| h1(e13) = op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_520,refute_4_521]) ).
cnf(refute_4_523,plain,
( h1(e13) != e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_4_522,refute_4_493]) ).
cnf(refute_4_524,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_4_113]) ).
cnf(refute_4_525,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_524,refute_4_452]) ).
cnf(refute_4_526,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_527,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_526]) ).
cnf(refute_4_528,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_525,refute_4_527]) ).
cnf(refute_4_529,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_528,refute_4_375]) ).
cnf(refute_4_530,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_531,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_530]) ).
cnf(refute_4_532,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_529,refute_4_531]) ).
cnf(refute_4_533,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_534,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_532,refute_4_533]) ).
cnf(refute_4_535,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_534,refute_4_523]) ).
cnf(refute_4_536,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_535]) ).
cnf(refute_4_537,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_538,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_536,refute_4_537]) ).
cnf(refute_4_539,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_538,refute_4_489]) ).
cnf(refute_4_540,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_539]) ).
cnf(refute_4_541,plain,
( e20 != e20
| h2(e13) != e20
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_4_542,plain,
( e20 != e20
| e20 = h2(e13)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_540,refute_4_541]) ).
cnf(refute_4_543,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_4_542,refute_4_473]) ).
cnf(refute_4_544,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_543]) ).
cnf(refute_4_545,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_4_114]) ).
cnf(refute_4_546,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_4_547,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_546]) ).
cnf(refute_4_548,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_4_547,refute_4_545]) ).
cnf(refute_4_549,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_4_115]) ).
cnf(refute_4_550,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_549,refute_4_496]) ).
cnf(refute_4_551,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_550,refute_4_329]) ).
cnf(refute_4_552,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_551,refute_4_506]) ).
cnf(refute_4_553,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_552,refute_4_202]) ).
cnf(refute_4_554,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_553,refute_4_275]) ).
cnf(refute_4_555,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_4_116]) ).
cnf(refute_4_556,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_555,refute_4_452]) ).
cnf(refute_4_557,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_556,refute_4_410]) ).
cnf(refute_4_558,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_559,plain,
( op2(e20,e23) != e23
| e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_557,refute_4_558]) ).
cnf(refute_4_560,plain,
( e20 = e23
| h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_559]) ).
cnf(refute_4_561,plain,
( h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_560,refute_4_251]) ).
cnf(refute_4_562,plain,
( e20 != h2(e13)
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_4_563,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h4(e10) = e23
| op2(e20,e21) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_561,refute_4_562]) ).
cnf(refute_4_564,plain,
( e20 != h2(e13)
| h1(e13) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_4_563,refute_4_548]) ).
cnf(refute_4_565,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_4_542,refute_4_564]) ).
cnf(refute_4_566,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_565]) ).
cnf(refute_4_567,plain,
( h4(e10) != e20
| e23 = e20
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_566,refute_4_364]) ).
cnf(refute_4_568,plain,
( e23 = e20
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_544,refute_4_567]) ).
cnf(refute_4_569,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_568,refute_4_368]) ).
cnf(refute_4_570,plain,
( e21 != e21
| h1(e13) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_4_571,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_4_569,refute_4_570]) ).
cnf(refute_4_572,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_4_571,refute_4_444]) ).
cnf(refute_4_573,plain,
( h1(e13) = e20
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_572]) ).
cnf(refute_4_574,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_575,plain,
( h1(e13) != e22
| h1(e13) = e20
| h1(e13) = e23
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_573,refute_4_574]) ).
cnf(refute_4_576,plain,
( h1(e13) != e22
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_4_575,refute_4_441]) ).
cnf(refute_4_577,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_4_578,plain,
( h1(e13) != e22
| e22 = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_576,refute_4_577]) ).
cnf(refute_4_579,plain,
( h1(e13) != e22
| h1(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_580,plain,
( h1(e13) != e22
| e22 = e20
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_4_578,refute_4_579]) ).
cnf(refute_4_581,plain,
( h1(e13) != e22
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_580,refute_4_356]) ).
cnf(refute_4_582,plain,
h1(e13) != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_581,refute_4_386]) ).
cnf(refute_4_583,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_437,refute_4_582]) ).
cnf(refute_4_584,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_4_585,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_583,refute_4_584]) ).
cnf(refute_4_586,plain,
( e23 != e23
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_4_585,refute_4_369]) ).
cnf(refute_4_587,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_586]) ).
cnf(refute_4_588,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_589,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_587,refute_4_588]) ).
cnf(refute_4_590,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_589,refute_4_293]) ).
cnf(refute_4_591,plain,
( h2(e13) = e21
| h2(e13) = e23
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_590]) ).
cnf(refute_4_592,plain,
( h2(e13) != e20
| h4(e10) != e20
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_4_593,plain,
( h2(e13) != e20
| h2(e13) = e21
| h2(e13) = e23
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_591,refute_4_592]) ).
cnf(refute_4_594,plain,
( h2(e13) != e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_4_593,refute_4_262]) ).
cnf(refute_4_595,plain,
( h2(e13) != e20
| e20 = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_594,refute_4_469]) ).
cnf(refute_4_596,plain,
( h2(e13) != e20
| h2(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_597,plain,
( h2(e13) != e20
| e20 = e21
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_595,refute_4_596]) ).
cnf(refute_4_598,plain,
( h2(e13) != e20
| e20 = e23 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_597,refute_4_472]) ).
cnf(refute_4_599,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_598,refute_4_251]) ).
cnf(refute_4_600,plain,
( h2(e13) = e23
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_255,refute_4_599]) ).
cnf(refute_4_601,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_117]) ).
cnf(refute_4_602,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_4_118]) ).
cnf(refute_4_603,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_119]) ).
cnf(refute_4_604,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_605,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_243,refute_4_604]) ).
cnf(refute_4_606,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_4_605,refute_4_603]) ).
cnf(refute_4_607,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_602,refute_4_606]) ).
cnf(refute_4_608,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_120]) ).
cnf(refute_4_609,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_610,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_609]) ).
cnf(refute_4_611,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_4_610,refute_4_608]) ).
cnf(refute_4_612,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_4_613,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_612]) ).
cnf(refute_4_614,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_4_613,refute_4_611]) ).
cnf(refute_4_615,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_4_607,refute_4_614]) ).
cnf(refute_4_616,plain,
( op2(e20,e21) != e22
| op2(e23,e21) != e22
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_4_617,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_4_615,refute_4_616]) ).
cnf(refute_4_618,plain,
( op2(e20,e21) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_4_617,refute_4_601]) ).
cnf(refute_4_619,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_4_121]) ).
cnf(refute_4_620,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_619,refute_4_375]) ).
cnf(refute_4_621,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_622,plain,
( op2(e20,e23) != e23
| e22 = e23
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_620,refute_4_621]) ).
cnf(refute_4_623,plain,
( e22 = e23
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_622]) ).
cnf(refute_4_624,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_623,refute_4_386]) ).
cnf(refute_4_625,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_624,refute_4_430]) ).
cnf(refute_4_626,plain,
( e22 != e22
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_625,refute_4_400]) ).
cnf(refute_4_627,plain,
( h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_626]) ).
cnf(refute_4_628,plain,
( e21 != e21
| h1(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_627,refute_4_434]) ).
cnf(refute_4_629,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_628,refute_4_393]) ).
cnf(refute_4_630,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_629]) ).
cnf(refute_4_631,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_632,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_630,refute_4_631]) ).
cnf(refute_4_633,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_632,refute_4_618]) ).
cnf(refute_4_634,plain,
( h1(e13) = e22
| h2(e13) = e22
| h4(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_633]) ).
cnf(refute_4_635,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_122]) ).
cnf(refute_4_636,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_4_637,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_636]) ).
cnf(refute_4_638,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_4_637,refute_4_635]) ).
cnf(refute_4_639,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_640,plain,
( h2(e13) != e23
| h2(e13) = op2(e23,e21)
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_615,refute_4_639]) ).
cnf(refute_4_641,plain,
( h2(e13) != e23
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_4_640,refute_4_638]) ).
cnf(refute_4_642,plain,
( e23 != e23
| h2(e13) = e21
| h2(e13) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_586,refute_4_641]) ).
cnf(refute_4_643,plain,
( h2(e13) = e21
| h2(e13) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_642]) ).
cnf(refute_4_644,plain,
( op2(e23,e21) != e23
| e22 = e23
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_4_643,refute_4_517]) ).
cnf(refute_4_645,plain,
( e22 = e23
| h1(e13) = e22
| h2(e13) = e21
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_634,refute_4_644]) ).
cnf(refute_4_646,plain,
( h1(e13) = e22
| h2(e13) = e21
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_645,refute_4_386]) ).
cnf(refute_4_647,plain,
( h2(e13) = e21
| h2(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_646,refute_4_582]) ).
cnf(refute_4_648,plain,
( h2(e13) != e23
| h4(e10) != e23
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_4_649,plain,
( h2(e13) != e23
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_647,refute_4_648]) ).
cnf(refute_4_650,plain,
( h2(e13) != e23
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_4_649,refute_4_262]) ).
cnf(refute_4_651,plain,
( h2(e13) != e21
| h2(e13) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_652,plain,
( h2(e13) != e23
| e23 = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_650,refute_4_651]) ).
cnf(refute_4_653,plain,
( h2(e13) != e22
| h2(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_654,plain,
( h2(e13) != e23
| e23 = e21
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_652,refute_4_653]) ).
cnf(refute_4_655,plain,
( h2(e13) != e23
| e23 = e22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_654,refute_4_277]) ).
cnf(refute_4_656,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_655,refute_4_388]) ).
cnf(refute_4_657,plain,
( h4(e10) = e23
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_600,refute_4_656]) ).
cnf(refute_4_658,plain,
( h4(op1(e10,e13)) != op2(e20,e21)
| h4(op1(e10,e13)) != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e22,e21)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_4_659,plain,
( h4(op1(e10,e13)) != op2(e22,e21)
| h4(e10) = e23
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_4_657,refute_4_658]) ).
cnf(refute_4_660,plain,
( h4(e10) = e20
| h4(e10) = e23
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e22,e21)) )],[refute_4_217,refute_4_659]) ).
cnf(refute_4_661,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_4_123]) ).
cnf(refute_4_662,plain,
( h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_4_660,refute_4_661]) ).
cnf(refute_4_663,plain,
( h4(e10) != e20
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_664,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e10) = e23
| h4(op1(e10,e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_662,refute_4_663]) ).
cnf(refute_4_665,plain,
( h4(e10) = e23
| h4(op1(e10,e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_664]) ).
cnf(refute_4_666,plain,
( h4(op1(e10,e12)) != op2(e20,e23)
| op2(e20,e23) != e23
| h4(op1(e10,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e23) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_4_667,plain,
( h4(op1(e10,e12)) != op2(e20,e23)
| h4(e10) = e23
| h4(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_666]) ).
cnf(refute_4_668,plain,
( h4(e10) = e23
| h4(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e23)) )],[refute_4_665,refute_4_667]) ).
cnf(refute_4_669,plain,
( h2(e13) != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e23
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),e23) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_4_670,plain,
( h2(e13) != h4(op1(e10,e12))
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e23) )],[refute_4_668,refute_4_669]) ).
cnf(refute_4_671,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e12))) )],[refute_4_172,refute_4_670]) ).
cnf(refute_4_672,plain,
( h4(e10) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_671,refute_4_656]) ).
cnf(refute_4_673,plain,
( h4(e10) != e23
| h4(e10) != op2(h2(e13),e23)
| h4(e10) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(h2(e13),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_674,plain,
( h4(e10) != op2(h2(e13),e23)
| h4(e10) = op2(h2(e13),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_672,refute_4_673]) ).
cnf(refute_4_675,plain,
( h4(e10) != op2(h2(e13),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h2(e13),h4(e10))) )],[refute_4_674,refute_4_141]) ).
cnf(refute_4_676,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_4_124]) ).
cnf(refute_4_677,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_647,refute_4_584]) ).
cnf(refute_4_678,plain,
( e23 != e23
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_4_677,refute_4_369]) ).
cnf(refute_4_679,plain,
( h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_678]) ).
cnf(refute_4_680,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_679,refute_4_588]) ).
cnf(refute_4_681,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_680,refute_4_293]) ).
cnf(refute_4_682,plain,
( h2(e13) = e21
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_681]) ).
cnf(refute_4_683,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_684,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h2(e13) = e21
| h4(op1(e10,e10)) = op2(h4(e10),e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_682,refute_4_683]) ).
cnf(refute_4_685,plain,
( h2(e13) = e21
| h4(op1(e10,e10)) = op2(h4(e10),e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_676,refute_4_684]) ).
cnf(refute_4_686,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_687,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h2(e13) = e21
| h4(op1(e10,e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_682,refute_4_686]) ).
cnf(refute_4_688,plain,
( h2(e13) = e21
| h4(op1(e10,e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_676,refute_4_687]) ).
cnf(refute_4_689,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(e20,h4(e10))
| h4(op1(e10,e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_690,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| h2(e13) = e21
| h4(op1(e10,e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_682,refute_4_689]) ).
cnf(refute_4_691,plain,
( h2(e13) = e21
| h4(op1(e10,e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) )],[refute_4_688,refute_4_690]) ).
cnf(refute_4_692,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h4(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_4_693,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_692]) ).
cnf(refute_4_694,plain,
( h2(e13) = e21
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,e20)) )],[refute_4_691,refute_4_693]) ).
cnf(refute_4_695,plain,
( h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) != op2(h4(e10),e20)
| h1(e13) = op2(h4(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e20)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_696,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e20)
| h1(e13) = op2(h4(e10),e20)
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) )],[refute_4_694,refute_4_695]) ).
cnf(refute_4_697,plain,
( h1(e13) = op2(h4(e10),e20)
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e20)) )],[refute_4_685,refute_4_696]) ).
cnf(refute_4_698,plain,
( h1(e13) != op2(h4(e10),e20)
| h4(e10) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h4(e10),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_699,plain,
( h1(e13) != op2(h4(e10),e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_672,refute_4_698]) ).
cnf(refute_4_700,plain,
( h1(e13) = op2(e23,e20)
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e10),e20)) )],[refute_4_697,refute_4_699]) ).
cnf(refute_4_701,plain,
( h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_4_700,refute_4_493]) ).
cnf(refute_4_702,plain,
( h2(e13) != e21
| h4(e10) != op2(e21,e23)
| h4(e10) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_703,plain,
( h4(e10) != op2(e21,e23)
| h4(e10) = op2(h2(e13),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_701,refute_4_702]) ).
cnf(refute_4_704,plain,
( h4(e10) != op2(e21,e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h2(e13),e23)) )],[refute_4_703,refute_4_675]) ).
cnf(refute_4_705,plain,
( h4(e10) != h4(e10)
| op2(e21,e23) != h4(e10)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_706,plain,
( h4(e10) != h4(e10)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_705]) ).
cnf(refute_4_707,plain,
( h4(e10) != h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_4_706,refute_4_704]) ).
cnf(refute_4_708,plain,
h4(e10) = h4(e10),
introduced(tautology,[refl,[$fot(h4(e10))]]) ).
cnf(refute_4_709,plain,
definitionFOFtoCNF_7,
inference(resolve,[$cnf( $equal(h4(e10),h4(e10)) )],[refute_4_708,refute_4_707]) ).
cnf(refute_4_710,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_4_709,refute_4_79]) ).
cnf(refute_4_711,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_4_129]) ).
cnf(refute_4_712,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_711,refute_4_196]) ).
cnf(refute_4_713,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_4_712,refute_4_213]) ).
cnf(refute_4_714,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_4_148]) ).
cnf(refute_4_715,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_4_150]) ).
cnf(refute_4_716,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_151]) ).
cnf(refute_4_717,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_718,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_717]) ).
cnf(refute_4_719,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_4_718,refute_4_716]) ).
cnf(refute_4_720,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_4_721,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_4_720,refute_4_719]) ).
cnf(refute_4_722,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_715,refute_4_721]) ).
cnf(refute_4_723,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_4_153]) ).
cnf(refute_4_724,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_4_154]) ).
cnf(refute_4_725,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_4_726,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_724,refute_4_725]) ).
cnf(refute_4_727,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_4_726,refute_4_723]) ).
cnf(refute_4_728,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_4_729,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_36,refute_4_728]) ).
cnf(refute_4_730,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_729,refute_4_727]) ).
cnf(refute_4_731,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_4_732,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_731,refute_4_730]) ).
cnf(refute_4_733,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_4_732,refute_4_722]) ).
cnf(refute_4_734,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_4_714,refute_4_733]) ).
cnf(refute_4_735,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_4_156]) ).
cnf(refute_4_736,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_4_737,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_68,refute_4_736]) ).
cnf(refute_4_738,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_4_735,refute_4_737]) ).
cnf(refute_4_739,plain,
e10 != e12,
inference(canonicalize,[],[normalize_4_157]) ).
cnf(refute_4_740,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_738,refute_4_739]) ).
cnf(refute_4_741,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_4_734,refute_4_740]) ).
cnf(refute_4_742,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e13
| h4(e13) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_743,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_741,refute_4_742]) ).
cnf(refute_4_744,plain,
( h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_743]) ).
cnf(refute_4_745,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_4_746,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_745]) ).
cnf(refute_4_747,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_4_748,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_747]) ).
cnf(refute_4_749,plain,
( e21 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_4_750,plain,
( e21 != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_4_748,refute_4_749]) ).
cnf(refute_4_751,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e21)) )],[refute_4_746,refute_4_750]) ).
cnf(refute_4_752,plain,
( e21 = h4(op1(e10,e13))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) )],[refute_4_744,refute_4_751]) ).
cnf(refute_4_753,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_158]) ).
cnf(refute_4_754,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_755,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_754]) ).
cnf(refute_4_756,plain,
op2(e21,e22) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_4_755,refute_4_753]) ).
cnf(refute_4_757,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_4_160]) ).
cnf(refute_4_758,plain,
( e22 != h4(e10)
| op2(e21,e22) != e22
| op2(e21,e22) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_759,plain,
( e22 != h4(e10)
| op2(e21,e22) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_757,refute_4_758]) ).
cnf(refute_4_760,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_4_759,refute_4_756]) ).
cnf(refute_4_761,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_4_161]) ).
cnf(refute_4_762,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_4_763,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_338,refute_4_762]) ).
cnf(refute_4_764,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_4_763,refute_4_761]) ).
cnf(refute_4_765,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_766,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_765]) ).
cnf(refute_4_767,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_766,refute_4_764]) ).
cnf(refute_4_768,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_767]) ).
cnf(refute_4_769,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_4_162]) ).
cnf(refute_4_770,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_769,refute_4_384]) ).
cnf(refute_4_771,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_4_770,refute_4_391]) ).
cnf(refute_4_772,plain,
( e21 = e22
| h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_771,refute_4_199]) ).
cnf(refute_4_773,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_772,refute_4_290]) ).
cnf(refute_4_774,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_4_775,plain,
( op2(e22,e23) != e20
| e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_773,refute_4_774]) ).
cnf(refute_4_776,plain,
( e22 = e20
| h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_768,refute_4_775]) ).
cnf(refute_4_777,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_776,refute_4_356]) ).
cnf(refute_4_778,plain,
( op2(e20,e23) != e23
| e22 = e23
| h4(e10) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_777,refute_4_621]) ).
cnf(refute_4_779,plain,
( e22 = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_778]) ).
cnf(refute_4_780,plain,
( h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_779,refute_4_386]) ).
cnf(refute_4_781,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_780,refute_4_310]) ).
cnf(refute_4_782,plain,
( e22 != e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_4_781,refute_4_760]) ).
cnf(refute_4_783,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_782]) ).
cnf(refute_4_784,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_785,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_783,refute_4_784]) ).
cnf(refute_4_786,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_785]) ).
cnf(refute_4_787,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_4_788,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_4_786,refute_4_787]) ).
cnf(refute_4_789,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_25
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_4_752,refute_4_788]) ).
cnf(refute_4_790,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_4_791,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_4_790,refute_4_614]) ).
cnf(refute_4_792,plain,
( definitionFOFtoCNF_25
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_4_789,refute_4_791]) ).
cnf(refute_4_793,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_4_164]) ).
cnf(refute_4_794,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_4_166]) ).
cnf(refute_4_795,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_4_167]) ).
cnf(refute_4_796,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_4_169]) ).
cnf(refute_4_797,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_4_798,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_797]) ).
cnf(refute_4_799,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_796,refute_4_798]) ).
cnf(refute_4_800,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_4_801,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_800,refute_4_40]) ).
cnf(refute_4_802,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_4_799,refute_4_801]) ).
cnf(refute_4_803,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_170]) ).
cnf(refute_4_804,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_805,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_36,refute_4_804]) ).
cnf(refute_4_806,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_4_805,refute_4_803]) ).
cnf(refute_4_807,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_802,refute_4_806]) ).
cnf(refute_4_808,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_4_809,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_4_807,refute_4_808]) ).
cnf(refute_4_810,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_4_809,refute_4_795]) ).
cnf(refute_4_811,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_4_812,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_4_810,refute_4_811]) ).
cnf(refute_4_813,plain,
( e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_794,refute_4_812]) ).
cnf(refute_4_814,plain,
e11 != e12,
inference(canonicalize,[],[normalize_4_171]) ).
cnf(refute_4_815,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_813,refute_4_814]) ).
cnf(refute_4_816,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_4_815,refute_4_793]) ).
cnf(refute_4_817,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_4_172]) ).
cnf(refute_4_818,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_783,refute_4_263]) ).
cnf(refute_4_819,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_818]) ).
cnf(refute_4_820,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_4_819,refute_4_267]) ).
cnf(refute_4_821,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_4_820,refute_4_270]) ).
cnf(refute_4_822,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_4_821,refute_4_273]) ).
cnf(refute_4_823,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_822,refute_4_277]) ).
cnf(refute_4_824,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_4_825,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_823,refute_4_824]) ).
cnf(refute_4_826,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_4_825,refute_4_817]) ).
cnf(refute_4_827,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_4_173]) ).
cnf(refute_4_828,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_174]) ).
cnf(refute_4_829,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_830,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_829]) ).
cnf(refute_4_831,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_4_830,refute_4_828]) ).
cnf(refute_4_832,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_4_827,refute_4_831]) ).
cnf(refute_4_833,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_175]) ).
cnf(refute_4_834,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_4_835,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_68,refute_4_834]) ).
cnf(refute_4_836,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_4_835,refute_4_833]) ).
cnf(refute_4_837,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_832,refute_4_836]) ).
cnf(refute_4_838,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_839,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_837,refute_4_838]) ).
cnf(refute_4_840,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_4_839,refute_4_826]) ).
cnf(refute_4_841,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_731,refute_4_840]) ).
cnf(refute_4_842,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_4_843,plain,
( op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_841,refute_4_842]) ).
cnf(refute_4_844,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_4_843,refute_4_816]) ).
cnf(refute_4_845,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_4_177]) ).
cnf(refute_4_846,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_178]) ).
cnf(refute_4_847,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_848,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_36,refute_4_847]) ).
cnf(refute_4_849,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_4_848,refute_4_846]) ).
cnf(refute_4_850,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_4_845,refute_4_849]) ).
cnf(refute_4_851,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_4_180]) ).
cnf(refute_4_852,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_4_181]) ).
cnf(refute_4_853,plain,
( e13 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_852,refute_4_798]) ).
cnf(refute_4_854,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_4_853,refute_4_801]) ).
cnf(refute_4_855,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_4_856,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_68,refute_4_855]) ).
cnf(refute_4_857,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_4_854,refute_4_856]) ).
cnf(refute_4_858,plain,
e10 != e11,
inference(canonicalize,[],[normalize_4_182]) ).
cnf(refute_4_859,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_857,refute_4_858]) ).
cnf(refute_4_860,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_4_861,plain,
( op1(e11,e12) != e12
| e11 = e12
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_859,refute_4_860]) ).
cnf(refute_4_862,plain,
( e11 = e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_851,refute_4_861]) ).
cnf(refute_4_863,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_862,refute_4_814]) ).
cnf(refute_4_864,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_863,refute_4_162]) ).
cnf(refute_4_865,plain,
( h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_864]) ).
cnf(refute_4_866,plain,
( h2(e13) = h4(op1(e10,e12))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_4_865,refute_4_171]) ).
cnf(refute_4_867,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_4_183]) ).
cnf(refute_4_868,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_869,plain,
( op2(e20,e21) != e23
| h4(e10) = e23
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_868]) ).
cnf(refute_4_870,plain,
( op2(e20,e21) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_4_869,refute_4_867]) ).
cnf(refute_4_871,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_4_184]) ).
cnf(refute_4_872,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_4_873,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_851,refute_4_872]) ).
cnf(refute_4_874,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_4_873,refute_4_871]) ).
cnf(refute_4_875,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_4_185]) ).
cnf(refute_4_876,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_4_186]) ).
cnf(refute_4_877,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_876,refute_4_721]) ).
cnf(refute_4_878,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_877,refute_4_806]) ).
cnf(refute_4_879,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_4_880,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_4_878,refute_4_879]) ).
cnf(refute_4_881,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_4_880,refute_4_875]) ).
cnf(refute_4_882,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_4_883,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_9,refute_4_882]) ).
cnf(refute_4_884,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_883,refute_4_881]) ).
cnf(refute_4_885,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_4_886,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_885,refute_4_884]) ).
cnf(refute_4_887,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_4_187]) ).
cnf(refute_4_888,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_4_889,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_36,refute_4_888]) ).
cnf(refute_4_890,plain,
( e11 = e12
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_887,refute_4_889]) ).
cnf(refute_4_891,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_890,refute_4_814]) ).
cnf(refute_4_892,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_4_893,plain,
( op1(e12,e13) != e10
| e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_4_891,refute_4_892]) ).
cnf(refute_4_894,plain,
( e12 = e10
| op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_886,refute_4_893]) ).
cnf(refute_4_895,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_896,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_895,refute_4_739]) ).
cnf(refute_4_897,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_4_894,refute_4_896]) ).
cnf(refute_4_898,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_899,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_897,refute_4_898]) ).
cnf(refute_4_900,plain,
( e12 != e12
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_4_899,refute_4_874]) ).
cnf(refute_4_901,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_4_902,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_901,refute_4_900]) ).
cnf(refute_4_903,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e12
| h4(e12) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_4_904,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_902,refute_4_903]) ).
cnf(refute_4_905,plain,
( h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_904]) ).
cnf(refute_4_906,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e21)
| e23 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e21)) ),[0],$fot(e23)]]) ).
cnf(refute_4_907,plain,
( h4(e12) != op2(h4(e10),e21)
| e23 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_143,refute_4_906]) ).
cnf(refute_4_908,plain,
( e23 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e23 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_4_909,plain,
( e23 != op2(h4(e10),e21)
| e23 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_4_748,refute_4_908]) ).
cnf(refute_4_910,plain,
( h4(e12) != op2(h4(e10),e21)
| e23 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e21)) )],[refute_4_907,refute_4_909]) ).
cnf(refute_4_911,plain,
( e23 = h4(op1(e10,e13))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e21)) )],[refute_4_905,refute_4_910]) ).
cnf(refute_4_912,plain,
( e23 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_4_913,plain,
( e23 != h4(op1(e10,e13))
| e23 = op2(e20,e21)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_4_657,refute_4_912]) ).
cnf(refute_4_914,plain,
( e23 = op2(e20,e21)
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e13))) )],[refute_4_911,refute_4_913]) ).
cnf(refute_4_915,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_916,plain,
( h4(e10) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_914,refute_4_915]) ).
cnf(refute_4_917,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_918,plain,
( e23 != e23
| h4(e10) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_916,refute_4_917]) ).
cnf(refute_4_919,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_918,refute_4_870]) ).
cnf(refute_4_920,plain,
( h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_919]) ).
cnf(refute_4_921,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_922,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_920,refute_4_921]) ).
cnf(refute_4_923,plain,
( h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_676,refute_4_922]) ).
cnf(refute_4_924,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_4_925,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_4_168,refute_4_924]) ).
cnf(refute_4_926,plain,
( h4(op1(e10,e10)) = h4(op1(e10,e12))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e23)) )],[refute_4_923,refute_4_925]) ).
cnf(refute_4_927,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_4_928,plain,
( h4(op1(e10,e12)) = h4(op1(e10,e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) )],[refute_4_926,refute_4_927]) ).
cnf(refute_4_929,plain,
( h2(e13) != h4(op1(e10,e12))
| h4(op1(e10,e12)) != h4(op1(e10,e10))
| h2(e13) = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e10))) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_4_930,plain,
( h2(e13) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e10))) )],[refute_4_928,refute_4_929]) ).
cnf(refute_4_931,plain,
( h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e12))) )],[refute_4_866,refute_4_930]) ).
cnf(refute_4_932,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != op2(h2(e13),e23)
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_933,plain,
( h4(op1(e11,e10)) != op2(h2(e13),e23)
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_920,refute_4_932]) ).
cnf(refute_4_934,plain,
( h4(op1(e11,e10)) != op2(h2(e13),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_4_933,refute_4_137]) ).
cnf(refute_4_935,plain,
( h1(e13) != op2(h4(e10),e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_920,refute_4_698]) ).
cnf(refute_4_936,plain,
( h1(e13) = op2(e23,e20)
| h2(e13) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e10),e20)) )],[refute_4_697,refute_4_935]) ).
cnf(refute_4_937,plain,
( h2(e13) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_4_936,refute_4_493]) ).
cnf(refute_4_938,plain,
( h2(e13) != e21
| h4(op1(e11,e10)) != op2(e21,e23)
| h4(op1(e11,e10)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_939,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| h4(op1(e11,e10)) = op2(h2(e13),e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_937,refute_4_938]) ).
cnf(refute_4_940,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),e23)) )],[refute_4_939,refute_4_934]) ).
cnf(refute_4_941,plain,
( h4(op1(e11,e10)) != h4(e10)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_4_942,plain,
( h4(op1(e11,e10)) != h4(e10)
| h4(op1(e11,e10)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_941]) ).
cnf(refute_4_943,plain,
( h4(op1(e11,e10)) != h4(e10)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e23)) )],[refute_4_942,refute_4_940]) ).
cnf(refute_4_944,plain,
( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_4_188]) ).
cnf(refute_4_945,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_4_189]) ).
cnf(refute_4_946,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_4_945,refute_4_77]) ).
cnf(refute_4_947,plain,
( op1(e12,e10) != e10
| op1(e12,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_948,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,op1(e12,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_4_946,refute_4_947]) ).
cnf(refute_4_949,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e10)),e10) )],[refute_4_948,refute_4_944]) ).
cnf(refute_4_950,plain,
( h4(e10) != h4(e10)
| op1(e11,e10) != e10
| h4(op1(e11,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h4(e10)) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_951,plain,
( h4(e10) != h4(e10)
| h4(op1(e11,e10)) = h4(e10)
| op1(e10,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_949,refute_4_950]) ).
cnf(refute_4_952,plain,
( h4(e10) != h4(e10)
| op1(e10,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_4_951,refute_4_943]) ).
cnf(refute_4_953,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e10)) )],[refute_4_708,refute_4_952]) ).
cnf(refute_4_954,plain,
( h2(e13) != h4(op1(e10,e10))
| op1(e10,e10) != e10
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h4(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_955,plain,
( h2(e13) != h4(op1(e10,e10))
| h2(e13) = h4(e10)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_953,refute_4_954]) ).
cnf(refute_4_956,plain,
( h2(e13) = h4(e10)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e10))) )],[refute_4_931,refute_4_955]) ).
cnf(refute_4_957,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_4_956,refute_4_262]) ).
cnf(refute_4_958,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_4_957,refute_4_850]) ).
cnf(refute_4_959,plain,
( ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_4_958,refute_4_844]) ).
cnf(refute_4_960,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_4_792,refute_4_959]) ).
cnf(refute_4_961,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_4_960,refute_4_713]) ).
cnf(refute_4_962,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_4_195]) ).
cnf(refute_4_963,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_4_197]) ).
cnf(refute_4_964,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_4_198]) ).
cnf(refute_4_965,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_4_199]) ).
cnf(refute_4_966,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_967,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_91,refute_4_966]) ).
cnf(refute_4_968,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_965,refute_4_967]) ).
cnf(refute_4_969,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_968,refute_4_277]) ).
cnf(refute_4_970,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_969,refute_4_337]) ).
cnf(refute_4_971,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_972,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_970,refute_4_971]) ).
cnf(refute_4_973,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_4_972,refute_4_964]) ).
cnf(refute_4_974,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_975,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_973,refute_4_974]) ).
cnf(refute_4_976,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_963,refute_4_975]) ).
cnf(refute_4_977,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_976,refute_4_290]) ).
cnf(refute_4_978,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_4_977,refute_4_962]) ).
cnf(refute_4_979,plain,
( op2(e21,e20) != e23
| op2(e21,e23) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_980,plain,
( op2(e21,e23) != e20
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_227,refute_4_979]) ).
cnf(refute_4_981,plain,
( op2(e21,e23) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_4_980,refute_4_978]) ).
cnf(refute_4_982,plain,
( h4(e10) != e20
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_4_983,plain,
( h4(e10) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_191,refute_4_982]) ).
cnf(refute_4_984,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_983,refute_4_981]) ).
cnf(refute_4_985,plain,
( h4(e10) != e20
| h4(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_986,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e20 = e23
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_984,refute_4_985]) ).
cnf(refute_4_987,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_986,refute_4_251]) ).
cnf(refute_4_988,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_4_225]) ).
cnf(refute_4_989,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_4_227]) ).
cnf(refute_4_990,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_989,refute_4_329]) ).
cnf(refute_4_991,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_4_229]) ).
cnf(refute_4_992,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_993,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_4_994,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_4_992,refute_4_993]) ).
cnf(refute_4_995,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_88,refute_4_994]) ).
cnf(refute_4_996,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_4_997,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_4_995,refute_4_996]) ).
cnf(refute_4_998,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_4_997,refute_4_991]) ).
cnf(refute_4_999,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_4_1000,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_1001,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_4_999,refute_4_1000]) ).
cnf(refute_4_1002,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_1001]) ).
cnf(refute_4_1003,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1004,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_4_1002,refute_4_1003]) ).
cnf(refute_4_1005,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_4_1004,refute_4_998]) ).
cnf(refute_4_1006,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_4_230]) ).
cnf(refute_4_1007,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_1008,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_1006,refute_4_1007]) ).
cnf(refute_4_1009,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_1008,refute_4_1005]) ).
cnf(refute_4_1010,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_1009]) ).
cnf(refute_4_1011,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_4_1010,refute_4_990]) ).
cnf(refute_4_1012,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_4_988,refute_4_1011]) ).
cnf(refute_4_1013,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_4_232]) ).
cnf(refute_4_1014,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_1013,refute_4_513]) ).
cnf(refute_4_1015,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_1014,refute_4_354]) ).
cnf(refute_4_1016,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_4_1012,refute_4_1015]) ).
cnf(refute_4_1017,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_1016,refute_4_358]) ).
cnf(refute_4_1018,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_4_1017,refute_4_297]) ).
cnf(refute_4_1019,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_4_233]) ).
cnf(refute_4_1020,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_4_234]) ).
cnf(refute_4_1021,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_4_1020,refute_4_1011]) ).
cnf(refute_4_1022,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_4_1021,refute_4_1015]) ).
cnf(refute_4_1023,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1024,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_1022,refute_4_1023]) ).
cnf(refute_4_1025,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_4_1024,refute_4_1019]) ).
cnf(refute_4_1026,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1027,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_227,refute_4_1026]) ).
cnf(refute_4_1028,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_1027,refute_4_1025]) ).
cnf(refute_4_1029,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_1028]) ).
cnf(refute_4_1030,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_1029,refute_4_584]) ).
cnf(refute_4_1031,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_4_1030,refute_4_1018]) ).
cnf(refute_4_1032,plain,
( e23 != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_1031,refute_4_656]) ).
cnf(refute_4_1033,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_361,refute_4_1032]) ).
cnf(refute_4_1034,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_4_1033,refute_4_987]) ).
cnf(refute_4_1035,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_1034,refute_4_656]) ).
cnf(refute_4_1036,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_4_235]) ).
cnf(refute_4_1037,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_4_977,refute_4_1036]) ).
cnf(refute_4_1038,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_4_236]) ).
cnf(refute_4_1039,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_4_1040,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1039]) ).
cnf(refute_4_1041,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_4_1040,refute_4_1038]) ).
cnf(refute_4_1042,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_1043,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_397,refute_4_1042]) ).
cnf(refute_4_1044,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_4_1043,refute_4_1041]) ).
cnf(refute_4_1045,plain,
( e22 != e22
| h2(e13) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_680,refute_4_1044]) ).
cnf(refute_4_1046,plain,
( h2(e13) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_1045]) ).
cnf(refute_4_1047,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_1048,plain,
( op2(e21,e21) != e22
| h2(e13) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1046,refute_4_1047]) ).
cnf(refute_4_1049,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_4_1048,refute_4_1037]) ).
cnf(refute_4_1050,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_4_1051,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1050]) ).
cnf(refute_4_1052,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_1051,refute_4_1049]) ).
cnf(refute_4_1053,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| e22 = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_1052,refute_4_288]) ).
cnf(refute_4_1054,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| e22 = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_4_1033,refute_4_1053]) ).
cnf(refute_4_1055,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_1054,refute_4_292]) ).
cnf(refute_4_1056,plain,
( h2(e13) != e21
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1057,plain,
( op2(e20,e21) != e21
| h2(e13) = e22
| op2(e20,e21) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_679,refute_4_1056]) ).
cnf(refute_4_1058,plain,
( op2(e20,e21) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_4_1057,refute_4_548]) ).
cnf(refute_4_1059,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_214,refute_4_784]) ).
cnf(refute_4_1060,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_1059]) ).
cnf(refute_4_1061,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_4_1060,refute_4_787]) ).
cnf(refute_4_1062,plain,
( e21 = op2(e23,e21)
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_4_752,refute_4_1061]) ).
cnf(refute_4_1063,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_4_1062,refute_4_791]) ).
cnf(refute_4_1064,plain,
( h4(e10) != e22
| h4(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_1065,plain,
( h4(e10) != e22
| e23 = e22
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_662,refute_4_1064]) ).
cnf(refute_4_1066,plain,
( e23 = e22
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_1063,refute_4_1065]) ).
cnf(refute_4_1067,plain,
( h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_1066,refute_4_388]) ).
cnf(refute_4_1068,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1067,refute_4_253]) ).
cnf(refute_4_1069,plain,
( h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_1068]) ).
cnf(refute_4_1070,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_4_1071,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_4_1069,refute_4_1070]) ).
cnf(refute_4_1072,plain,
( e21 = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_4_752,refute_4_1071]) ).
cnf(refute_4_1073,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_1074,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_4_1072,refute_4_1073]) ).
cnf(refute_4_1075,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_1076,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1074,refute_4_1075]) ).
cnf(refute_4_1077,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1076,refute_4_1058]) ).
cnf(refute_4_1078,plain,
( h2(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_1077]) ).
cnf(refute_4_1079,plain,
( e22 != e22
| h2(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_1078,refute_4_588]) ).
cnf(refute_4_1080,plain,
( e22 != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_1079,refute_4_1055]) ).
cnf(refute_4_1081,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_313,refute_4_1080]) ).
cnf(refute_4_1082,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_15
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_4_961,refute_4_1081]) ).
cnf(refute_4_1083,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_1084,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_837,refute_4_1083]) ).
cnf(refute_4_1085,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_4_1084,refute_4_817]) ).
cnf(refute_4_1086,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_4_1087,plain,
( e11 != e11
| h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_278,refute_4_1086]) ).
cnf(refute_4_1088,plain,
( e11 != e11
| h4(e10) = e20
| h4(e10) = e22
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_1087,refute_4_1085]) ).
cnf(refute_4_1089,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_731,refute_4_1088]) ).
cnf(refute_4_1090,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_1089,refute_4_842]) ).
cnf(refute_4_1091,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_4_1090,refute_4_816]) ).
cnf(refute_4_1092,plain,
( h4(e10) != e20
| op2(e22,e23) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1093,plain,
( h4(e10) != e20
| h4(e10) = op2(e22,e23)
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_338,refute_4_1092]) ).
cnf(refute_4_1094,plain,
( h4(e10) != e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_4_1093,refute_4_322]) ).
cnf(refute_4_1095,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1096,plain,
( e20 != e20
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_662,refute_4_1095]) ).
cnf(refute_4_1097,plain,
( e20 != e20
| h4(e10) = e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1096,refute_4_1094]) ).
cnf(refute_4_1098,plain,
( h4(e10) = e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_1097]) ).
cnf(refute_4_1099,plain,
( h4(e10) != e22
| h4(e10) = e23
| h4(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_1098,refute_4_339]) ).
cnf(refute_4_1100,plain,
( h4(e10) != e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_4_1099,refute_4_322]) ).
cnf(refute_4_1101,plain,
( h4(e10) != e22
| h4(e10) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_1102,plain,
( h4(e10) != e22
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_1100,refute_4_1101]) ).
cnf(refute_4_1103,plain,
h4(e10) != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_1102,refute_4_386]) ).
cnf(refute_4_1104,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_4_1091,refute_4_1103]) ).
cnf(refute_4_1105,plain,
( ~ definitionFOFtoCNF_8
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_4_958,refute_4_1104]) ).
cnf(refute_4_1106,plain,
( h4(e10) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_4_1082,refute_4_1105]) ).
cnf(refute_4_1107,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1106,refute_4_1095]) ).
cnf(refute_4_1108,plain,
( e20 != e20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1107,refute_4_1035]) ).
cnf(refute_4_1109,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_1108]) ).
cnf(refute_4_1110,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_4_961,refute_4_1109]) ).
cnf(refute_4_1111,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_4_238]) ).
cnf(refute_4_1112,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_1113,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_554,refute_4_1112]) ).
cnf(refute_4_1114,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_4_1113,refute_4_1111]) ).
cnf(refute_4_1115,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_1114,refute_4_784]) ).
cnf(refute_4_1116,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_4_180,refute_4_1115]) ).
cnf(refute_4_1117,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op1(e10,e13) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1118,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_741,refute_4_1117]) ).
cnf(refute_4_1119,plain,
( h4(e13) = op2(e23,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_4_1116,refute_4_1118]) ).
cnf(refute_4_1120,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_4_1121,plain,
( h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_110,refute_4_1120]) ).
cnf(refute_4_1122,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_4_1119,refute_4_1121]) ).
cnf(refute_4_1123,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_4_1122,refute_4_791]) ).
cnf(refute_4_1124,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_1114,refute_4_263]) ).
cnf(refute_4_1125,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_4_150,refute_4_1124]) ).
cnf(refute_4_1126,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_4_1125,refute_4_267]) ).
cnf(refute_4_1127,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_4_1126,refute_4_270]) ).
cnf(refute_4_1128,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_4_1127,refute_4_273]) ).
cnf(refute_4_1129,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_1128,refute_4_277]) ).
cnf(refute_4_1130,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_1129,refute_4_824]) ).
cnf(refute_4_1131,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_4_1130,refute_4_817]) ).
cnf(refute_4_1132,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_4_839,refute_4_1131]) ).
cnf(refute_4_1133,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_731,refute_4_1132]) ).
cnf(refute_4_1134,plain,
( op1(e11,op1(e11,e12)) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_1133,refute_4_842]) ).
cnf(refute_4_1135,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_4_1134,refute_4_816]) ).
cnf(refute_4_1136,plain,
( ~ definitionFOFtoCNF_8
| definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_4_958,refute_4_1135]) ).
cnf(refute_4_1137,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_4_1123,refute_4_1136]) ).
cnf(refute_4_1138,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_4_240]) ).
cnf(refute_4_1139,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_4_242]) ).
cnf(refute_4_1140,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_1139,refute_4_496]) ).
cnf(refute_4_1141,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_4_244]) ).
cnf(refute_4_1142,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_1141,refute_4_381]) ).
cnf(refute_4_1143,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_1142,refute_4_388]) ).
cnf(refute_4_1144,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_4_1143,refute_4_1140]) ).
cnf(refute_4_1145,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_1144,refute_4_506]) ).
cnf(refute_4_1146,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_1145,refute_4_275]) ).
cnf(refute_4_1147,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_4_246]) ).
cnf(refute_4_1148,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_4_1149,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_4_1150,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_4_1148,refute_4_1149]) ).
cnf(refute_4_1151,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1150]) ).
cnf(refute_4_1152,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_4_1153,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_4_1151,refute_4_1152]) ).
cnf(refute_4_1154,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_4_1153,refute_4_1147]) ).
cnf(refute_4_1155,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_4_248]) ).
cnf(refute_4_1156,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_4_1157,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_4_1158,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_4_1156,refute_4_1157]) ).
cnf(refute_4_1159,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_1158]) ).
cnf(refute_4_1160,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_4_1161,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_4_1159,refute_4_1160]) ).
cnf(refute_4_1162,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_4_1161,refute_4_1155]) ).
cnf(refute_4_1163,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_4_249]) ).
cnf(refute_4_1164,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_4_1165,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_4_1166,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_4_1164,refute_4_1165]) ).
cnf(refute_4_1167,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_1166]) ).
cnf(refute_4_1168,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_4_1169,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_1170,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_1168,refute_4_1169]) ).
cnf(refute_4_1171,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_1170]) ).
cnf(refute_4_1172,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_4_1173,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_4_1171,refute_4_1172]) ).
cnf(refute_4_1174,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_4_1167,refute_4_1173]) ).
cnf(refute_4_1175,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_4_1176,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_4_1174,refute_4_1175]) ).
cnf(refute_4_1177,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_1163,refute_4_1176]) ).
cnf(refute_4_1178,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_4_250]) ).
cnf(refute_4_1179,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_1178,refute_4_452]) ).
cnf(refute_4_1180,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_1181,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_1179,refute_4_1180]) ).
cnf(refute_4_1182,plain,
( h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_4_1177,refute_4_1181]) ).
cnf(refute_4_1183,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_1184,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_1179,refute_4_1183]) ).
cnf(refute_4_1185,plain,
( h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_4_1177,refute_4_1184]) ).
cnf(refute_4_1186,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_4_251]) ).
cnf(refute_4_1187,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_4_1188,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_1189,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_4_1187,refute_4_1188]) ).
cnf(refute_4_1190,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_1189]) ).
cnf(refute_4_1191,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_4_1192,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_4_1190,refute_4_1191]) ).
cnf(refute_4_1193,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_4_1186,refute_4_1192]) ).
cnf(refute_4_1194,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h1(e10) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_4_1195,plain,
op2(h1(e13),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_4_1193,refute_4_1194]) ).
cnf(refute_4_1196,plain,
( h1(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h1(e10)
| h1(e11) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e10)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_4_1197,plain,
( h1(e11) != op2(h1(e13),e20)
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e10)) )],[refute_4_1195,refute_4_1196]) ).
cnf(refute_4_1198,plain,
( h1(e11) = h1(e10)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e20)) )],[refute_4_1185,refute_4_1197]) ).
cnf(refute_4_1199,plain,
( h1(e11) != h1(e10)
| h1(e11) != op2(e20,h1(e13))
| h1(e10) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_1200,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e10) = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1198,refute_4_1199]) ).
cnf(refute_4_1201,plain,
( h1(e10) = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_4_1182,refute_4_1200]) ).
cnf(refute_4_1202,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_1203,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e11) = op2(e20,e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_1179,refute_4_1202]) ).
cnf(refute_4_1204,plain,
( h1(e11) = op2(e20,e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_4_1182,refute_4_1203]) ).
cnf(refute_4_1205,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_4_1206,plain,
( h1(e11) != op2(e20,e20)
| h1(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_373,refute_4_1205]) ).
cnf(refute_4_1207,plain,
( h1(e11) = h1(e13)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_4_1204,refute_4_1206]) ).
cnf(refute_4_1208,plain,
( h1(e11) != h1(e13)
| h1(e13) = h1(e11) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h1(e11))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_4_1209,plain,
( h1(e13) = h1(e11)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e13)) )],[refute_4_1207,refute_4_1208]) ).
cnf(refute_4_1210,plain,
( h1(e13) != e20
| h1(e13) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_1211,plain,
( h1(e13) != e20
| h1(e11) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_4_1209,refute_4_1210]) ).
cnf(refute_4_1212,plain,
( h1(e11) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_1179,refute_4_1211]) ).
cnf(refute_4_1213,plain,
( h1(e11) != e20
| h1(e11) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_4_1214,plain,
( h1(e11) != h1(e10)
| e20 = h1(e10)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1212,refute_4_1213]) ).
cnf(refute_4_1215,plain,
( e20 = h1(e10)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1198,refute_4_1214]) ).
cnf(refute_4_1216,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_4_1217,plain,
( h1(e10) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_4_1215,refute_4_1216]) ).
cnf(refute_4_1218,plain,
( h1(e10) != e20
| h1(e10) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_4_1219,plain,
( h1(e10) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1217,refute_4_1218]) ).
cnf(refute_4_1220,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e13))) )],[refute_4_1201,refute_4_1219]) ).
cnf(refute_4_1221,plain,
( e20 != op2(e20,h1(e13))
| op2(e20,h1(e13)) = e20 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,h1(e13))))]]) ).
cnf(refute_4_1222,plain,
( op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_4_1220,refute_4_1221]) ).
cnf(refute_4_1223,plain,
( e20 != e20
| op2(e20,h1(e13)) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e13)),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_1224,plain,
( e20 != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_4_1222,refute_4_1223]) ).
cnf(refute_4_1225,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_4_1224,refute_4_1162]) ).
cnf(refute_4_1226,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_1225]) ).
cnf(refute_4_1227,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_4_1226,refute_4_1154]) ).
cnf(refute_4_1228,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_4_252]) ).
cnf(refute_4_1229,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_4_1230,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_4_1231,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_4_1229,refute_4_1230]) ).
cnf(refute_4_1232,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1231]) ).
cnf(refute_4_1233,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_4_1234,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_1235,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_4_1233,refute_4_1234]) ).
cnf(refute_4_1236,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1235]) ).
cnf(refute_4_1237,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_4_28:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_4_1238,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_4_1236,refute_4_1237]) ).
cnf(refute_4_1239,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_4_1232,refute_4_1238]) ).
cnf(refute_4_1240,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_4_1241,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_4_1239,refute_4_1240]) ).
cnf(refute_4_1242,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_4_1228,refute_4_1241]) ).
cnf(refute_4_1243,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_4_253]) ).
cnf(refute_4_1244,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_4_1245,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_1246,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_4_1244,refute_4_1245]) ).
cnf(refute_4_1247,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1246]) ).
cnf(refute_4_1248,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_4_1249,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_4_1247,refute_4_1248]) ).
cnf(refute_4_1250,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_4_1243,refute_4_1249]) ).
cnf(refute_4_1251,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_4_254]) ).
cnf(refute_4_1252,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_1251,refute_4_417]) ).
cnf(refute_4_1253,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_4_1226,refute_4_1252]) ).
cnf(refute_4_1254,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_1255,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_1253,refute_4_1254]) ).
cnf(refute_4_1256,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_4_1250,refute_4_1255]) ).
cnf(refute_4_1257,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_4_1258,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_84,refute_4_1257]) ).
cnf(refute_4_1259,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_4_1256,refute_4_1258]) ).
cnf(refute_4_1260,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_4_1261,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_4_1259,refute_4_1260]) ).
cnf(refute_4_1262,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != h2(e10)
| h2(e11) = op2(h2(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_4_1263,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e10),h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_4_1261,refute_4_1262]) ).
cnf(refute_4_1264,plain,
( h2(e11) = op2(h2(e10),h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_4_1242,refute_4_1263]) ).
cnf(refute_4_1265,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_1266,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_1253,refute_4_1265]) ).
cnf(refute_4_1267,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_4_1242,refute_4_1266]) ).
cnf(refute_4_1268,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_4_7:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_4_1269,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_4_1250,refute_4_1268]) ).
cnf(refute_4_1270,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_4_1271,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_4_1269,refute_4_1270]) ).
cnf(refute_4_1272,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_4_1267,refute_4_1271]) ).
cnf(refute_4_1273,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_4_1274,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_4_1261,refute_4_1273]) ).
cnf(refute_4_1275,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_4_1253,refute_4_1274]) ).
cnf(refute_4_1276,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1277,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_4_1275,refute_4_1276]) ).
cnf(refute_4_1278,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_4_1272,refute_4_1277]) ).
cnf(refute_4_1279,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e10),h2(e13))
| e21 = op2(h2(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_4_1280,plain,
( h2(e11) != op2(h2(e10),h2(e13))
| e21 = op2(h2(e10),h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_4_1278,refute_4_1279]) ).
cnf(refute_4_1281,plain,
( e21 = op2(h2(e10),h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e13))) )],[refute_4_1264,refute_4_1280]) ).
cnf(refute_4_1282,plain,
( e21 != op2(h2(e10),h2(e13))
| h2(e10) != e21
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e10),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_1283,plain,
( e21 != op2(h2(e10),h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_4_1275,refute_4_1282]) ).
cnf(refute_4_1284,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e10),h2(e13))) )],[refute_4_1281,refute_4_1283]) ).
cnf(refute_4_1285,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_4_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_4_1286,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_4_1284,refute_4_1285]) ).
cnf(refute_4_1287,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_1288,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_4_1286,refute_4_1287]) ).
cnf(refute_4_1289,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_4_1288,refute_4_1227]) ).
cnf(refute_4_1290,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_424,refute_4_1289]) ).
cnf(refute_4_1291,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_4_1290,refute_4_1146]) ).
cnf(refute_4_1292,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_4_1291,refute_4_1138]) ).
cnf(refute_4_1293,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_4_256]) ).
cnf(refute_4_1294,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_4_258]) ).
cnf(refute_4_1295,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_1294,refute_4_410]) ).
cnf(refute_4_1296,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_4_1295,refute_4_1293]) ).
cnf(refute_4_1297,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_4_1296,refute_4_457]) ).
cnf(refute_4_1298,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_4_1297,refute_4_1292]) ).
cnf(refute_4_1299,plain,
( op2(e21,e23) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_4_980,refute_4_1298]) ).
cnf(refute_4_1300,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_983,refute_4_1299]) ).
cnf(refute_4_1301,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| e20 = e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_1300,refute_4_985]) ).
cnf(refute_4_1302,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_1301,refute_4_251]) ).
cnf(refute_4_1303,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1067,refute_4_1095]) ).
cnf(refute_4_1304,plain,
( e20 != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1303,refute_4_1302]) ).
cnf(refute_4_1305,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_1304]) ).
cnf(refute_4_1306,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_1305,refute_4_656]) ).
cnf(refute_4_1307,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_4_1137,refute_4_1306]) ).
cnf(refute_4_1308,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_4_1110,refute_4_1307]) ).
cnf(refute_4_1309,plain,
( h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_4_1308,refute_4_1105]) ).
cnf(refute_4_1310,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1309,refute_4_1095]) ).
cnf(refute_4_1311,plain,
( e20 != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_1310,refute_4_1302]) ).
cnf(refute_4_1312,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_349,refute_4_1311]) ).
cnf(refute_4_1313,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_1312,refute_4_656]) ).
cnf(refute_4_1314,plain,
( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_4_1137,refute_4_1313]) ).
cnf(refute_4_1315,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_4_1110,refute_4_1314]) ).
cnf(refute_4_1316,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_4_1315,refute_4_710]) ).
cnf(refute_4_1317,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_4_1318,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_1316,refute_4_1317]) ).
cnf(refute_4_1319,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_4_259]) ).
cnf(refute_4_1320,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_4_54,refute_4_1319]) ).
cnf(refute_4_1321,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_4_78,refute_4_1320]) ).
cnf(refute_4_1322,plain,
( op1(e11,e12) = e11
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_4_837,refute_4_842]) ).
cnf(refute_4_1323,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_4_1322,refute_4_1321]) ).
cnf(refute_4_1324,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_4_709,refute_4_1323]) ).
cnf(refute_4_1325,plain,
op1(e11,e12) = e11,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_4_1315,refute_4_1324]) ).
cnf(refute_4_1326,plain,
( e11 != e11
| e11 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_1325,refute_4_838]) ).
cnf(refute_4_1327,plain,
( e11 != e11
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_4_1326,refute_4_1318]) ).
cnf(refute_4_1328,plain,
e11 != e11,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_4_1327,refute_4_0]) ).
cnf(refute_4_1329,plain,
$false,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_731,refute_4_1328]) ).
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,
( 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_5_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_5_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_5_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_5_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_5_4,normalize_5_5]) ).
fof(normalize_5_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_5_3,normalize_5_6,normalize_5_5]) ).
fof(normalize_5_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_5_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_5_7,normalize_5_8]) ).
fof(normalize_5_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_2,normalize_5_9,normalize_5_6,normalize_5_5,normalize_5_8]) ).
fof(normalize_5_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_5_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_5_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_5_11,normalize_5_12]) ).
fof(normalize_5_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_10,normalize_5_13,normalize_5_12]) ).
fof(normalize_5_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_5_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_14,normalize_5_15]) ).
fof(normalize_5_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_5_16]) ).
fof(normalize_5_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_5_17]) ).
fof(normalize_5_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_9]) ).
fof(normalize_5_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_8]) ).
fof(normalize_5_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_5_23]) ).
fof(normalize_5_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_5_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_5_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_6]) ).
fof(normalize_5_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_5_31]) ).
fof(normalize_5_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_5_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_5_33]) ).
fof(normalize_5_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_5]) ).
fof(normalize_5_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_5_35]) ).
fof(normalize_5_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_5_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_5_37]) ).
fof(normalize_5_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_5_35]) ).
fof(normalize_5_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_5_33]) ).
fof(normalize_5_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_5_31]) ).
fof(normalize_5_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_5_33]) ).
fof(normalize_5_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_13]) ).
fof(normalize_5_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_5_43]) ).
fof(normalize_5_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_12]) ).
fof(normalize_5_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_50,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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_5_37]) ).
fof(normalize_5_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_5_33]) ).
fof(normalize_5_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_5_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_5_53]) ).
fof(normalize_5_55,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_50,normalize_5_51,normalize_5_52,normalize_5_54]) ).
fof(normalize_5_56,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_5_55]) ).
fof(normalize_5_57,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_58,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_15]) ).
fof(normalize_5_59,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_5_58]) ).
fof(normalize_5_60,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_5_61,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_62,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_63,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_64,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_5_55]) ).
fof(normalize_5_65,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_66,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_5_67,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_5_66]) ).
fof(normalize_5_68,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_69,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_70,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_5_71,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_5_70]) ).
fof(normalize_5_72,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_73,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_5_70]) ).
fof(normalize_5_74,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_5_55]) ).
fof(normalize_5_75,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_76,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_5_77,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_5_76]) ).
fof(normalize_5_78,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_79,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_5_70]) ).
fof(normalize_5_80,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_81,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_5_82,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_5_83,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_5_84,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_5_82,normalize_5_83]) ).
fof(normalize_5_85,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_81,normalize_5_84,normalize_5_83]) ).
fof(normalize_5_86,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_5_87,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_85,normalize_5_86]) ).
fof(normalize_5_88,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_5_87]) ).
fof(normalize_5_89,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_5_88]) ).
fof(normalize_5_90,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_84]) ).
fof(normalize_5_91,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_5_90]) ).
fof(normalize_5_92,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_93,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_5_66]) ).
fof(normalize_5_94,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_95,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_5_68]) ).
fof(normalize_5_96,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_97,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_98,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_83]) ).
fof(normalize_5_99,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_5_98]) ).
fof(normalize_5_100,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_101,plain,
e20 != e21,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_102,plain,
e21 != e22,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_103,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_5_98]) ).
fof(normalize_5_104,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_105,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_106,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_107,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_108,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_5_98]) ).
fof(normalize_5_109,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_5_110,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_111,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_112,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_113,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_114,plain,
( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_5_98]) ).
fof(normalize_5_115,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_116,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_117,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_118,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_119,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_120,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_5_98]) ).
fof(normalize_5_121,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_122,plain,
e20 != e23,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_123,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_5_76]) ).
fof(normalize_5_124,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_5_125,plain,
e12 != e13,
inference(conjunct,[],[normalize_5_124]) ).
fof(normalize_5_126,plain,
e10 != e12,
inference(conjunct,[],[normalize_5_124]) ).
fof(normalize_5_127,plain,
e11 != e12,
inference(conjunct,[],[normalize_5_124]) ).
fof(normalize_5_128,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_86]) ).
fof(normalize_5_129,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_5_128]) ).
fof(normalize_5_130,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_5_128]) ).
fof(normalize_5_131,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_132,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_5_88]) ).
fof(normalize_5_133,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_5_37]) ).
fof(normalize_5_134,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_135,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_5_136,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_5_135]) ).
fof(normalize_5_137,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_5_136,normalize_5_16,normalize_5_13,normalize_5_9,normalize_5_6,normalize_5_5,normalize_5_8,normalize_5_15,normalize_5_12]) ).
fof(normalize_5_138,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_5_137,normalize_5_87,normalize_5_84,normalize_5_86,normalize_5_83]) ).
fof(normalize_5_139,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_5_140,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_5_141,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_5_139,normalize_5_140]) ).
fof(normalize_5_142,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_5_138,normalize_5_141,normalize_5_140]) ).
fof(normalize_5_143,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_5_144,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_5_142,normalize_5_143]) ).
fof(normalize_5_145,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_5_144]) ).
fof(normalize_5_146,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_5_145]) ).
fof(normalize_5_147,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_5_141]) ).
fof(normalize_5_148,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_5_147]) ).
fof(normalize_5_149,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_5_140]) ).
fof(normalize_5_150,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_5_149]) ).
fof(normalize_5_151,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_5_149]) ).
fof(normalize_5_152,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_5_143]) ).
fof(normalize_5_153,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_5_152]) ).
fof(normalize_5_154,plain,
e20 != e22,
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_155,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_156,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_157,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_5_145]) ).
fof(normalize_5_158,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_159,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_160,plain,
( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_5_135]) ).
fof(normalize_5_161,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_162,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_163,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_164,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_165,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_5_145]) ).
fof(normalize_5_166,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_167,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_168,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_169,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_5_135]) ).
fof(normalize_5_170,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_171,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_172,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_5_88]) ).
fof(normalize_5_173,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_174,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_175,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_176,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_177,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_178,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_5_17]) ).
cnf(refute_5_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_5_20]) ).
cnf(refute_5_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_4,refute_5_5]) ).
cnf(refute_5_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_3,refute_5_7]) ).
cnf(refute_5_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_5_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_9]) ).
cnf(refute_5_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_5_2,refute_5_10]) ).
cnf(refute_5_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_5_13,refute_5_14]) ).
cnf(refute_5_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_5_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_5_12,refute_5_17]) ).
cnf(refute_5_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_5_28]) ).
cnf(refute_5_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_5_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_5_20,refute_5_19]) ).
cnf(refute_5_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_5_18,refute_5_21]) ).
cnf(refute_5_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_5_22,refute_5_11]) ).
cnf(refute_5_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_5_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_25,refute_5_26]) ).
cnf(refute_5_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_27]) ).
cnf(refute_5_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_5_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_29,refute_5_30]) ).
cnf(refute_5_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_31]) ).
cnf(refute_5_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_6,refute_5_33]) ).
cnf(refute_5_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_32,refute_5_35]) ).
cnf(refute_5_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_5_28,refute_5_36]) ).
cnf(refute_5_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_5_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_5_37,refute_5_38]) ).
cnf(refute_5_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_39]) ).
cnf(refute_5_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_5_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_5_40,refute_5_41]) ).
cnf(refute_5_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_24,refute_5_42]) ).
cnf(refute_5_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_5_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_5_43,refute_5_44]) ).
cnf(refute_5_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_5_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_46]) ).
cnf(refute_5_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_23,refute_5_47]) ).
cnf(refute_5_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_5_30]) ).
cnf(refute_5_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_48,refute_5_49]) ).
cnf(refute_5_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_5_32]) ).
cnf(refute_5_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_34]) ).
cnf(refute_5_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_5_52,refute_5_53]) ).
cnf(refute_5_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_5_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_5_55,refute_5_56]) ).
cnf(refute_5_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_57]) ).
cnf(refute_5_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_5_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_5_60,refute_5_51]) ).
cnf(refute_5_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_38]) ).
cnf(refute_5_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_5_63,refute_5_64]) ).
cnf(refute_5_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_5_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_5_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_68]) ).
cnf(refute_5_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_5_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_5_71,refute_5_62]) ).
cnf(refute_5_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_5_39]) ).
cnf(refute_5_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_74]) ).
cnf(refute_5_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_73,refute_5_75]) ).
cnf(refute_5_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_5_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_5_78,refute_5_72]) ).
cnf(refute_5_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_5_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_80]) ).
cnf(refute_5_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_81,refute_5_79]) ).
cnf(refute_5_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_5_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_76,refute_5_83]) ).
cnf(refute_5_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_84,refute_5_82]) ).
cnf(refute_5_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_85]) ).
cnf(refute_5_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_5_87,refute_5_61]) ).
cnf(refute_5_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_5_40]) ).
cnf(refute_5_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_5_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_5_90,refute_5_91]) ).
cnf(refute_5_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_92]) ).
cnf(refute_5_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_5_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_5_94,refute_5_95]) ).
cnf(refute_5_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_96]) ).
cnf(refute_5_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_5_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_5_97,refute_5_98]) ).
cnf(refute_5_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_5_93,refute_5_99]) ).
cnf(refute_5_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_5_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_5_100,refute_5_101]) ).
cnf(refute_5_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_5_89,refute_5_102]) ).
cnf(refute_5_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_5_41]) ).
cnf(refute_5_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_105]) ).
cnf(refute_5_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_104,refute_5_106]) ).
cnf(refute_5_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_5_87,refute_5_107]) ).
cnf(refute_5_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_108,refute_5_109]) ).
cnf(refute_5_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_110]) ).
cnf(refute_5_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_108,refute_5_112]) ).
cnf(refute_5_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_113]) ).
cnf(refute_5_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_5_42]) ).
cnf(refute_5_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_5_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_5_116,refute_5_117]) ).
cnf(refute_5_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_118]) ).
cnf(refute_5_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_5_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_5_119,refute_5_120]) ).
cnf(refute_5_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_5_115,refute_5_121]) ).
cnf(refute_5_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_5_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_5_122,refute_5_123]) ).
cnf(refute_5_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_5_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_5_124,refute_5_125]) ).
cnf(refute_5_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_5_114,refute_5_126]) ).
cnf(refute_5_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_108,refute_5_128]) ).
cnf(refute_5_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_5_122,refute_5_129]) ).
cnf(refute_5_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_5_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_131]) ).
cnf(refute_5_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_5_130,refute_5_132]) ).
cnf(refute_5_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_5_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_5_133,refute_5_134]) ).
cnf(refute_5_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_5_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_5_135,refute_5_136]) ).
cnf(refute_5_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_108,refute_5_137]) ).
cnf(refute_5_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_5_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_5_138,refute_5_139]) ).
cnf(refute_5_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_5_127,refute_5_140]) ).
cnf(refute_5_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_5_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_141,refute_5_142]) ).
cnf(refute_5_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_5_111,refute_5_143]) ).
cnf(refute_5_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_5_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_5_144,refute_5_145]) ).
cnf(refute_5_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_5_146,refute_5_147]) ).
cnf(refute_5_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_5_148,refute_5_88]) ).
cnf(refute_5_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_5_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_149]) ).
cnf(refute_5_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_5_151,refute_5_50]) ).
cnf(refute_5_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_5_152,refute_5_1]) ).
cnf(refute_5_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_5_44]) ).
cnf(refute_5_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_47]) ).
cnf(refute_5_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_5_48]) ).
cnf(refute_5_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_5_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_5_158,refute_5_159]) ).
cnf(refute_5_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_160]) ).
cnf(refute_5_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_5_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_5_161,refute_5_162]) ).
cnf(refute_5_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_5_157,refute_5_163]) ).
cnf(refute_5_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_5_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_5_164,refute_5_165]) ).
cnf(refute_5_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_5_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_167]) ).
cnf(refute_5_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_5_168,refute_5_156]) ).
cnf(refute_5_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_155,refute_5_169]) ).
cnf(refute_5_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_5_170,refute_5_154]) ).
cnf(refute_5_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_49]) ).
cnf(refute_5_173,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_5_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_173]) ).
cnf(refute_5_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_5_174,refute_5_172]) ).
cnf(refute_5_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_5_171,refute_5_175]) ).
cnf(refute_5_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_5_176,refute_5_153]) ).
cnf(refute_5_178,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_5_56]) ).
cnf(refute_5_179,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_5_57]) ).
cnf(refute_5_180,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_5_181,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_180]) ).
cnf(refute_5_182,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_181]) ).
cnf(refute_5_183,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_5_184,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_185,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_183,refute_5_184]) ).
cnf(refute_5_186,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_185]) ).
cnf(refute_5_187,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_188,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_189,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_187,refute_5_188]) ).
cnf(refute_5_190,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_189]) ).
cnf(refute_5_191,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_192,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_190,refute_5_191]) ).
cnf(refute_5_193,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_5_186,refute_5_192]) ).
cnf(refute_5_194,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_5_195,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_5_193,refute_5_194]) ).
cnf(refute_5_196,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_195]) ).
cnf(refute_5_197,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_198,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_5_196,refute_5_197]) ).
cnf(refute_5_199,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_179,refute_5_198]) ).
cnf(refute_5_200,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_5_201,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_202,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_5_200,refute_5_201]) ).
cnf(refute_5_203,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_202]) ).
cnf(refute_5_204,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_5_205,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_5_203,refute_5_204]) ).
cnf(refute_5_206,plain,
h4(op1(e11,e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_5_178,refute_5_205]) ).
cnf(refute_5_207,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_5_59]) ).
cnf(refute_5_208,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_5_61]) ).
cnf(refute_5_209,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_5_208,refute_5_10]) ).
cnf(refute_5_210,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_62]) ).
cnf(refute_5_211,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_212,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_211]) ).
cnf(refute_5_213,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_5_212,refute_5_210]) ).
cnf(refute_5_214,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_5_215,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_5_214,refute_5_213]) ).
cnf(refute_5_216,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_5_209,refute_5_215]) ).
cnf(refute_5_217,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_216,refute_5_47]) ).
cnf(refute_5_218,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_5_63]) ).
cnf(refute_5_219,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_5_220,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_221,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_5_219,refute_5_220]) ).
cnf(refute_5_222,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_221]) ).
cnf(refute_5_223,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_5_224,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_5_222,refute_5_223]) ).
cnf(refute_5_225,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_5_218,refute_5_224]) ).
cnf(refute_5_226,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_5_227,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_5_225,refute_5_226]) ).
cnf(refute_5_228,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_5_229,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_227,refute_5_228]) ).
cnf(refute_5_230,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_5_217,refute_5_229]) ).
cnf(refute_5_231,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_230,refute_5_49]) ).
cnf(refute_5_232,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_5_233,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_231,refute_5_232]) ).
cnf(refute_5_234,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_5_233,refute_5_207]) ).
cnf(refute_5_235,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_236,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_234,refute_5_235]) ).
cnf(refute_5_237,plain,
( h4(op1(e11,e10)) = op2(h2(e13),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_5_206,refute_5_236]) ).
cnf(refute_5_238,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_5_64]) ).
cnf(refute_5_239,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_5_65]) ).
cnf(refute_5_240,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_241,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_242,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_5_240,refute_5_241]) ).
cnf(refute_5_243,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_239,refute_5_242]) ).
cnf(refute_5_244,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_245,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_5_243,refute_5_244]) ).
cnf(refute_5_246,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_5_238,refute_5_245]) ).
cnf(refute_5_247,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_248,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_234,refute_5_247]) ).
cnf(refute_5_249,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_5_246,refute_5_248]) ).
cnf(refute_5_250,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_5_251,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_250]) ).
cnf(refute_5_252,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_5_249,refute_5_251]) ).
cnf(refute_5_253,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_5_67]) ).
cnf(refute_5_254,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_69]) ).
cnf(refute_5_255,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_5_71]) ).
cnf(refute_5_256,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_5_257,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_5_255,refute_5_256]) ).
cnf(refute_5_258,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_5_259,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_258]) ).
cnf(refute_5_260,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_5_259,refute_5_254]) ).
cnf(refute_5_261,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_253,refute_5_260]) ).
cnf(refute_5_262,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_72]) ).
cnf(refute_5_263,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_5_73]) ).
cnf(refute_5_264,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_5_265,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_266,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_5_264,refute_5_265]) ).
cnf(refute_5_267,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_266]) ).
cnf(refute_5_268,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_5_269,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_5_267,refute_5_268]) ).
cnf(refute_5_270,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_5_263,refute_5_269]) ).
cnf(refute_5_271,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_5_272,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_5_270,refute_5_271]) ).
cnf(refute_5_273,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_5_274,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_272,refute_5_273]) ).
cnf(refute_5_275,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_5_274,refute_5_262]) ).
cnf(refute_5_276,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_261,refute_5_275]) ).
cnf(refute_5_277,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_5_278,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_276,refute_5_277]) ).
cnf(refute_5_279,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_5_252,refute_5_278]) ).
cnf(refute_5_280,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_5_281,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_239,refute_5_280]) ).
cnf(refute_5_282,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_5_279,refute_5_281]) ).
cnf(refute_5_283,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_5_284,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_283,refute_5_49]) ).
cnf(refute_5_285,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_282,refute_5_284]) ).
cnf(refute_5_286,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_287,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_285,refute_5_286]) ).
cnf(refute_5_288,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_5_252,refute_5_287]) ).
cnf(refute_5_289,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_290,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_289]) ).
cnf(refute_5_291,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_288,refute_5_290]) ).
cnf(refute_5_292,plain,
( h2(e13) != e21
| h4(op1(e11,e10)) != op2(h2(e13),e23)
| h4(op1(e11,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_293,plain,
( h4(op1(e11,e10)) != op2(h2(e13),e23)
| h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_291,refute_5_292]) ).
cnf(refute_5_294,plain,
( h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),e23)) )],[refute_5_237,refute_5_293]) ).
cnf(refute_5_295,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_5_296,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| h4(op1(e11,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_227,refute_5_295]) ).
cnf(refute_5_297,plain,
( h4(op1(e11,e10)) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e23)) )],[refute_5_294,refute_5_296]) ).
cnf(refute_5_298,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_5_74]) ).
cnf(refute_5_299,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| op2(h2(e13),h2(e13)) = h2(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_5_300,plain,
op2(h2(e13),h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_299]) ).
cnf(refute_5_301,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).
cnf(refute_5_302,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_303,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_5_301,refute_5_302]) ).
cnf(refute_5_304,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_303]) ).
cnf(refute_5_305,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_306,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_307,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_305,refute_5_306]) ).
cnf(refute_5_308,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_307]) ).
cnf(refute_5_309,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_5_310,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_5_308,refute_5_309]) ).
cnf(refute_5_311,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_5_304,refute_5_310]) ).
cnf(refute_5_312,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_5_313,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_5_311,refute_5_312]) ).
cnf(refute_5_314,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_5_300,refute_5_313]) ).
cnf(refute_5_315,plain,
( h4(op1(e11,e11)) != h2(e11)
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_316,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_5_314,refute_5_315]) ).
cnf(refute_5_317,plain,
h4(op1(e11,e11)) != h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_316,refute_5_298]) ).
cnf(refute_5_318,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_291,refute_5_112]) ).
cnf(refute_5_319,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_318]) ).
cnf(refute_5_320,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_5_319,refute_5_126]) ).
cnf(refute_5_321,plain,
( h2(e11) != h2(e10)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_5_322,plain,
( h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e11)) = h2(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_5_320,refute_5_321]) ).
cnf(refute_5_323,plain,
( h4(op1(e11,e11)) != h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_5_322,refute_5_317]) ).
cnf(refute_5_324,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_291,refute_5_128]) ).
cnf(refute_5_325,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_5_122,refute_5_324]) ).
cnf(refute_5_326,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_5_325,refute_5_132]) ).
cnf(refute_5_327,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_5_326,refute_5_134]) ).
cnf(refute_5_328,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_5_327,refute_5_136]) ).
cnf(refute_5_329,plain,
( h2(e10) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_291,refute_5_328]) ).
cnf(refute_5_330,plain,
( h2(e10) != e21
| h4(op1(e11,e11)) != e21
| h4(op1(e11,e11)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_5_331,plain,
( h4(op1(e11,e11)) != e21
| h4(op1(e11,e11)) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_5_329,refute_5_330]) ).
cnf(refute_5_332,plain,
( h4(op1(e11,e11)) != e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e10)) )],[refute_5_331,refute_5_323]) ).
cnf(refute_5_333,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_5_75]) ).
cnf(refute_5_334,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_5_77]) ).
cnf(refute_5_335,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_78]) ).
cnf(refute_5_336,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_5_79]) ).
cnf(refute_5_337,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_5_338,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_339,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_337,refute_5_338]) ).
cnf(refute_5_340,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_339]) ).
cnf(refute_5_341,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_5_342,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_343,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_341,refute_5_342]) ).
cnf(refute_5_344,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_343]) ).
cnf(refute_5_345,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_346,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_344,refute_5_345]) ).
cnf(refute_5_347,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_5_340,refute_5_346]) ).
cnf(refute_5_348,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_5_349,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_5_347,refute_5_348]) ).
cnf(refute_5_350,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_336,refute_5_349]) ).
cnf(refute_5_351,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_352,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_5_350,refute_5_351]) ).
cnf(refute_5_353,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_354,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_352,refute_5_353]) ).
cnf(refute_5_355,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_5_354,refute_5_335]) ).
cnf(refute_5_356,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_5_334,refute_5_355]) ).
cnf(refute_5_357,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_5_358,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_356,refute_5_357]) ).
cnf(refute_5_359,plain,
( op1(e10,e12) != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_5_358,refute_5_333]) ).
cnf(refute_5_360,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_5_361,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_285,refute_5_360]) ).
cnf(refute_5_362,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_361,refute_5_359]) ).
cnf(refute_5_363,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_5_364,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_5_363,refute_5_362]) ).
cnf(refute_5_365,plain,
( h4(e11) != e21
| op1(e11,e11) != e11
| h4(op1(e11,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_366,plain,
( h4(e11) != e21
| h4(op1(e11,e11)) = e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_364,refute_5_365]) ).
cnf(refute_5_367,plain,
( h4(e11) != e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e21) )],[refute_5_366,refute_5_332]) ).
cnf(refute_5_368,plain,
( h2(e13) != e21
| h4(e11) != h2(e13)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_369,plain,
( h2(e13) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_368]) ).
cnf(refute_5_370,plain,
( h2(e13) != e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_369,refute_5_367]) ).
cnf(refute_5_371,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_5_372,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_291,refute_5_371]) ).
cnf(refute_5_373,plain,
( e21 != e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_372,refute_5_370]) ).
cnf(refute_5_374,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_373]) ).
cnf(refute_5_375,plain,
( h4(op1(e11,e10)) != h4(e10)
| op1(e11,e10) != e11
| h4(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_376,plain,
( h4(op1(e11,e10)) != h4(e10)
| h4(e11) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_5_374,refute_5_375]) ).
cnf(refute_5_377,plain,
( h4(e11) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_5_297,refute_5_376]) ).
cnf(refute_5_378,plain,
( h4(e11) != h2(e13)
| h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_379,plain,
( h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_378]) ).
cnf(refute_5_380,plain,
( h2(e13) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_5_377,refute_5_379]) ).
cnf(refute_5_381,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_5_80]) ).
cnf(refute_5_382,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_5_383,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_382]) ).
cnf(refute_5_384,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_5_383,refute_5_381]) ).
cnf(refute_5_385,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_5_386,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_227,refute_5_385]) ).
cnf(refute_5_387,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_5_386,refute_5_384]) ).
cnf(refute_5_388,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_5_380,refute_5_387]) ).
cnf(refute_5_389,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_5_388,refute_5_177]) ).
cnf(refute_5_390,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_5_89]) ).
cnf(refute_5_391,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_5_91]) ).
cnf(refute_5_392,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_5_393,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_227,refute_5_392]) ).
cnf(refute_5_394,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_5_391,refute_5_393]) ).
cnf(refute_5_395,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_92]) ).
cnf(refute_5_396,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_397,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_396]) ).
cnf(refute_5_398,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_5_397,refute_5_395]) ).
cnf(refute_5_399,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_400,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_227,refute_5_399]) ).
cnf(refute_5_401,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_402,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_401]) ).
cnf(refute_5_403,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_5_402,refute_5_400]) ).
cnf(refute_5_404,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_5_403,refute_5_398]) ).
cnf(refute_5_405,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_5_394,refute_5_404]) ).
cnf(refute_5_406,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_5_93]) ).
cnf(refute_5_407,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_94]) ).
cnf(refute_5_408,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_5_409,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_408]) ).
cnf(refute_5_410,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_5_409,refute_5_407]) ).
cnf(refute_5_411,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_5_406,refute_5_410]) ).
cnf(refute_5_412,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_95]) ).
cnf(refute_5_413,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_5_414,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_272,refute_5_413]) ).
cnf(refute_5_415,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_5_414,refute_5_412]) ).
cnf(refute_5_416,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_411,refute_5_415]) ).
cnf(refute_5_417,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_416,refute_5_357]) ).
cnf(refute_5_418,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_5_417,refute_5_333]) ).
cnf(refute_5_419,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_5_420,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_276,refute_5_419]) ).
cnf(refute_5_421,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_5_246,refute_5_420]) ).
cnf(refute_5_422,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_5_423,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_239,refute_5_422]) ).
cnf(refute_5_424,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_5_425,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_5_246,refute_5_424]) ).
cnf(refute_5_426,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_5_427,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_5_425,refute_5_426]) ).
cnf(refute_5_428,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_5_423,refute_5_427]) ).
cnf(refute_5_429,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_5_421,refute_5_428]) ).
cnf(refute_5_430,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_5_96]) ).
cnf(refute_5_431,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_5_432,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_431]) ).
cnf(refute_5_433,plain,
h1(e13) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_5_432,refute_5_430]) ).
cnf(refute_5_434,plain,
( h1(e13) != e23
| op2(e20,e23) != e23
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_5_435,plain,
( h1(e13) != e23
| h1(e13) = op2(e20,e23)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_231,refute_5_434]) ).
cnf(refute_5_436,plain,
( h1(e13) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_5_435,refute_5_433]) ).
cnf(refute_5_437,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_5_97]) ).
cnf(refute_5_438,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_5_99]) ).
cnf(refute_5_439,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_5_100]) ).
cnf(refute_5_440,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_5_441,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_440]) ).
cnf(refute_5_442,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_5_439,refute_5_441]) ).
cnf(refute_5_443,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_442,refute_5_284]) ).
cnf(refute_5_444,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_5_445,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_444]) ).
cnf(refute_5_446,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_443,refute_5_445]) ).
cnf(refute_5_447,plain,
e20 != e21,
inference(canonicalize,[],[normalize_5_101]) ).
cnf(refute_5_448,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_446,refute_5_447]) ).
cnf(refute_5_449,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_5_450,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_448,refute_5_449]) ).
cnf(refute_5_451,plain,
( e21 = e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_5_438,refute_5_450]) ).
cnf(refute_5_452,plain,
e21 != e22,
inference(canonicalize,[],[normalize_5_102]) ).
cnf(refute_5_453,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_451,refute_5_452]) ).
cnf(refute_5_454,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_5_455,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_453,refute_5_454]) ).
cnf(refute_5_456,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_5_455,refute_5_437]) ).
cnf(refute_5_457,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_5_103]) ).
cnf(refute_5_458,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_5_104]) ).
cnf(refute_5_459,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_458,refute_5_106]) ).
cnf(refute_5_460,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_105]) ).
cnf(refute_5_461,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_462,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_461]) ).
cnf(refute_5_463,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_5_462,refute_5_460]) ).
cnf(refute_5_464,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_465,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_464]) ).
cnf(refute_5_466,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_5_465,refute_5_463]) ).
cnf(refute_5_467,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_5_459,refute_5_466]) ).
cnf(refute_5_468,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_469,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_467,refute_5_468]) ).
cnf(refute_5_470,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_5_469,refute_5_457]) ).
cnf(refute_5_471,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_472,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_470,refute_5_471]) ).
cnf(refute_5_473,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_472,refute_5_456]) ).
cnf(refute_5_474,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_473]) ).
cnf(refute_5_475,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_5_106]) ).
cnf(refute_5_476,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_5_477,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_476]) ).
cnf(refute_5_478,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_5_477,refute_5_475]) ).
cnf(refute_5_479,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_107]) ).
cnf(refute_5_480,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_5_108]) ).
cnf(refute_5_481,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_5_110]) ).
cnf(refute_5_482,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_5_481,refute_5_215]) ).
cnf(refute_5_483,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_111]) ).
cnf(refute_5_484,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_485,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_484]) ).
cnf(refute_5_486,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_5_485,refute_5_483]) ).
cnf(refute_5_487,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_488,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_487]) ).
cnf(refute_5_489,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_5_488,refute_5_486]) ).
cnf(refute_5_490,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_482,refute_5_489]) ).
cnf(refute_5_491,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_5_492,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_5_490,refute_5_491]) ).
cnf(refute_5_493,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_5_492,refute_5_480]) ).
cnf(refute_5_494,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_495,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_494]) ).
cnf(refute_5_496,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_495,refute_5_493]) ).
cnf(refute_5_497,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_5_498,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_496]) ).
cnf(refute_5_499,plain,
( op2(e22,e21) != e20
| op2(e22,e23) != e20
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_5_500,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_5_498,refute_5_499]) ).
cnf(refute_5_501,plain,
( op2(e22,e21) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_5_500,refute_5_479]) ).
cnf(refute_5_502,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(canonicalize,[],[normalize_5_112]) ).
cnf(refute_5_503,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_504,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_503]) ).
cnf(refute_5_505,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_502,refute_5_504]) ).
cnf(refute_5_506,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_113]) ).
cnf(refute_5_507,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_5_508,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_507]) ).
cnf(refute_5_509,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_5_508,refute_5_506]) ).
cnf(refute_5_510,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_505,refute_5_509]) ).
cnf(refute_5_511,plain,
( e20 != e20
| op2(e22,e21) != e20
| op2(e22,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[1],$fot(e20)]]) ).
cnf(refute_5_512,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_510,refute_5_511]) ).
cnf(refute_5_513,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_512,refute_5_501]) ).
cnf(refute_5_514,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_513]) ).
cnf(refute_5_515,plain,
( h1(e13) != e20
| op2(e20,e21) != e20
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_516,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e21)
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_514,refute_5_515]) ).
cnf(refute_5_517,plain,
( h1(e13) != e20
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_5_516,refute_5_478]) ).
cnf(refute_5_518,plain,
( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_5_114]) ).
cnf(refute_5_519,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_5_115]) ).
cnf(refute_5_520,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_519,refute_5_75]) ).
cnf(refute_5_521,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_5_520,refute_5_175]) ).
cnf(refute_5_522,plain,
( op2(e22,e20) != e20
| op2(e22,op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e20)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_5_523,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,op2(e22,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_5_521,refute_5_522]) ).
cnf(refute_5_524,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e20)),e20) )],[refute_5_523,refute_5_518]) ).
cnf(refute_5_525,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_116]) ).
cnf(refute_5_526,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_5_117]) ).
cnf(refute_5_527,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_528,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_527]) ).
cnf(refute_5_529,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_5_526,refute_5_528]) ).
cnf(refute_5_530,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_118]) ).
cnf(refute_5_531,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_532,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_531]) ).
cnf(refute_5_533,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_5_532,refute_5_530]) ).
cnf(refute_5_534,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_5_529,refute_5_533]) ).
cnf(refute_5_535,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_5_536,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_5_534,refute_5_535]) ).
cnf(refute_5_537,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_5_536,refute_5_525]) ).
cnf(refute_5_538,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_119]) ).
cnf(refute_5_539,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_5_120]) ).
cnf(refute_5_540,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_5_541,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_539,refute_5_540]) ).
cnf(refute_5_542,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_5_541,refute_5_538]) ).
cnf(refute_5_543,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_5_121]) ).
cnf(refute_5_544,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_543,refute_5_509]) ).
cnf(refute_5_545,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_5_544,refute_5_466]) ).
cnf(refute_5_546,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_5_547,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_5_545,refute_5_546]) ).
cnf(refute_5_548,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_5_547,refute_5_542]) ).
cnf(refute_5_549,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_5_550,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_549,refute_5_548]) ).
cnf(refute_5_551,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_5_552,plain,
( e23 != e23
| e23 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_550,refute_5_551]) ).
cnf(refute_5_553,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_5_552,refute_5_537]) ).
cnf(refute_5_554,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_553]) ).
cnf(refute_5_555,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_5_556,plain,
( op2(e21,e20) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_5_554,refute_5_555]) ).
cnf(refute_5_557,plain,
( e23 = e20
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_5_524,refute_5_556]) ).
cnf(refute_5_558,plain,
e20 != e23,
inference(canonicalize,[],[normalize_5_122]) ).
cnf(refute_5_559,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_560,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_559,refute_5_558]) ).
cnf(refute_5_561,plain,
( h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_557,refute_5_560]) ).
cnf(refute_5_562,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_561,refute_5_83]) ).
cnf(refute_5_563,plain,
( e20 != e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_562,refute_5_517]) ).
cnf(refute_5_564,plain,
( h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_563]) ).
cnf(refute_5_565,plain,
( h2(e13) != e20
| h2(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_5_566,plain,
( h2(e13) != e21
| e20 = e21
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_564,refute_5_565]) ).
cnf(refute_5_567,plain,
( e20 = e21
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_474,refute_5_566]) ).
cnf(refute_5_568,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_567,refute_5_447]) ).
cnf(refute_5_569,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_570,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_5_568,refute_5_569]) ).
cnf(refute_5_571,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_5_570,refute_5_436]) ).
cnf(refute_5_572,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_571]) ).
cnf(refute_5_573,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_572,refute_5_247]) ).
cnf(refute_5_574,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_5_246,refute_5_573]) ).
cnf(refute_5_575,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_5_574,refute_5_251]) ).
cnf(refute_5_576,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_5_577,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_5_575,refute_5_576]) ).
cnf(refute_5_578,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_5_429,refute_5_577]) ).
cnf(refute_5_579,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_578,refute_5_284]) ).
cnf(refute_5_580,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_579,refute_5_360]) ).
cnf(refute_5_581,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_580,refute_5_418]) ).
cnf(refute_5_582,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_5_363,refute_5_581]) ).
cnf(refute_5_583,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_5_584,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_5_582,refute_5_583]) ).
cnf(refute_5_585,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_5_584,refute_5_333]) ).
cnf(refute_5_586,plain,
( h2(e13) != e21
| h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_587,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_474,refute_5_586]) ).
cnf(refute_5_588,plain,
( h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_5_206,refute_5_587]) ).
cnf(refute_5_589,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_590,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_572,refute_5_589]) ).
cnf(refute_5_591,plain,
( h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) )],[refute_5_588,refute_5_590]) ).
cnf(refute_5_592,plain,
( h4(op1(e11,e10)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e23)) )],[refute_5_591,refute_5_296]) ).
cnf(refute_5_593,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_5_123]) ).
cnf(refute_5_594,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_5_595,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_257,refute_5_594]) ).
cnf(refute_5_596,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_5_593,refute_5_595]) ).
cnf(refute_5_597,plain,
e12 != e13,
inference(canonicalize,[],[normalize_5_125]) ).
cnf(refute_5_598,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_5_599,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_5_598,refute_5_597]) ).
cnf(refute_5_600,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_5_596,refute_5_599]) ).
cnf(refute_5_601,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_5_602,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_272,refute_5_601]) ).
cnf(refute_5_603,plain,
( e10 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_5_600,refute_5_602]) ).
cnf(refute_5_604,plain,
e10 != e12,
inference(canonicalize,[],[normalize_5_126]) ).
cnf(refute_5_605,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_603,refute_5_604]) ).
cnf(refute_5_606,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_5_607,plain,
( op1(e11,e12) != e12
| e11 = e12
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_356,refute_5_606]) ).
cnf(refute_5_608,plain,
( e11 = e12
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_5_605,refute_5_607]) ).
cnf(refute_5_609,plain,
e11 != e12,
inference(canonicalize,[],[normalize_5_127]) ).
cnf(refute_5_610,plain,
( op1(e10,e12) = e12
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_5_608,refute_5_609]) ).
cnf(refute_5_611,plain,
( h4(e11) != h2(e11)
| op1(e11,e11) != e11
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_612,plain,
( h4(e11) != h2(e11)
| h4(op1(e11,e11)) = h2(e11)
| op1(e10,e12) = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_610,refute_5_611]) ).
cnf(refute_5_613,plain,
( h4(e11) != h2(e11)
| op1(e10,e12) = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_5_612,refute_5_317]) ).
cnf(refute_5_614,plain,
( h2(e13) != h2(e11)
| h4(e11) != h2(e13)
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_615,plain,
( h2(e13) != h2(e11)
| h4(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_199,refute_5_614]) ).
cnf(refute_5_616,plain,
( h2(e13) != h2(e11)
| op1(e10,e12) = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_5_615,refute_5_613]) ).
cnf(refute_5_617,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_474,refute_5_109]) ).
cnf(refute_5_618,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_617]) ).
cnf(refute_5_619,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_620,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_5_474,refute_5_619]) ).
cnf(refute_5_621,plain,
( h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_5_618,refute_5_620]) ).
cnf(refute_5_622,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_5_623,plain,
( h2(e11) != op2(e21,e21)
| h2(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_622]) ).
cnf(refute_5_624,plain,
( h2(e11) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_621,refute_5_623]) ).
cnf(refute_5_625,plain,
( h2(e11) != h2(e13)
| h2(e13) = h2(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_5_626,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e13)) )],[refute_5_624,refute_5_625]) ).
cnf(refute_5_627,plain,
( h2(e11) != h2(e11)
| h2(e13) != h2(e11)
| h2(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h2(e11)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_628,plain,
( h2(e11) != h2(e11)
| h2(e13) = h2(e11)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_5_626,refute_5_627]) ).
cnf(refute_5_629,plain,
( h2(e11) != h2(e11)
| op1(e10,e12) = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_5_628,refute_5_616]) ).
cnf(refute_5_630,plain,
h2(e11) = h2(e11),
introduced(tautology,[refl,[$fot(h2(e11))]]) ).
cnf(refute_5_631,plain,
( op1(e10,e12) = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e11)) )],[refute_5_630,refute_5_629]) ).
cnf(refute_5_632,plain,
( h4(op1(e11,e10)) != h4(e10)
| h4(e11) = h4(e10)
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_5_631,refute_5_375]) ).
cnf(refute_5_633,plain,
( h4(e11) = h4(e10)
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_5_592,refute_5_632]) ).
cnf(refute_5_634,plain,
( h2(e13) = h4(e10)
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_5_633,refute_5_379]) ).
cnf(refute_5_635,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_5_634,refute_5_387]) ).
cnf(refute_5_636,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_5_637,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_635,refute_5_636]) ).
cnf(refute_5_638,plain,
( e12 != e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_637,refute_5_585]) ).
cnf(refute_5_639,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_5_640,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_5_639,refute_5_638]) ).
cnf(refute_5_641,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_5_640,refute_5_405]) ).
cnf(refute_5_642,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_5_641,refute_5_390]) ).
cnf(refute_5_643,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_5_129]) ).
cnf(refute_5_644,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_5_130]) ).
cnf(refute_5_645,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_5_131]) ).
cnf(refute_5_646,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_5_645,refute_5_441]) ).
cnf(refute_5_647,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_646,refute_5_284]) ).
cnf(refute_5_648,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_647,refute_5_489]) ).
cnf(refute_5_649,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_648,refute_5_468]) ).
cnf(refute_5_650,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_5_649,refute_5_644]) ).
cnf(refute_5_651,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_5_652,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_5_650,refute_5_651]) ).
cnf(refute_5_653,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_5_643,refute_5_652]) ).
cnf(refute_5_654,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_653,refute_5_452]) ).
cnf(refute_5_655,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_5_654,refute_5_642]) ).
cnf(refute_5_656,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_5_132]) ).
cnf(refute_5_657,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_5_654,refute_5_656]) ).
cnf(refute_5_658,plain,
( ~ definitionFOFtoCNF_23
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_5_641,refute_5_657]) ).
cnf(refute_5_659,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_5_133]) ).
cnf(refute_5_660,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_5_661,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_5_662,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_5_660,refute_5_661]) ).
cnf(refute_5_663,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_662]) ).
cnf(refute_5_664,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_5_665,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_666,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_664,refute_5_665]) ).
cnf(refute_5_667,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_666]) ).
cnf(refute_5_668,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_5_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_5_669,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_5_667,refute_5_668]) ).
cnf(refute_5_670,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_5_663,refute_5_669]) ).
cnf(refute_5_671,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_5_672,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_5_670,refute_5_671]) ).
cnf(refute_5_673,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_659,refute_5_672]) ).
cnf(refute_5_674,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_5_134]) ).
cnf(refute_5_675,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_5_676,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_675]) ).
cnf(refute_5_677,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_5_676,refute_5_674]) ).
cnf(refute_5_678,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_5_146]) ).
cnf(refute_5_679,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_5_148]) ).
cnf(refute_5_680,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_5_679,refute_5_215]) ).
cnf(refute_5_681,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_5_150]) ).
cnf(refute_5_682,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_683,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_5_684,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_5_682,refute_5_683]) ).
cnf(refute_5_685,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_684]) ).
cnf(refute_5_686,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_5_687,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_5_685,refute_5_686]) ).
cnf(refute_5_688,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_5_687,refute_5_681]) ).
cnf(refute_5_689,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_5_690,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_691,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_5_689,refute_5_690]) ).
cnf(refute_5_692,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_691]) ).
cnf(refute_5_693,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_5_694,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_5_692,refute_5_693]) ).
cnf(refute_5_695,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_5_694,refute_5_688]) ).
cnf(refute_5_696,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_5_151]) ).
cnf(refute_5_697,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_5_698,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_696,refute_5_697]) ).
cnf(refute_5_699,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_698,refute_5_695]) ).
cnf(refute_5_700,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_699]) ).
cnf(refute_5_701,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_5_700,refute_5_680]) ).
cnf(refute_5_702,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_5_678,refute_5_701]) ).
cnf(refute_5_703,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_5_153]) ).
cnf(refute_5_704,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_5_705,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_704]) ).
cnf(refute_5_706,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_5_703,refute_5_705]) ).
cnf(refute_5_707,plain,
e20 != e22,
inference(canonicalize,[],[normalize_5_154]) ).
cnf(refute_5_708,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_706,refute_5_707]) ).
cnf(refute_5_709,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_5_702,refute_5_708]) ).
cnf(refute_5_710,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_5_155]) ).
cnf(refute_5_711,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_710,refute_5_75]) ).
cnf(refute_5_712,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_711,refute_5_169]) ).
cnf(refute_5_713,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_5_714,plain,
( op2(e20,e23) != e23
| e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_712,refute_5_713]) ).
cnf(refute_5_715,plain,
( e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_709,refute_5_714]) ).
cnf(refute_5_716,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_715,refute_5_558]) ).
cnf(refute_5_717,plain,
( e20 != h2(e13)
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_5_718,plain,
( e20 != h2(e13)
| h1(e13) = e20
| op2(e20,e21) = h2(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_716,refute_5_717]) ).
cnf(refute_5_719,plain,
( e20 != h2(e13)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_5_718,refute_5_677]) ).
cnf(refute_5_720,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_5_156]) ).
cnf(refute_5_721,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_5_722,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_709,refute_5_721]) ).
cnf(refute_5_723,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_5_722,refute_5_720]) ).
cnf(refute_5_724,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_5_157]) ).
cnf(refute_5_725,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_5_724,refute_5_701]) ).
cnf(refute_5_726,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_5_725,refute_5_708]) ).
cnf(refute_5_727,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_5_158]) ).
cnf(refute_5_728,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_729,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_728]) ).
cnf(refute_5_730,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_727,refute_5_729]) ).
cnf(refute_5_731,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_159]) ).
cnf(refute_5_732,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_733,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_732]) ).
cnf(refute_5_734,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_5_733,refute_5_731]) ).
cnf(refute_5_735,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_5_730,refute_5_734]) ).
cnf(refute_5_736,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_5_737,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_735,refute_5_736]) ).
cnf(refute_5_738,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_5_737,refute_5_726]) ).
cnf(refute_5_739,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_5_740,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_739]) ).
cnf(refute_5_741,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_740,refute_5_738]) ).
cnf(refute_5_742,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_741]) ).
cnf(refute_5_743,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_744,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_742,refute_5_743]) ).
cnf(refute_5_745,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_744,refute_5_723]) ).
cnf(refute_5_746,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_745]) ).
cnf(refute_5_747,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_748,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_746,refute_5_747]) ).
cnf(refute_5_749,plain,
( h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_748]) ).
cnf(refute_5_750,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_751,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_746,refute_5_750]) ).
cnf(refute_5_752,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_5_103,refute_5_751]) ).
cnf(refute_5_753,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_754,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_746,refute_5_753]) ).
cnf(refute_5_755,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_5_752,refute_5_754]) ).
cnf(refute_5_756,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_5_757,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_182,refute_5_756]) ).
cnf(refute_5_758,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_5_755,refute_5_757]) ).
cnf(refute_5_759,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_5_760,plain,
( h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_758,refute_5_759]) ).
cnf(refute_5_761,plain,
( e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) )],[refute_5_749,refute_5_760]) ).
cnf(refute_5_762,plain,
( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_5_160]) ).
cnf(refute_5_763,plain,
( op2(e21,e20) != e21
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_762,refute_5_75]) ).
cnf(refute_5_764,plain,
( op2(e21,e20) != e21
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_763,refute_5_504]) ).
cnf(refute_5_765,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_5_766,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_765]) ).
cnf(refute_5_767,plain,
( op2(e21,e20) != e21
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_764,refute_5_766]) ).
cnf(refute_5_768,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_5_769,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_768]) ).
cnf(refute_5_770,plain,
( op2(e21,e20) != e21
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_767,refute_5_769]) ).
cnf(refute_5_771,plain,
( op2(e21,e20) != e21
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_770,refute_5_560]) ).
cnf(refute_5_772,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_5_773,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_772]) ).
cnf(refute_5_774,plain,
( op2(e21,e20) != e21
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_771,refute_5_773]) ).
cnf(refute_5_775,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_776,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_775,refute_5_447]) ).
cnf(refute_5_777,plain,
( op2(e21,e20) != e21
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_5_774,refute_5_776]) ).
cnf(refute_5_778,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_5_161]) ).
cnf(refute_5_779,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_5_162]) ).
cnf(refute_5_780,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_781,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_780]) ).
cnf(refute_5_782,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_779,refute_5_781]) ).
cnf(refute_5_783,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_163]) ).
cnf(refute_5_784,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_785,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_784]) ).
cnf(refute_5_786,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_5_785,refute_5_783]) ).
cnf(refute_5_787,plain,
( h4(e13) != e21
| op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_788,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_787]) ).
cnf(refute_5_789,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_5_788,refute_5_786]) ).
cnf(refute_5_790,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_5_782,refute_5_789]) ).
cnf(refute_5_791,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_5_792,plain,
( e21 != op2(e22,e21)
| h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_5_790,refute_5_791]) ).
cnf(refute_5_793,plain,
( e21 != op2(e22,e21)
| h1(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_5_792,refute_5_778]) ).
cnf(refute_5_794,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_5_164]) ).
cnf(refute_5_795,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_5_796,plain,
( e20 != op2(e22,e21)
| h1(e13) = e20
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_716,refute_5_795]) ).
cnf(refute_5_797,plain,
( e20 != op2(e22,e21)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_5_796,refute_5_794]) ).
cnf(refute_5_798,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_5_165]) ).
cnf(refute_5_799,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_5_798,refute_5_701]) ).
cnf(refute_5_800,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_5_799,refute_5_708]) ).
cnf(refute_5_801,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_5_800,refute_5_535]) ).
cnf(refute_5_802,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_5_801,refute_5_525]) ).
cnf(refute_5_803,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_5_545,refute_5_551]) ).
cnf(refute_5_804,plain,
( e23 != e23
| op2(e23,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_5_803,refute_5_802]) ).
cnf(refute_5_805,plain,
( op2(e23,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_804]) ).
cnf(refute_5_806,plain,
( op2(e22,e21) != e22
| op2(e23,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_5_807,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_5_805,refute_5_806]) ).
cnf(refute_5_808,plain,
( op2(e22,e21) != e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_5_807,refute_5_538]) ).
cnf(refute_5_809,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_5_166]) ).
cnf(refute_5_810,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_5_809,refute_5_734]) ).
cnf(refute_5_811,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_5_812,plain,
( e22 != e22
| op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_810,refute_5_811]) ).
cnf(refute_5_813,plain,
( e22 != e22
| op2(e22,e21) = e20
| op2(e22,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_812,refute_5_808]) ).
cnf(refute_5_814,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_549,refute_5_813]) ).
cnf(refute_5_815,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_816,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_814,refute_5_815]) ).
cnf(refute_5_817,plain,
( e20 != e20
| h1(e13) = e20
| op2(e22,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_5_816,refute_5_797]) ).
cnf(refute_5_818,plain,
( h1(e13) = e20
| op2(e22,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_817]) ).
cnf(refute_5_819,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_5_820,plain,
( e21 != e21
| e21 = op2(e22,e21)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_818,refute_5_819]) ).
cnf(refute_5_821,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_5_820,refute_5_793]) ).
cnf(refute_5_822,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e21
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_821,refute_5_777]) ).
cnf(refute_5_823,plain,
( h1(e13) = e20
| h1(e13) = e21
| h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_822]) ).
cnf(refute_5_824,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_825,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| h1(e13) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_823,refute_5_824]) ).
cnf(refute_5_826,plain,
( e21 = op2(e20,e23)
| h1(e13) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_5_761,refute_5_825]) ).
cnf(refute_5_827,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_167]) ).
cnf(refute_5_828,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_829,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_828]) ).
cnf(refute_5_830,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_5_829,refute_5_827]) ).
cnf(refute_5_831,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_5_832,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_831]) ).
cnf(refute_5_833,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_5_832,refute_5_830]) ).
cnf(refute_5_834,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_835,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_5_834,refute_5_833]) ).
cnf(refute_5_836,plain,
( h1(e13) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_5_826,refute_5_835]) ).
cnf(refute_5_837,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_838,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e21,h1(e13))
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_836,refute_5_837]) ).
cnf(refute_5_839,plain,
( h1(e11) = op2(e21,h1(e13))
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_5_673,refute_5_838]) ).
cnf(refute_5_840,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_841,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e11) = op2(e21,e21)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_836,refute_5_840]) ).
cnf(refute_5_842,plain,
( h1(e11) = op2(e21,e21)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) )],[refute_5_839,refute_5_841]) ).
cnf(refute_5_843,plain,
( h1(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h1(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_5_844,plain,
( h1(e11) != op2(e21,e21)
| h1(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_843]) ).
cnf(refute_5_845,plain,
( h1(e11) = h2(e13)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_5_842,refute_5_844]) ).
cnf(refute_5_846,plain,
( h1(e11) != h2(e13)
| h2(e13) = h1(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_5_847,plain,
( h1(e13) = e20
| h2(e13) = h1(e11)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_5_845,refute_5_846]) ).
cnf(refute_5_848,plain,
( e20 != h1(e11)
| h2(e13) != h1(e11)
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_5_849,plain,
( e20 != h1(e11)
| e20 = h2(e13)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e11)) )],[refute_5_847,refute_5_848]) ).
cnf(refute_5_850,plain,
( e20 != h1(e11)
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_5_849,refute_5_719]) ).
cnf(refute_5_851,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_5_168]) ).
cnf(refute_5_852,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_5_853,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_852]) ).
cnf(refute_5_854,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_5_853,refute_5_851]) ).
cnf(refute_5_855,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_5_169]) ).
cnf(refute_5_856,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_857,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_856]) ).
cnf(refute_5_858,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_5_855,refute_5_857]) ).
cnf(refute_5_859,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_860,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_859]) ).
cnf(refute_5_861,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_858,refute_5_860]) ).
cnf(refute_5_862,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_5_861,refute_5_17]) ).
cnf(refute_5_863,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_5_864,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_8,refute_5_863]) ).
cnf(refute_5_865,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_5_862,refute_5_864]) ).
cnf(refute_5_866,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_5_865,refute_5_21]) ).
cnf(refute_5_867,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_5_868,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_45,refute_5_867]) ).
cnf(refute_5_869,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_5_866,refute_5_868]) ).
cnf(refute_5_870,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_869,refute_5_452]) ).
cnf(refute_5_871,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_872,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_448,refute_5_871]) ).
cnf(refute_5_873,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_872,refute_5_870]) ).
cnf(refute_5_874,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_873]) ).
cnf(refute_5_875,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_5_876,plain,
( h1(e13) != e21
| h1(e13) = e22
| h1(e13) = op2(e20,e22)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_874,refute_5_875]) ).
cnf(refute_5_877,plain,
( h1(e13) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_5_876,refute_5_854]) ).
cnf(refute_5_878,plain,
( h1(e13) != e21
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_5_879,plain,
( h1(e13) != e21
| e21 = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_877,refute_5_878]) ).
cnf(refute_5_880,plain,
( h1(e13) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_879,refute_5_452]) ).
cnf(refute_5_881,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_882,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_836,refute_5_881]) ).
cnf(refute_5_883,plain,
( h1(e11) = op2(e20,h1(e13))
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_5_673,refute_5_882]) ).
cnf(refute_5_884,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_885,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e11) = op2(e20,e20)
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_836,refute_5_884]) ).
cnf(refute_5_886,plain,
( h1(e11) = op2(e20,e20)
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_5_883,refute_5_885]) ).
cnf(refute_5_887,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_5_888,plain,
( h1(e11) != op2(e20,e20)
| h1(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_65,refute_5_887]) ).
cnf(refute_5_889,plain,
( h1(e11) = h1(e13)
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_5_886,refute_5_888]) ).
cnf(refute_5_890,plain,
( h1(e11) != h1(e13)
| h1(e13) = h1(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_5_891,plain,
( h1(e13) = e21
| h1(e13) = h1(e11)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e13)) )],[refute_5_889,refute_5_890]) ).
cnf(refute_5_892,plain,
( h1(e13) != e20
| h1(e13) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_893,plain,
( h1(e13) != e20
| h1(e11) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_5_891,refute_5_892]) ).
cnf(refute_5_894,plain,
( h1(e11) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_836,refute_5_893]) ).
cnf(refute_5_895,plain,
( e21 != e21
| h1(e13) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_5_896,plain,
( e21 != e21
| h1(e11) = e20
| h1(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_894,refute_5_895]) ).
cnf(refute_5_897,plain,
( e21 != e21
| h1(e11) = e20
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_896,refute_5_880]) ).
cnf(refute_5_898,plain,
( h1(e11) = e20
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_897]) ).
cnf(refute_5_899,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e22
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_5_900,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e22,e23)
| h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_5_898,refute_5_899]) ).
cnf(refute_5_901,plain,
( e21 = op2(e22,e23)
| h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_5_761,refute_5_900]) ).
cnf(refute_5_902,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_5_903,plain,
e21 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_902,refute_5_489]) ).
cnf(refute_5_904,plain,
( h1(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_5_901,refute_5_903]) ).
cnf(refute_5_905,plain,
( e20 != e20
| h1(e11) != e20
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_5_906,plain,
( e20 != e20
| e20 = h1(e11)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_904,refute_5_905]) ).
cnf(refute_5_907,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_5_906,refute_5_850]) ).
cnf(refute_5_908,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_907]) ).
cnf(refute_5_909,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_908,refute_5_881]) ).
cnf(refute_5_910,plain,
( h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_5_673,refute_5_909]) ).
cnf(refute_5_911,plain,
( h1(e11) != e20
| h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_5_912,plain,
( h1(e11) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_904,refute_5_911]) ).
cnf(refute_5_913,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_5_910,refute_5_912]) ).
cnf(refute_5_914,plain,
( op2(e20,e21) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_874,refute_5_454]) ).
cnf(refute_5_915,plain,
( op2(e20,e21) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_5_914,refute_5_437]) ).
cnf(refute_5_916,plain,
( e20 != op2(e20,e21)
| h1(e13) != e20
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_5_917,plain,
( e20 != op2(e20,e21)
| h1(e13) = op2(e20,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_908,refute_5_916]) ).
cnf(refute_5_918,plain,
( e20 != op2(e20,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_5_917,refute_5_478]) ).
cnf(refute_5_919,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_170]) ).
cnf(refute_5_920,plain,
( op2(e20,e21) != e22
| op2(e23,e21) != e22
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_5_921,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_5_805,refute_5_920]) ).
cnf(refute_5_922,plain,
( op2(e20,e21) != e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_5_921,refute_5_919]) ).
cnf(refute_5_923,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_5_171]) ).
cnf(refute_5_924,plain,
( e23 != e23
| op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_923,refute_5_743]) ).
cnf(refute_5_925,plain,
( e23 != e23
| op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_924,refute_5_723]) ).
cnf(refute_5_926,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_497,refute_5_925]) ).
cnf(refute_5_927,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_5_928,plain,
( e22 != e22
| op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_926,refute_5_927]) ).
cnf(refute_5_929,plain,
( e22 != e22
| op2(e20,e21) = e20
| op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_928,refute_5_922]) ).
cnf(refute_5_930,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_549,refute_5_929]) ).
cnf(refute_5_931,plain,
( e20 != e20
| op2(e20,e21) != e20
| e20 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_932,plain,
( e20 != e20
| e20 = op2(e20,e21)
| op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_930,refute_5_931]) ).
cnf(refute_5_933,plain,
( e20 != e20
| op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e21)) )],[refute_5_932,refute_5_918]) ).
cnf(refute_5_934,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_86,refute_5_933]) ).
cnf(refute_5_935,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_934,refute_5_471]) ).
cnf(refute_5_936,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_935,refute_5_915]) ).
cnf(refute_5_937,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_936]) ).
cnf(refute_5_938,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e22,e23)
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_5_937,refute_5_899]) ).
cnf(refute_5_939,plain,
( e21 = op2(e22,e23)
| h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_5_761,refute_5_938]) ).
cnf(refute_5_940,plain,
( h1(e13) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_5_939,refute_5_903]) ).
cnf(refute_5_941,plain,
( e20 != op2(e20,h1(e13))
| h1(e13) != e22
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e20,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_942,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_940,refute_5_941]) ).
cnf(refute_5_943,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_5_913,refute_5_942]) ).
cnf(refute_5_944,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_945,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_944,refute_5_169]) ).
cnf(refute_5_946,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_5_943,refute_5_945]) ).
cnf(refute_5_947,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_5_946,refute_5_658]) ).
cnf(refute_5_948,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_949,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_947,refute_5_948]) ).
cnf(refute_5_950,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_5_949,refute_5_655]) ).
cnf(refute_5_951,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_5_952,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_54,refute_5_951]) ).
cnf(refute_5_953,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_952,refute_5_950]) ).
cnf(refute_5_954,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_5_946,refute_5_953]) ).
cnf(refute_5_955,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_5_172]) ).
cnf(refute_5_956,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_5_654,refute_5_955]) ).
cnf(refute_5_957,plain,
( ~ definitionFOFtoCNF_23
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_5_641,refute_5_956]) ).
cnf(refute_5_958,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_5_946,refute_5_957]) ).
cnf(refute_5_959,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_5_960,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_958,refute_5_959]) ).
cnf(refute_5_961,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_5_960,refute_5_794]) ).
cnf(refute_5_962,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_5_173]) ).
cnf(refute_5_963,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_5_174]) ).
cnf(refute_5_964,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_963,refute_5_781]) ).
cnf(refute_5_965,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_5_964,refute_5_833]) ).
cnf(refute_5_966,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_5_967,plain,
( e21 != op2(e21,e22)
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_965,refute_5_966]) ).
cnf(refute_5_968,plain,
( e21 != op2(e21,e22)
| h1(e13) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_5_967,refute_5_962]) ).
cnf(refute_5_969,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_5_175]) ).
cnf(refute_5_970,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_176]) ).
cnf(refute_5_971,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_972,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_971]) ).
cnf(refute_5_973,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_5_972,refute_5_970]) ).
cnf(refute_5_974,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_5_969,refute_5_973]) ).
cnf(refute_5_975,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_177]) ).
cnf(refute_5_976,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_5_977,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_166,refute_5_976]) ).
cnf(refute_5_978,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_5_977,refute_5_975]) ).
cnf(refute_5_979,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_5_974,refute_5_978]) ).
cnf(refute_5_980,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_5_981,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_979,refute_5_980]) ).
cnf(refute_5_982,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_5_981,refute_5_968]) ).
cnf(refute_5_983,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_982]) ).
cnf(refute_5_984,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_5_985,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_5_983,refute_5_984]) ).
cnf(refute_5_986,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_5_985,refute_5_655]) ).
cnf(refute_5_987,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_5_946,refute_5_986]) ).
cnf(refute_5_988,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_987,refute_5_471]) ).
cnf(refute_5_989,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_988,refute_5_961]) ).
cnf(refute_5_990,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_989,refute_5_880]) ).
cnf(refute_5_991,plain,
( h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_990]) ).
cnf(refute_5_992,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_5_993,plain,
( e22 != e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_5_991,refute_5_992]) ).
cnf(refute_5_994,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_5_993,refute_5_954]) ).
cnf(refute_5_995,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_549,refute_5_994]) ).
cnf(refute_5_996,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_5_995,refute_5_389]) ).
cnf(refute_5_997,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_5_998,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_996,refute_5_997]) ).
cnf(refute_5_999,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_5_178]) ).
cnf(refute_5_1000,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_5_152,refute_5_999]) ).
cnf(refute_5_1001,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_5_176,refute_5_1000]) ).
cnf(refute_5_1002,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_5_979,refute_5_984]) ).
cnf(refute_5_1003,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_5_1002,refute_5_1001]) ).
cnf(refute_5_1004,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_5_388,refute_5_1003]) ).
cnf(refute_5_1005,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_5_995,refute_5_1004]) ).
cnf(refute_5_1006,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_1005,refute_5_980]) ).
cnf(refute_5_1007,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_5_1006,refute_5_998]) ).
cnf(refute_5_1008,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_5_1007,refute_5_0]) ).
cnf(refute_5_1009,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_150,refute_5_1008]) ).
fof(negate_6_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_6_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_6_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_6_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_6_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_6_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_6_4,normalize_6_5]) ).
fof(normalize_6_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_6_3,normalize_6_6,normalize_6_5]) ).
fof(normalize_6_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_6_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_6_7,normalize_6_8]) ).
fof(normalize_6_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_2,normalize_6_9,normalize_6_6,normalize_6_5,normalize_6_8]) ).
fof(normalize_6_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_6_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_6_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_6_11,normalize_6_12]) ).
fof(normalize_6_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_10,normalize_6_13,normalize_6_12]) ).
fof(normalize_6_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_6_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_14,normalize_6_15]) ).
fof(normalize_6_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_6_16]) ).
fof(normalize_6_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_9]) ).
fof(normalize_6_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_6_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_8]) ).
fof(normalize_6_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_6_23]) ).
fof(normalize_6_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_6_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_6_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_6]) ).
fof(normalize_6_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_6_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_5]) ).
fof(normalize_6_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_6_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_13]) ).
fof(normalize_6_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_6_43]) ).
fof(normalize_6_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_12]) ).
fof(normalize_6_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_6_45]) ).
fof(normalize_6_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_50,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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_6_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_6_53]) ).
fof(normalize_6_55,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_50,normalize_6_51,normalize_6_52,normalize_6_54]) ).
fof(normalize_6_56,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_57,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_58,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_59,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_15]) ).
fof(normalize_6_60,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_6_59]) ).
fof(normalize_6_61,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_62,plain,
( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_6_59]) ).
fof(normalize_6_63,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_6_64,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_65,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_66,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_67,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_68,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_69,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_70,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_71,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_72,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_73,plain,
e21 != e22,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_74,plain,
e20 != e21,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_75,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_6_59]) ).
fof(normalize_6_76,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_77,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_78,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_79,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_80,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_81,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_82,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_83,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_84,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_6_85,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_86,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_87,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_88,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_89,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_90,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_91,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_92,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_6_93,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_6_94,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_6_95,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_6_96,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_6_94,normalize_6_95]) ).
fof(normalize_6_97,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_6_93,normalize_6_96,normalize_6_95]) ).
fof(normalize_6_98,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_6_99,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_6_97,normalize_6_98]) ).
fof(normalize_6_100,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_92,normalize_6_99,normalize_6_96,normalize_6_95,normalize_6_98]) ).
fof(normalize_6_101,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_6_102,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_6_103,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_6_101,normalize_6_102]) ).
fof(normalize_6_104,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_100,normalize_6_103,normalize_6_102]) ).
fof(normalize_6_105,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_6_106,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_104,normalize_6_105]) ).
fof(normalize_6_107,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_6_106]) ).
fof(normalize_6_108,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_107]) ).
fof(normalize_6_109,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_99]) ).
fof(normalize_6_110,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_109]) ).
fof(normalize_6_111,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_98]) ).
fof(normalize_6_112,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_111]) ).
fof(normalize_6_113,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_6_114,plain,
e12 != e13,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_115,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_116,plain,
e11 != e13,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_117,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_96]) ).
fof(normalize_6_118,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_117]) ).
fof(normalize_6_119,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_95]) ).
fof(normalize_6_120,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_6_119]) ).
fof(normalize_6_121,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_6_119]) ).
fof(normalize_6_122,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_117]) ).
fof(normalize_6_123,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_103]) ).
fof(normalize_6_124,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_123]) ).
fof(normalize_6_125,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_102]) ).
fof(normalize_6_126,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_6_125]) ).
fof(normalize_6_127,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_128,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_6_129,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_6_130,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_6_131,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_6_129,normalize_6_130]) ).
fof(normalize_6_132,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_128,normalize_6_131,normalize_6_130]) ).
fof(normalize_6_133,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_6_134,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_132,normalize_6_133]) ).
fof(normalize_6_135,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_6_134]) ).
fof(normalize_6_136,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_6_135]) ).
fof(normalize_6_137,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_131]) ).
fof(normalize_6_138,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_6_137]) ).
fof(normalize_6_139,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_140,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_130]) ).
fof(normalize_6_141,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_6_140]) ).
fof(normalize_6_142,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_6_140]) ).
fof(normalize_6_143,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_144,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_145,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_146,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_147,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_148,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_6_140]) ).
fof(normalize_6_149,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_150,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_151,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_152,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_153,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_154,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_155,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_156,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_157,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_158,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_6_140]) ).
fof(normalize_6_159,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_160,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_161,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_162,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_163,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_164,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_165,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_133]) ).
fof(normalize_6_166,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_6_165]) ).
fof(normalize_6_167,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_6_165]) ).
fof(normalize_6_168,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_169,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_170,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_105]) ).
fof(normalize_6_171,plain,
( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_170]) ).
fof(normalize_6_172,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_173,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_174,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_175,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_176,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_170]) ).
fof(normalize_6_177,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_178,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_179,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_180,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_181,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_170]) ).
fof(normalize_6_182,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_170]) ).
fof(normalize_6_183,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_6_184,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_185,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_186,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_187,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_188,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_189,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_190,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_63]) ).
fof(normalize_6_191,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_192,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_193,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_194,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_195,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_196,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_6_135]) ).
fof(normalize_6_197,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_198,plain,
e20 != e22,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_199,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_200,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_6_201,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_6_200]) ).
fof(normalize_6_202,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_6_201,normalize_6_16,normalize_6_13,normalize_6_9,normalize_6_6,normalize_6_5,normalize_6_8,normalize_6_15,normalize_6_12]) ).
fof(normalize_6_203,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_6_202,normalize_6_134,normalize_6_131,normalize_6_133,normalize_6_130]) ).
fof(normalize_6_204,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_6_205,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_6_206,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_6_204,normalize_6_205]) ).
fof(normalize_6_207,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_6_203,normalize_6_206,normalize_6_205]) ).
fof(normalize_6_208,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_6_209,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_6_207,normalize_6_208]) ).
fof(normalize_6_210,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_6_209]) ).
fof(normalize_6_211,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_6_210]) ).
fof(normalize_6_212,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_6_206]) ).
fof(normalize_6_213,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_6_212]) ).
fof(normalize_6_214,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_6_205]) ).
fof(normalize_6_215,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_6_214]) ).
fof(normalize_6_216,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_6_214]) ).
fof(normalize_6_217,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_6_208]) ).
fof(normalize_6_218,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_6_217]) ).
fof(normalize_6_219,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_6_210]) ).
fof(normalize_6_220,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_221,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_6_170]) ).
fof(normalize_6_222,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_223,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_6_224,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_6_225,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_6_226,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_6_224,normalize_6_225]) ).
fof(normalize_6_227,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_223,normalize_6_226,normalize_6_225]) ).
fof(normalize_6_228,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_6_229,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_227,normalize_6_228]) ).
fof(normalize_6_230,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_6_229]) ).
fof(normalize_6_231,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_6_230]) ).
fof(normalize_6_232,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_228]) ).
fof(normalize_6_233,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_6_232]) ).
fof(normalize_6_234,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_6_232]) ).
fof(normalize_6_235,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_236,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_237,plain,
e11 != e12,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_238,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_226]) ).
fof(normalize_6_239,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_6_238]) ).
fof(normalize_6_240,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_241,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_242,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_243,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_225]) ).
fof(normalize_6_244,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_6_243]) ).
fof(normalize_6_245,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_246,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_6_243]) ).
fof(normalize_6_247,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_248,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_249,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_250,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_251,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_6_243]) ).
fof(normalize_6_252,plain,
e10 != e11,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_253,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_254,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_255,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_256,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_6_200]) ).
fof(normalize_6_257,plain,
e20 != e23,
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_258,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_259,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_260,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_261,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_262,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_6_81]) ).
fof(normalize_6_263,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_6_135]) ).
fof(normalize_6_264,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_265,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_266,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_6_135]) ).
fof(normalize_6_267,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_268,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_6_269,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_6_268]) ).
fof(normalize_6_270,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_6_269,normalize_6_106,normalize_6_103,normalize_6_99,normalize_6_96,normalize_6_95,normalize_6_98,normalize_6_105,normalize_6_102]) ).
fof(normalize_6_271,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_6_270,normalize_6_229,normalize_6_226,normalize_6_228,normalize_6_225]) ).
fof(normalize_6_272,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_6_273,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_6_274,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_6_272,normalize_6_273]) ).
fof(normalize_6_275,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_6_271,normalize_6_274,normalize_6_273]) ).
fof(normalize_6_276,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_6_277,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_6_275,normalize_6_276]) ).
fof(normalize_6_278,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_6_277]) ).
fof(normalize_6_279,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_6_278]) ).
fof(normalize_6_280,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_6_274]) ).
fof(normalize_6_281,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_6_280]) ).
fof(normalize_6_282,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_6_273]) ).
fof(normalize_6_283,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_6_282]) ).
fof(normalize_6_284,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_6_282]) ).
fof(normalize_6_285,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_6_276]) ).
fof(normalize_6_286,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_6_285]) ).
fof(normalize_6_287,plain,
e10 != e12,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_288,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_289,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_290,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_6_268]) ).
fof(normalize_6_291,plain,
e10 != e13,
inference(conjunct,[],[normalize_6_113]) ).
fof(normalize_6_292,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_6_278]) ).
fof(normalize_6_293,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_6_278]) ).
fof(normalize_6_294,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_295,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_6_78]) ).
fof(normalize_6_296,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_6_200]) ).
fof(normalize_6_297,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_298,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_299,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_6_230]) ).
fof(normalize_6_300,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_6_183]) ).
fof(normalize_6_301,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_302,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_303,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_304,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_305,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_306,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_307,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_308,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_6_107]) ).
fof(normalize_6_309,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_6_135]) ).
cnf(refute_6_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_1]) ).
cnf(refute_6_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_6_18]) ).
cnf(refute_6_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_22]) ).
cnf(refute_6_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_4,refute_6_5]) ).
cnf(refute_6_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_6_3,refute_6_7]) ).
cnf(refute_6_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_6_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_9]) ).
cnf(refute_6_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_2,refute_6_10]) ).
cnf(refute_6_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_6_24]) ).
cnf(refute_6_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_6_13,refute_6_14]) ).
cnf(refute_6_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_16]) ).
cnf(refute_6_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_6_12,refute_6_17]) ).
cnf(refute_6_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_6_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_20,refute_6_19]) ).
cnf(refute_6_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_18,refute_6_21]) ).
cnf(refute_6_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_6_22,refute_6_11]) ).
cnf(refute_6_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_6_29]) ).
cnf(refute_6_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_6_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_25,refute_6_26]) ).
cnf(refute_6_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_27]) ).
cnf(refute_6_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_6_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_29,refute_6_30]) ).
cnf(refute_6_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_31]) ).
cnf(refute_6_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_6,refute_6_33]) ).
cnf(refute_6_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_32,refute_6_35]) ).
cnf(refute_6_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_6_28,refute_6_36]) ).
cnf(refute_6_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_6_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_6_37,refute_6_38]) ).
cnf(refute_6_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_39]) ).
cnf(refute_6_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_6_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_6_40,refute_6_41]) ).
cnf(refute_6_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_24,refute_6_42]) ).
cnf(refute_6_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_6_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_6_43,refute_6_44]) ).
cnf(refute_6_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_46]) ).
cnf(refute_6_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_23,refute_6_47]) ).
cnf(refute_6_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_6_30]) ).
cnf(refute_6_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_48,refute_6_49]) ).
cnf(refute_6_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_6_32]) ).
cnf(refute_6_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_34]) ).
cnf(refute_6_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_6_52,refute_6_53]) ).
cnf(refute_6_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_6_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_6_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_6_55,refute_6_56]) ).
cnf(refute_6_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_57]) ).
cnf(refute_6_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_6_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_6_58,refute_6_59]) ).
cnf(refute_6_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_6_60,refute_6_51]) ).
cnf(refute_6_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_6_36]) ).
cnf(refute_6_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_38]) ).
cnf(refute_6_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_6_63,refute_6_64]) ).
cnf(refute_6_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_6_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_6_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_6_66,refute_6_67]) ).
cnf(refute_6_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_68]) ).
cnf(refute_6_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_6_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_6_69,refute_6_70]) ).
cnf(refute_6_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_6_71,refute_6_62]) ).
cnf(refute_6_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_6_39]) ).
cnf(refute_6_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_74]) ).
cnf(refute_6_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_73,refute_6_75]) ).
cnf(refute_6_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_6_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_76,refute_6_77]) ).
cnf(refute_6_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_6_78,refute_6_72]) ).
cnf(refute_6_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_6_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_80]) ).
cnf(refute_6_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_81,refute_6_79]) ).
cnf(refute_6_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_76,refute_6_83]) ).
cnf(refute_6_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_84,refute_6_82]) ).
cnf(refute_6_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_6_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_85]) ).
cnf(refute_6_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_6_87,refute_6_61]) ).
cnf(refute_6_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_6_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_6_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_6_90,refute_6_91]) ).
cnf(refute_6_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_92]) ).
cnf(refute_6_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_6_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_94,refute_6_95]) ).
cnf(refute_6_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_96]) ).
cnf(refute_6_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_6_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_6_97,refute_6_98]) ).
cnf(refute_6_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_6_93,refute_6_99]) ).
cnf(refute_6_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_6_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_6_100,refute_6_101]) ).
cnf(refute_6_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_89,refute_6_102]) ).
cnf(refute_6_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_6_41]) ).
cnf(refute_6_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_105]) ).
cnf(refute_6_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_104,refute_6_106]) ).
cnf(refute_6_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_6_87,refute_6_107]) ).
cnf(refute_6_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_108,refute_6_109]) ).
cnf(refute_6_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_110]) ).
cnf(refute_6_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_108,refute_6_112]) ).
cnf(refute_6_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_113]) ).
cnf(refute_6_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_6_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_6_116,refute_6_117]) ).
cnf(refute_6_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_118]) ).
cnf(refute_6_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_6_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_6_119,refute_6_120]) ).
cnf(refute_6_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_6_115,refute_6_121]) ).
cnf(refute_6_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_6_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_6_122,refute_6_123]) ).
cnf(refute_6_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_6_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_6_124,refute_6_125]) ).
cnf(refute_6_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_6_114,refute_6_126]) ).
cnf(refute_6_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_108,refute_6_128]) ).
cnf(refute_6_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_6_122,refute_6_129]) ).
cnf(refute_6_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_6_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_131]) ).
cnf(refute_6_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_6_130,refute_6_132]) ).
cnf(refute_6_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_6_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_6_133,refute_6_134]) ).
cnf(refute_6_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_6_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_6_135,refute_6_136]) ).
cnf(refute_6_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_108,refute_6_137]) ).
cnf(refute_6_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_6_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_6_138,refute_6_139]) ).
cnf(refute_6_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_6_127,refute_6_140]) ).
cnf(refute_6_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_6_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_141,refute_6_142]) ).
cnf(refute_6_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_6_111,refute_6_143]) ).
cnf(refute_6_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_6_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_6_144,refute_6_145]) ).
cnf(refute_6_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_6_146,refute_6_147]) ).
cnf(refute_6_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_6_148,refute_6_88]) ).
cnf(refute_6_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_6_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_149]) ).
cnf(refute_6_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_6_151,refute_6_50]) ).
cnf(refute_6_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_6_152,refute_6_1]) ).
cnf(refute_6_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_6_44]) ).
cnf(refute_6_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_47]) ).
cnf(refute_6_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_6_48]) ).
cnf(refute_6_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_6_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_6_158,refute_6_159]) ).
cnf(refute_6_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_160]) ).
cnf(refute_6_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_6_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_6_161,refute_6_162]) ).
cnf(refute_6_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_6_157,refute_6_163]) ).
cnf(refute_6_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_6_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_6_164,refute_6_165]) ).
cnf(refute_6_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_167]) ).
cnf(refute_6_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_6_168,refute_6_156]) ).
cnf(refute_6_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_155,refute_6_169]) ).
cnf(refute_6_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_6_170,refute_6_154]) ).
cnf(refute_6_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_49]) ).
cnf(refute_6_173,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_6_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_173]) ).
cnf(refute_6_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_6_174,refute_6_172]) ).
cnf(refute_6_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_6_171,refute_6_175]) ).
cnf(refute_6_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_6_176,refute_6_153]) ).
cnf(refute_6_178,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_6_56]) ).
cnf(refute_6_179,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_6_57]) ).
cnf(refute_6_180,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_6_181,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_182,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_180,refute_6_181]) ).
cnf(refute_6_183,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_182]) ).
cnf(refute_6_184,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_6_58]) ).
cnf(refute_6_185,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_6_186,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_185]) ).
cnf(refute_6_187,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_186]) ).
cnf(refute_6_188,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_6_189,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_190,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_188,refute_6_189]) ).
cnf(refute_6_191,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_187,refute_6_190]) ).
cnf(refute_6_192,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_193,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_194,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_192,refute_6_193]) ).
cnf(refute_6_195,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_187,refute_6_194]) ).
cnf(refute_6_196,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_197,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_195,refute_6_196]) ).
cnf(refute_6_198,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_6_191,refute_6_197]) ).
cnf(refute_6_199,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_6_200,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_6_198,refute_6_199]) ).
cnf(refute_6_201,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_200]) ).
cnf(refute_6_202,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_203,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_6_201,refute_6_202]) ).
cnf(refute_6_204,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_184,refute_6_203]) ).
cnf(refute_6_205,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_206,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_207,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_205,refute_6_206]) ).
cnf(refute_6_208,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_207]) ).
cnf(refute_6_209,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_6_210,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_208,refute_6_209]) ).
cnf(refute_6_211,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_6_183,refute_6_210]) ).
cnf(refute_6_212,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_6_213,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_6_211,refute_6_212]) ).
cnf(refute_6_214,plain,
h4(op1(e11,e12)) != op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_213,refute_6_178]) ).
cnf(refute_6_215,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_6_60]) ).
cnf(refute_6_216,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_61]) ).
cnf(refute_6_217,plain,
( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_6_62]) ).
cnf(refute_6_218,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_6_64]) ).
cnf(refute_6_219,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_65]) ).
cnf(refute_6_220,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_221,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_220]) ).
cnf(refute_6_222,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_6_221,refute_6_219]) ).
cnf(refute_6_223,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_218,refute_6_222]) ).
cnf(refute_6_224,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_223,refute_6_169]) ).
cnf(refute_6_225,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_226,plain,
( op2(e20,e22) = e21
| op2(e20,op2(e20,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_224,refute_6_225]) ).
cnf(refute_6_227,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_6_226,refute_6_217]) ).
cnf(refute_6_228,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_229,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_227,refute_6_228]) ).
cnf(refute_6_230,plain,
( e21 != op2(e21,e22)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_6_229,refute_6_216]) ).
cnf(refute_6_231,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_6_66]) ).
cnf(refute_6_232,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_67]) ).
cnf(refute_6_233,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_234,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_233]) ).
cnf(refute_6_235,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_6_234,refute_6_232]) ).
cnf(refute_6_236,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_231,refute_6_235]) ).
cnf(refute_6_237,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_68]) ).
cnf(refute_6_238,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_239,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_238]) ).
cnf(refute_6_240,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_6_239,refute_6_237]) ).
cnf(refute_6_241,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_6_236,refute_6_240]) ).
cnf(refute_6_242,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_243,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_241,refute_6_242]) ).
cnf(refute_6_244,plain,
( e21 != e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_6_243,refute_6_230]) ).
cnf(refute_6_245,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_244]) ).
cnf(refute_6_246,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_6_70]) ).
cnf(refute_6_247,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_246,refute_6_106]) ).
cnf(refute_6_248,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_6_71]) ).
cnf(refute_6_249,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_250,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_251,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_6_249,refute_6_250]) ).
cnf(refute_6_252,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_187,refute_6_251]) ).
cnf(refute_6_253,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_254,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_6_252,refute_6_253]) ).
cnf(refute_6_255,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_6_248,refute_6_254]) ).
cnf(refute_6_256,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_257,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_6_255,refute_6_256]) ).
cnf(refute_6_258,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_6_259,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_258]) ).
cnf(refute_6_260,plain,
( h2(e13) = e21
| h4(e10) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_247,refute_6_259]) ).
cnf(refute_6_261,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_72]) ).
cnf(refute_6_262,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_263,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_262]) ).
cnf(refute_6_264,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_6_263,refute_6_261]) ).
cnf(refute_6_265,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_266,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_265]) ).
cnf(refute_6_267,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_268,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_267]) ).
cnf(refute_6_269,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_6_268,refute_6_266]) ).
cnf(refute_6_270,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_6_269,refute_6_264]) ).
cnf(refute_6_271,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_6_260,refute_6_270]) ).
cnf(refute_6_272,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_273,plain,
( op2(e21,e22) != e22
| e21 = e22
| h2(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_271,refute_6_272]) ).
cnf(refute_6_274,plain,
( e21 = e22
| h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_245,refute_6_273]) ).
cnf(refute_6_275,plain,
e21 != e22,
inference(canonicalize,[],[normalize_6_73]) ).
cnf(refute_6_276,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_274,refute_6_275]) ).
cnf(refute_6_277,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_6_278,plain,
( op2(e21,e20) != e20
| e21 = e20
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_276,refute_6_277]) ).
cnf(refute_6_279,plain,
( e21 = e20
| h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_6_215,refute_6_278]) ).
cnf(refute_6_280,plain,
e20 != e21,
inference(canonicalize,[],[normalize_6_74]) ).
cnf(refute_6_281,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_282,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_281,refute_6_280]) ).
cnf(refute_6_283,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_279,refute_6_282]) ).
cnf(refute_6_284,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_285,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_283,refute_6_284]) ).
cnf(refute_6_286,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_6_285,refute_6_214]) ).
cnf(refute_6_287,plain,
( h4(op1(e11,e12)) != h4(e10)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_6_288,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_287]) ).
cnf(refute_6_289,plain,
( h4(op1(e11,e12)) != h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_6_288,refute_6_286]) ).
cnf(refute_6_290,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_6_75]) ).
cnf(refute_6_291,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_6_76]) ).
cnf(refute_6_292,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_291,refute_6_10]) ).
cnf(refute_6_293,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_77]) ).
cnf(refute_6_294,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_295,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_294]) ).
cnf(refute_6_296,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_6_295,refute_6_293]) ).
cnf(refute_6_297,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_6_298,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_6_297,refute_6_296]) ).
cnf(refute_6_299,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_292,refute_6_298]) ).
cnf(refute_6_300,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_299,refute_6_47]) ).
cnf(refute_6_301,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_6_302,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_301]) ).
cnf(refute_6_303,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_300,refute_6_302]) ).
cnf(refute_6_304,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_303,refute_6_49]) ).
cnf(refute_6_305,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_306,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_304,refute_6_305]) ).
cnf(refute_6_307,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_6_306,refute_6_290]) ).
cnf(refute_6_308,plain,
( h4(e10) != e23
| h4(op1(e11,e12)) != e23
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_6_309,plain,
( h4(op1(e11,e12)) != e23
| h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_307,refute_6_308]) ).
cnf(refute_6_310,plain,
( h4(op1(e11,e12)) != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_6_309,refute_6_289]) ).
cnf(refute_6_311,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_79]) ).
cnf(refute_6_312,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_6_80]) ).
cnf(refute_6_313,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_314,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_315,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_313,refute_6_314]) ).
cnf(refute_6_316,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_315]) ).
cnf(refute_6_317,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_318,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_6_316,refute_6_317]) ).
cnf(refute_6_319,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_312,refute_6_318]) ).
cnf(refute_6_320,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_321,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_307,refute_6_320]) ).
cnf(refute_6_322,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_321]) ).
cnf(refute_6_323,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_324,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_187,refute_6_323]) ).
cnf(refute_6_325,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_6_322,refute_6_324]) ).
cnf(refute_6_326,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_6_82]) ).
cnf(refute_6_327,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_83]) ).
cnf(refute_6_328,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_6_85]) ).
cnf(refute_6_329,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_6_330,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_6_328,refute_6_329]) ).
cnf(refute_6_331,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_332,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_331]) ).
cnf(refute_6_333,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_332,refute_6_327]) ).
cnf(refute_6_334,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_326,refute_6_333]) ).
cnf(refute_6_335,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_86]) ).
cnf(refute_6_336,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_6_87]) ).
cnf(refute_6_337,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_6_338,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_339,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_6_337,refute_6_338]) ).
cnf(refute_6_340,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_339]) ).
cnf(refute_6_341,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_6_342,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_6_340,refute_6_341]) ).
cnf(refute_6_343,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_6_336,refute_6_342]) ).
cnf(refute_6_344,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_6_345,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_6_343,refute_6_344]) ).
cnf(refute_6_346,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_347,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_345,refute_6_346]) ).
cnf(refute_6_348,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_6_347,refute_6_335]) ).
cnf(refute_6_349,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_334,refute_6_348]) ).
cnf(refute_6_350,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_351,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_349,refute_6_350]) ).
cnf(refute_6_352,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_6_325,refute_6_351]) ).
cnf(refute_6_353,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_6_354,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_353]) ).
cnf(refute_6_355,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_6_352,refute_6_354]) ).
cnf(refute_6_356,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_357,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_356,refute_6_49]) ).
cnf(refute_6_358,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_355,refute_6_357]) ).
cnf(refute_6_359,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_360,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_358,refute_6_359]) ).
cnf(refute_6_361,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_360,refute_6_311]) ).
cnf(refute_6_362,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_6_88]) ).
cnf(refute_6_363,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_89]) ).
cnf(refute_6_364,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_365,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_364]) ).
cnf(refute_6_366,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_365,refute_6_363]) ).
cnf(refute_6_367,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_362,refute_6_366]) ).
cnf(refute_6_368,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_90]) ).
cnf(refute_6_369,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_370,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_345,refute_6_369]) ).
cnf(refute_6_371,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_6_370,refute_6_368]) ).
cnf(refute_6_372,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_367,refute_6_371]) ).
cnf(refute_6_373,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_374,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_372,refute_6_373]) ).
cnf(refute_6_375,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_374,refute_6_361]) ).
cnf(refute_6_376,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_6_377,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_375]) ).
cnf(refute_6_378,plain,
( h4(e12) != e23
| op1(e11,e12) != e12
| h4(op1(e11,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_379,plain,
( h4(e12) != e23
| h4(op1(e11,e12)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_377,refute_6_378]) ).
cnf(refute_6_380,plain,
( h4(e12) != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_6_379,refute_6_310]) ).
cnf(refute_6_381,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_382,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_381]) ).
cnf(refute_6_383,plain,
( e23 != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_382,refute_6_380]) ).
cnf(refute_6_384,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_6_385,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_383]) ).
cnf(refute_6_386,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_6_385,refute_6_177]) ).
cnf(refute_6_387,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_91]) ).
cnf(refute_6_388,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_108]) ).
cnf(refute_6_389,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_110]) ).
cnf(refute_6_390,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_112]) ).
cnf(refute_6_391,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_6_392,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_391]) ).
cnf(refute_6_393,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_6_390,refute_6_392]) ).
cnf(refute_6_394,plain,
e12 != e13,
inference(canonicalize,[],[normalize_6_114]) ).
cnf(refute_6_395,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_6_396,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_395,refute_6_394]) ).
cnf(refute_6_397,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_6_393,refute_6_396]) ).
cnf(refute_6_398,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_397,refute_6_389]) ).
cnf(refute_6_399,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_6_115]) ).
cnf(refute_6_400,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_6_401,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_402,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_400,refute_6_401]) ).
cnf(refute_6_403,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_402]) ).
cnf(refute_6_404,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_6_405,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_406,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_404,refute_6_405]) ).
cnf(refute_6_407,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_406]) ).
cnf(refute_6_408,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_409,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_407,refute_6_408]) ).
cnf(refute_6_410,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_6_403,refute_6_409]) ).
cnf(refute_6_411,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_6_412,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_6_410,refute_6_411]) ).
cnf(refute_6_413,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_399,refute_6_412]) ).
cnf(refute_6_414,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_415,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_413,refute_6_414]) ).
cnf(refute_6_416,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_417,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_416]) ).
cnf(refute_6_418,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_398,refute_6_417]) ).
cnf(refute_6_419,plain,
e11 != e13,
inference(canonicalize,[],[normalize_6_116]) ).
cnf(refute_6_420,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_418,refute_6_419]) ).
cnf(refute_6_421,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_118]) ).
cnf(refute_6_422,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_6_120]) ).
cnf(refute_6_423,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_6_121]) ).
cnf(refute_6_424,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_425,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_423,refute_6_424]) ).
cnf(refute_6_426,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_6_425,refute_6_422]) ).
cnf(refute_6_427,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_426,refute_6_421]) ).
cnf(refute_6_428,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_122]) ).
cnf(refute_6_429,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_426,refute_6_428]) ).
cnf(refute_6_430,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_431,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_429,refute_6_430]) ).
cnf(refute_6_432,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_6_431,refute_6_427]) ).
cnf(refute_6_433,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_432,refute_6_420]) ).
cnf(refute_6_434,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_433,refute_6_388]) ).
cnf(refute_6_435,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_124]) ).
cnf(refute_6_436,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_6_126]) ).
cnf(refute_6_437,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_436,refute_6_348]) ).
cnf(refute_6_438,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_6_437,refute_6_435]) ).
cnf(refute_6_439,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_127]) ).
cnf(refute_6_440,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_6_441,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_345,refute_6_440]) ).
cnf(refute_6_442,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_6_441,refute_6_439]) ).
cnf(refute_6_443,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_6_438,refute_6_442]) ).
cnf(refute_6_444,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_443,refute_6_434]) ).
cnf(refute_6_445,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e11,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_446,plain,
( op1(e11,e12) = e11
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_372,refute_6_445]) ).
cnf(refute_6_447,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_6_446,refute_6_444]) ).
cnf(refute_6_448,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_6_136]) ).
cnf(refute_6_449,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_6_60,refute_6_448]) ).
cnf(refute_6_450,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_6_138]) ).
cnf(refute_6_451,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_450,refute_6_259]) ).
cnf(refute_6_452,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_6_451,refute_6_270]) ).
cnf(refute_6_453,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_139]) ).
cnf(refute_6_454,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_6_141]) ).
cnf(refute_6_455,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_6_456,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_454,refute_6_455]) ).
cnf(refute_6_457,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_6_456,refute_6_216]) ).
cnf(refute_6_458,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_459,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_224,refute_6_458]) ).
cnf(refute_6_460,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_459,refute_6_457]) ).
cnf(refute_6_461,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_6_462,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_460]) ).
cnf(refute_6_463,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_464,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_462,refute_6_463]) ).
cnf(refute_6_465,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_6_464,refute_6_453]) ).
cnf(refute_6_466,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_6_142]) ).
cnf(refute_6_467,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_6_143]) ).
cnf(refute_6_468,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_467,refute_6_106]) ).
cnf(refute_6_469,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_144]) ).
cnf(refute_6_470,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_471,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_470]) ).
cnf(refute_6_472,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_6_471,refute_6_469]) ).
cnf(refute_6_473,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_474,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_473]) ).
cnf(refute_6_475,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_6_474,refute_6_472]) ).
cnf(refute_6_476,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_6_468,refute_6_475]) ).
cnf(refute_6_477,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_478,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_476,refute_6_477]) ).
cnf(refute_6_479,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_6_478,refute_6_466]) ).
cnf(refute_6_480,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_481,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_479,refute_6_480]) ).
cnf(refute_6_482,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_481,refute_6_465]) ).
cnf(refute_6_483,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_482]) ).
cnf(refute_6_484,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_483,refute_6_284]) ).
cnf(refute_6_485,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_6_484,refute_6_214]) ).
cnf(refute_6_486,plain,
( h4(op1(e11,e12)) != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_6_288,refute_6_485]) ).
cnf(refute_6_487,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_145]) ).
cnf(refute_6_488,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_489,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_488]) ).
cnf(refute_6_490,plain,
h1(e13) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_489,refute_6_487]) ).
cnf(refute_6_491,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_6_146]) ).
cnf(refute_6_492,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_6_493,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_492]) ).
cnf(refute_6_494,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_6_493,refute_6_491]) ).
cnf(refute_6_495,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_147]) ).
cnf(refute_6_496,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_6_148]) ).
cnf(refute_6_497,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_6_149]) ).
cnf(refute_6_498,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_497,refute_6_298]) ).
cnf(refute_6_499,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_150]) ).
cnf(refute_6_500,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_501,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_500]) ).
cnf(refute_6_502,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_6_501,refute_6_499]) ).
cnf(refute_6_503,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_504,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_503]) ).
cnf(refute_6_505,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_6_504,refute_6_502]) ).
cnf(refute_6_506,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_498,refute_6_505]) ).
cnf(refute_6_507,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_508,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_506,refute_6_507]) ).
cnf(refute_6_509,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_6_508,refute_6_496]) ).
cnf(refute_6_510,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_511,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_510]) ).
cnf(refute_6_512,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_511,refute_6_509]) ).
cnf(refute_6_513,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_512]) ).
cnf(refute_6_514,plain,
( op2(e22,e21) != e20
| op2(e22,e23) != e20
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_515,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_513,refute_6_514]) ).
cnf(refute_6_516,plain,
( op2(e22,e21) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_6_515,refute_6_495]) ).
cnf(refute_6_517,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(canonicalize,[],[normalize_6_151]) ).
cnf(refute_6_518,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_519,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_518]) ).
cnf(refute_6_520,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_517,refute_6_519]) ).
cnf(refute_6_521,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_152]) ).
cnf(refute_6_522,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_523,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_522]) ).
cnf(refute_6_524,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_6_523,refute_6_521]) ).
cnf(refute_6_525,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_520,refute_6_524]) ).
cnf(refute_6_526,plain,
( e20 != e20
| op2(e22,e21) != e20
| op2(e22,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_527,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_6_525,refute_6_526]) ).
cnf(refute_6_528,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_6_527,refute_6_516]) ).
cnf(refute_6_529,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_528]) ).
cnf(refute_6_530,plain,
( h1(e13) != e20
| op2(e20,e21) != e20
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_6_531,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e21)
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_6_529,refute_6_530]) ).
cnf(refute_6_532,plain,
( h1(e13) != e20
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_6_531,refute_6_494]) ).
cnf(refute_6_533,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_153]) ).
cnf(refute_6_534,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_6_535,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_534]) ).
cnf(refute_6_536,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_6_535,refute_6_533]) ).
cnf(refute_6_537,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_154]) ).
cnf(refute_6_538,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_6_155]) ).
cnf(refute_6_539,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_6_538,refute_6_175]) ).
cnf(refute_6_540,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_156]) ).
cnf(refute_6_541,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_542,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_541]) ).
cnf(refute_6_543,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_6_542,refute_6_540]) ).
cnf(refute_6_544,plain,
( h4(e13) != e21
| op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_545,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_544]) ).
cnf(refute_6_546,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_6_545,refute_6_543]) ).
cnf(refute_6_547,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_6_539,refute_6_546]) ).
cnf(refute_6_548,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_549,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = e22
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_547,refute_6_548]) ).
cnf(refute_6_550,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_6_549,refute_6_537]) ).
cnf(refute_6_551,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_157]) ).
cnf(refute_6_552,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_6_158]) ).
cnf(refute_6_553,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_554,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_6_552,refute_6_553]) ).
cnf(refute_6_555,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_6_554,refute_6_551]) ).
cnf(refute_6_556,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_6_159]) ).
cnf(refute_6_557,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_556,refute_6_524]) ).
cnf(refute_6_558,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_6_557,refute_6_475]) ).
cnf(refute_6_559,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_6_560,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_6_558,refute_6_559]) ).
cnf(refute_6_561,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_6_560,refute_6_555]) ).
cnf(refute_6_562,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_561]) ).
cnf(refute_6_563,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_564,plain,
( e23 != e23
| e23 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_562,refute_6_563]) ).
cnf(refute_6_565,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_6_564,refute_6_550]) ).
cnf(refute_6_566,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_565]) ).
cnf(refute_6_567,plain,
( h1(e13) != e22
| op2(e23,e20) != e22
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_6_568,plain,
( h1(e13) != e22
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_566,refute_6_567]) ).
cnf(refute_6_569,plain,
( h1(e13) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_6_568,refute_6_536]) ).
cnf(refute_6_570,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_160]) ).
cnf(refute_6_571,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_572,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_571]) ).
cnf(refute_6_573,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_6_572,refute_6_570]) ).
cnf(refute_6_574,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_575,plain,
( h1(e13) != e21
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_462,refute_6_574]) ).
cnf(refute_6_576,plain,
( h1(e13) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_6_575,refute_6_573]) ).
cnf(refute_6_577,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_6_161]) ).
cnf(refute_6_578,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_577,refute_6_75]) ).
cnf(refute_6_579,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_580,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_579]) ).
cnf(refute_6_581,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_578,refute_6_580]) ).
cnf(refute_6_582,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_583,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_582]) ).
cnf(refute_6_584,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_581,refute_6_583]) ).
cnf(refute_6_585,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_586,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_585]) ).
cnf(refute_6_587,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_584,refute_6_586]) ).
cnf(refute_6_588,plain,
( e21 != e21
| h1(e13) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_589,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_587,refute_6_588]) ).
cnf(refute_6_590,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_589,refute_6_576]) ).
cnf(refute_6_591,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_590]) ).
cnf(refute_6_592,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_593,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_591,refute_6_592]) ).
cnf(refute_6_594,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_593,refute_6_569]) ).
cnf(refute_6_595,plain,
( h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_594]) ).
cnf(refute_6_596,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_595,refute_6_83]) ).
cnf(refute_6_597,plain,
( e20 != e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_596,refute_6_532]) ).
cnf(refute_6_598,plain,
( h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_597]) ).
cnf(refute_6_599,plain,
( h2(e13) != e20
| h2(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_600,plain,
( h2(e13) != e21
| e20 = e21
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_598,refute_6_599]) ).
cnf(refute_6_601,plain,
( e20 = e21
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_483,refute_6_600]) ).
cnf(refute_6_602,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_601,refute_6_280]) ).
cnf(refute_6_603,plain,
( e23 != op2(e20,e23)
| h1(e13) != e23
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_604,plain,
( e23 != op2(e20,e23)
| h1(e13) = op2(e20,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_602,refute_6_603]) ).
cnf(refute_6_605,plain,
( e23 != op2(e20,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_6_604,refute_6_490]) ).
cnf(refute_6_606,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_162]) ).
cnf(refute_6_607,plain,
( op2(e20,e23) != e20
| op2(e22,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_608,plain,
( op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_513,refute_6_607]) ).
cnf(refute_6_609,plain,
( op2(e20,e23) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_6_608,refute_6_606]) ).
cnf(refute_6_610,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_6_163]) ).
cnf(refute_6_611,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_164]) ).
cnf(refute_6_612,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_613,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_612]) ).
cnf(refute_6_614,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_613,refute_6_611]) ).
cnf(refute_6_615,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_616,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_615]) ).
cnf(refute_6_617,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_6_616,refute_6_614]) ).
cnf(refute_6_618,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_610,refute_6_617]) ).
cnf(refute_6_619,plain,
( e20 != e20
| op2(e20,e23) != e20
| op2(e20,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_6_620,plain,
( e20 != e20
| op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_618,refute_6_619]) ).
cnf(refute_6_621,plain,
( e20 != e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_620,refute_6_609]) ).
cnf(refute_6_622,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_621]) ).
cnf(refute_6_623,plain,
( e23 != e23
| op2(e20,e23) != e23
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_624,plain,
( e23 != e23
| e23 = op2(e20,e23)
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_622,refute_6_623]) ).
cnf(refute_6_625,plain,
( e23 != e23
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_6_624,refute_6_605]) ).
cnf(refute_6_626,plain,
( op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_625]) ).
cnf(refute_6_627,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_628,plain,
( op2(e20,e23) != e22
| e23 = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_304,refute_6_627]) ).
cnf(refute_6_629,plain,
( e23 = e22
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_626,refute_6_628]) ).
cnf(refute_6_630,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_629,refute_6_21]) ).
cnf(refute_6_631,plain,
( h4(op1(e11,e12)) != e23
| h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_630,refute_6_308]) ).
cnf(refute_6_632,plain,
( h4(op1(e11,e12)) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_6_631,refute_6_486]) ).
cnf(refute_6_633,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_630,refute_6_320]) ).
cnf(refute_6_634,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_633]) ).
cnf(refute_6_635,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_6_634,refute_6_324]) ).
cnf(refute_6_636,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_6_635,refute_6_351]) ).
cnf(refute_6_637,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_6_636,refute_6_354]) ).
cnf(refute_6_638,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_637,refute_6_357]) ).
cnf(refute_6_639,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_638,refute_6_359]) ).
cnf(refute_6_640,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_639,refute_6_311]) ).
cnf(refute_6_641,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_374,refute_6_640]) ).
cnf(refute_6_642,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_641]) ).
cnf(refute_6_643,plain,
( h4(e12) != e23
| h4(op1(e11,e12)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_642,refute_6_378]) ).
cnf(refute_6_644,plain,
( h4(e12) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_6_643,refute_6_632]) ).
cnf(refute_6_645,plain,
( e23 != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_382,refute_6_644]) ).
cnf(refute_6_646,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_645]) ).
cnf(refute_6_647,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_6_646,refute_6_452]) ).
cnf(refute_6_648,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_6_647,refute_6_449]) ).
cnf(refute_6_649,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_6_166]) ).
cnf(refute_6_650,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_6_167]) ).
cnf(refute_6_651,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_6_168]) ).
cnf(refute_6_652,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_6_653,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_652]) ).
cnf(refute_6_654,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_651,refute_6_653]) ).
cnf(refute_6_655,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_654,refute_6_357]) ).
cnf(refute_6_656,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_655,refute_6_505]) ).
cnf(refute_6_657,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_656,refute_6_477]) ).
cnf(refute_6_658,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_6_657,refute_6_650]) ).
cnf(refute_6_659,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_660,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_6_658,refute_6_659]) ).
cnf(refute_6_661,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_6_649,refute_6_660]) ).
cnf(refute_6_662,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_661,refute_6_275]) ).
cnf(refute_6_663,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_6_662,refute_6_648]) ).
cnf(refute_6_664,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_6_169]) ).
cnf(refute_6_665,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_664,refute_6_519]) ).
cnf(refute_6_666,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_665,refute_6_106]) ).
cnf(refute_6_667,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_668,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_667]) ).
cnf(refute_6_669,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_666,refute_6_668]) ).
cnf(refute_6_670,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_671,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_670]) ).
cnf(refute_6_672,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_669,refute_6_671]) ).
cnf(refute_6_673,plain,
( h2(e13) != e21
| op2(e21,e21) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,h2(e13)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_674,plain,
( op2(e21,e21) != e21
| h2(e13) = e20
| h2(e13) = e22
| h2(e13) = e23
| op2(e21,h2(e13)) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_672,refute_6_673]) ).
cnf(refute_6_675,plain,
( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_23
| h2(e13) = e20
| h2(e13) = e22
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_6_674,refute_6_663]) ).
cnf(refute_6_676,plain,
( h2(e13) != e21
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_677,plain,
( h2(e13) != e21
| op2(e21,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_676]) ).
cnf(refute_6_678,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| h2(e13) = e20
| h2(e13) = e22
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_677,refute_6_675]) ).
cnf(refute_6_679,plain,
( h2(e13) != e20
| h2(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_6_680,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| e21 = e20
| h2(e13) = e22
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_678,refute_6_679]) ).
cnf(refute_6_681,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_682,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| e21 = e20
| e21 = e22
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_680,refute_6_681]) ).
cnf(refute_6_683,plain,
( h2(e13) != e21
| h2(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_684,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| e21 = e20
| e21 = e22
| e21 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_682,refute_6_683]) ).
cnf(refute_6_685,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| e21 = e22
| e21 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_684,refute_6_282]) ).
cnf(refute_6_686,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| e21 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_685,refute_6_275]) ).
cnf(refute_6_687,plain,
( h2(e13) != e21
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_686,refute_6_49]) ).
cnf(refute_6_688,plain,
( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_171]) ).
cnf(refute_6_689,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_6_172]) ).
cnf(refute_6_690,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| op2(h2(e13),h2(e13)) = h2(e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_6_691,plain,
op2(h2(e13),h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_690]) ).
cnf(refute_6_692,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).
cnf(refute_6_693,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_6_694,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_6_692,refute_6_693]) ).
cnf(refute_6_695,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_694]) ).
cnf(refute_6_696,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_697,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_698,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_6_696,refute_6_697]) ).
cnf(refute_6_699,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_698]) ).
cnf(refute_6_700,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_6_701,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_6_699,refute_6_700]) ).
cnf(refute_6_702,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_6_695,refute_6_701]) ).
cnf(refute_6_703,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_6_704,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_6_702,refute_6_703]) ).
cnf(refute_6_705,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_6_691,refute_6_704]) ).
cnf(refute_6_706,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_707,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_6_705,refute_6_706]) ).
cnf(refute_6_708,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_6_689,refute_6_707]) ).
cnf(refute_6_709,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_6_173]) ).
cnf(refute_6_710,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_6_174]) ).
cnf(refute_6_711,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_6_175]) ).
cnf(refute_6_712,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_176]) ).
cnf(refute_6_713,plain,
( e10 != op1(e12,e10)
| op1(e11,e10) != e10
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_6_714,plain,
( e10 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_6_712,refute_6_713]) ).
cnf(refute_6_715,plain,
( e10 != op1(e12,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_6_714,refute_6_711]) ).
cnf(refute_6_716,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_6_177]) ).
cnf(refute_6_717,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_178]) ).
cnf(refute_6_718,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_719,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_718]) ).
cnf(refute_6_720,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_6_719,refute_6_717]) ).
cnf(refute_6_721,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_6_716,refute_6_720]) ).
cnf(refute_6_722,plain,
( e10 != e10
| op1(e12,e10) != e10
| e10 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_6_723,plain,
( e10 != e10
| e10 = op1(e12,e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_6_721,refute_6_722]) ).
cnf(refute_6_724,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e10)) )],[refute_6_723,refute_6_715]) ).
cnf(refute_6_725,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_6_726,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_724]) ).
cnf(refute_6_727,plain,
( e12 != op1(e13,e10)
| op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_6_728,plain,
( e12 != op1(e13,e10)
| op1(e12,e10) = e11
| op1(e12,e10) = op1(e13,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_6_726,refute_6_727]) ).
cnf(refute_6_729,plain,
( e12 != op1(e13,e10)
| op1(e12,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_6_728,refute_6_710]) ).
cnf(refute_6_730,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_6_179]) ).
cnf(refute_6_731,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_6_180]) ).
cnf(refute_6_732,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_733,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_6_734,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_6_732,refute_6_733]) ).
cnf(refute_6_735,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_734]) ).
cnf(refute_6_736,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_737,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_6_735,refute_6_736]) ).
cnf(refute_6_738,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_6_731,refute_6_737]) ).
cnf(refute_6_739,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_181]) ).
cnf(refute_6_740,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| op1(e10,e11) != e10
| h4(e10) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_741,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_739,refute_6_740]) ).
cnf(refute_6_742,plain,
( h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_6_738,refute_6_741]) ).
cnf(refute_6_743,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| op2(h4(e10),h2(e13)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(op2(h4(e10),h2(e13))))]]) ).
cnf(refute_6_744,plain,
op2(h4(e10),h2(e13)) = h4(op1(e10,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_6_738,refute_6_743]) ).
cnf(refute_6_745,plain,
( h4(e10) != op2(h4(e10),h2(e13))
| op2(h4(e10),h2(e13)) != h4(op1(e10,e11))
| h4(e10) = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(op1(e10,e11))) ),[0],$fot(op2(h4(e10),h2(e13)))]]) ).
cnf(refute_6_746,plain,
( h4(e10) != op2(h4(e10),h2(e13))
| h4(e10) = h4(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h2(e13)),h4(op1(e10,e11))) )],[refute_6_744,refute_6_745]) ).
cnf(refute_6_747,plain,
( h4(e10) = h4(op1(e10,e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),h2(e13))) )],[refute_6_742,refute_6_746]) ).
cnf(refute_6_748,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_182]) ).
cnf(refute_6_749,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_6_184]) ).
cnf(refute_6_750,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_749,refute_6_333]) ).
cnf(refute_6_751,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e10,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_752,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_750,refute_6_751]) ).
cnf(refute_6_753,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_6_752,refute_6_748]) ).
cnf(refute_6_754,plain,
( h4(e10) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_755,plain,
( h4(e10) != h4(op1(e10,e11))
| h4(e10) = h4(e13)
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_753,refute_6_754]) ).
cnf(refute_6_756,plain,
( h4(e10) = h4(e13)
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) )],[refute_6_747,refute_6_755]) ).
cnf(refute_6_757,plain,
( h4(e10) != h4(e13)
| h4(e13) != e21
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e21) ),[0],$fot(h4(e13))]]) ).
cnf(refute_6_758,plain,
( h4(e10) != h4(e13)
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_757]) ).
cnf(refute_6_759,plain,
( h4(e10) = e21
| op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_6_756,refute_6_758]) ).
cnf(refute_6_760,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_6_759,refute_6_270]) ).
cnf(refute_6_761,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_6_762,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_760,refute_6_761]) ).
cnf(refute_6_763,plain,
( e13 != op1(e13,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_6_762,refute_6_730]) ).
cnf(refute_6_764,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_6_185]) ).
cnf(refute_6_765,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_6_764,refute_6_442]) ).
cnf(refute_6_766,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_186]) ).
cnf(refute_6_767,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_768,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_767]) ).
cnf(refute_6_769,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_6_768,refute_6_766]) ).
cnf(refute_6_770,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_6_765,refute_6_769]) ).
cnf(refute_6_771,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_6_772,plain,
( e13 != e13
| e13 = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_6_770,refute_6_771]) ).
cnf(refute_6_773,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_6_772,refute_6_763]) ).
cnf(refute_6_774,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_6_775,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_773]) ).
cnf(refute_6_776,plain,
( e12 != e12
| op1(e13,e10) != e12
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_6_777,plain,
( e12 != e12
| e12 = op1(e13,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_6_775,refute_6_776]) ).
cnf(refute_6_778,plain,
( e12 != e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_6_777,refute_6_729]) ).
cnf(refute_6_779,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_6_780,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_779,refute_6_778]) ).
cnf(refute_6_781,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_6_782,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) = op1(e12,e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_6_780,refute_6_781]) ).
cnf(refute_6_783,plain,
( e11 != op1(e12,e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_6_782,refute_6_709]) ).
cnf(refute_6_784,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_6_187]) ).
cnf(refute_6_785,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_188]) ).
cnf(refute_6_786,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_787,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_786]) ).
cnf(refute_6_788,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_6_787,refute_6_785]) ).
cnf(refute_6_789,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_6_784,refute_6_788]) ).
cnf(refute_6_790,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_6_791,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e10,e11) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_789,refute_6_790]) ).
cnf(refute_6_792,plain,
( e11 != e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_6_791,refute_6_783]) ).
cnf(refute_6_793,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_792]) ).
cnf(refute_6_794,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e11
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_795,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_793,refute_6_794]) ).
cnf(refute_6_796,plain,
( h4(e11) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_708,refute_6_795]) ).
cnf(refute_6_797,plain,
( h4(e11) != h2(e11)
| h4(e11) != h2(e13)
| h2(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_798,plain,
( h4(e11) != h2(e11)
| h2(e13) = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_797]) ).
cnf(refute_6_799,plain,
( h2(e13) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_6_796,refute_6_798]) ).
cnf(refute_6_800,plain,
( op1(e10,e11) != e11
| op1(e10,op1(e10,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_801,plain,
( h2(e13) = h2(e11)
| op1(e10,op1(e10,e11)) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_799,refute_6_800]) ).
cnf(refute_6_802,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e11)),e11) )],[refute_6_801,refute_6_688]) ).
cnf(refute_6_803,plain,
( h2(e11) != e21
| h2(e13) != h2(e11)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_804,plain,
( h2(e11) != e21
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_6_802,refute_6_803]) ).
cnf(refute_6_805,plain,
( h2(e11) != e21
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_804,refute_6_687]) ).
cnf(refute_6_806,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_189]) ).
cnf(refute_6_807,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_808,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_807]) ).
cnf(refute_6_809,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_6_808,refute_6_806]) ).
cnf(refute_6_810,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_6_811,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_810]) ).
cnf(refute_6_812,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_6_811,refute_6_809]) ).
cnf(refute_6_813,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_190]) ).
cnf(refute_6_814,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_6_815,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_814]) ).
cnf(refute_6_816,plain,
( h4(e10) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_813,refute_6_815]) ).
cnf(refute_6_817,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_816,refute_6_259]) ).
cnf(refute_6_818,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_6_819,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_818]) ).
cnf(refute_6_820,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_817,refute_6_819]) ).
cnf(refute_6_821,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_820,refute_6_302]) ).
cnf(refute_6_822,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_6_821,refute_6_270]) ).
cnf(refute_6_823,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_822,refute_6_320]) ).
cnf(refute_6_824,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_823]) ).
cnf(refute_6_825,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_6_824,refute_6_324]) ).
cnf(refute_6_826,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_827,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_349,refute_6_826]) ).
cnf(refute_6_828,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_827]) ).
cnf(refute_6_829,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_6_830,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_829]) ).
cnf(refute_6_831,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_6_832,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_831]) ).
cnf(refute_6_833,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_6_834,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_6_832,refute_6_833]) ).
cnf(refute_6_835,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_6_830,refute_6_834]) ).
cnf(refute_6_836,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_6_828,refute_6_835]) ).
cnf(refute_6_837,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_6_838,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_6_825,refute_6_837]) ).
cnf(refute_6_839,plain,
( e23 = e21
| h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_6_836,refute_6_838]) ).
cnf(refute_6_840,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_839,refute_6_357]) ).
cnf(refute_6_841,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_842,plain,
( h4(op1(e10,e12)) != e21
| h4(e10) = e20
| h4(e10) = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_840,refute_6_841]) ).
cnf(refute_6_843,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_6_825,refute_6_842]) ).
cnf(refute_6_844,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_845,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_844]) ).
cnf(refute_6_846,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_843,refute_6_845]) ).
cnf(refute_6_847,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_6_191]) ).
cnf(refute_6_848,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_6_849,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_850,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_6_848,refute_6_849]) ).
cnf(refute_6_851,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_850]) ).
cnf(refute_6_852,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_6_853,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_6_851,refute_6_852]) ).
cnf(refute_6_854,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_6_847,refute_6_853]) ).
cnf(refute_6_855,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_192]) ).
cnf(refute_6_856,plain,
( e10 != op1(e10,e13)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_6_857,plain,
( e10 != op1(e10,e13)
| op1(e10,e11) = op1(e10,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_739,refute_6_856]) ).
cnf(refute_6_858,plain,
( e10 != op1(e10,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_6_857,refute_6_855]) ).
cnf(refute_6_859,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_6_193]) ).
cnf(refute_6_860,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_194]) ).
cnf(refute_6_861,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_862,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_861]) ).
cnf(refute_6_863,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_6_862,refute_6_860]) ).
cnf(refute_6_864,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_859,refute_6_863]) ).
cnf(refute_6_865,plain,
( e10 != e10
| op1(e10,e13) != e10
| e10 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_866,plain,
( e10 != e10
| e10 = op1(e10,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_864,refute_6_865]) ).
cnf(refute_6_867,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e13)) )],[refute_6_866,refute_6_858]) ).
cnf(refute_6_868,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_867]) ).
cnf(refute_6_869,plain,
( op1(e10,e13) = e12
| op1(e10,op1(e10,e13)) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_868,refute_6_751]) ).
cnf(refute_6_870,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_6_869,refute_6_748]) ).
cnf(refute_6_871,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e12
| h4(e12) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_872,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_870,refute_6_871]) ).
cnf(refute_6_873,plain,
( h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_872]) ).
cnf(refute_6_874,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e21)
| e23 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e21)) ),[0],$fot(e23)]]) ).
cnf(refute_6_875,plain,
( h4(e12) != op2(h4(e10),e21)
| e23 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_874]) ).
cnf(refute_6_876,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_6_877,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_876]) ).
cnf(refute_6_878,plain,
( e23 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e23 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_6_879,plain,
( e23 != op2(h4(e10),e21)
| e23 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_6_877,refute_6_878]) ).
cnf(refute_6_880,plain,
( h4(e12) != op2(h4(e10),e21)
| e23 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e21)) )],[refute_6_875,refute_6_879]) ).
cnf(refute_6_881,plain,
( e23 = h4(op1(e10,e13))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e21)) )],[refute_6_873,refute_6_880]) ).
cnf(refute_6_882,plain,
( h4(e10) != e22
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_883,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_822,refute_6_882]) ).
cnf(refute_6_884,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e13)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_883]) ).
cnf(refute_6_885,plain,
( e23 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e22,e21)
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_6_886,plain,
( e23 != h4(op1(e10,e13))
| e23 = op2(e22,e21)
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e22,e21)) )],[refute_6_884,refute_6_885]) ).
cnf(refute_6_887,plain,
( e23 = op2(e22,e21)
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e13))) )],[refute_6_881,refute_6_886]) ).
cnf(refute_6_888,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_195]) ).
cnf(refute_6_889,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_890,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_889]) ).
cnf(refute_6_891,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_6_890,refute_6_888]) ).
cnf(refute_6_892,plain,
( e23 != op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_6_893,plain,
e23 != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_6_892,refute_6_891]) ).
cnf(refute_6_894,plain,
( h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_6_887,refute_6_893]) ).
cnf(refute_6_895,plain,
( h4(e10) != e22
| h4(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_896,plain,
( h4(e10) != e22
| e23 = e22
| h4(e10) = e20
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_894,refute_6_895]) ).
cnf(refute_6_897,plain,
( e23 = e22
| h2(e13) = e21
| h4(e10) = e20
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_846,refute_6_896]) ).
cnf(refute_6_898,plain,
( h2(e13) = e21
| h4(e10) = e20
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_897,refute_6_21]) ).
cnf(refute_6_899,plain,
( h2(e13) != e20
| h4(e10) != e20
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_6_900,plain,
( h2(e13) != e20
| h2(e13) = e21
| h2(e13) = h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_898,refute_6_899]) ).
cnf(refute_6_901,plain,
( h2(e13) != e20
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_6_900,refute_6_812]) ).
cnf(refute_6_902,plain,
( h2(e13) != e20
| e20 = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_901,refute_6_599]) ).
cnf(refute_6_903,plain,
( h2(e13) != e20
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_902,refute_6_280]) ).
cnf(refute_6_904,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_6_196]) ).
cnf(refute_6_905,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_6_647,refute_6_904]) ).
cnf(refute_6_906,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_6_662,refute_6_905]) ).
cnf(refute_6_907,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_197]) ).
cnf(refute_6_908,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_909,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_908]) ).
cnf(refute_6_910,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_6_909,refute_6_907]) ).
cnf(refute_6_911,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_6_912,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_241,refute_6_911]) ).
cnf(refute_6_913,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_6_912,refute_6_910]) ).
cnf(refute_6_914,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_915,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_672,refute_6_914]) ).
cnf(refute_6_916,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_915,refute_6_913]) ).
cnf(refute_6_917,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_916]) ).
cnf(refute_6_918,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_919,plain,
( op2(e21,e21) != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_917,refute_6_918]) ).
cnf(refute_6_920,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_6_919,refute_6_906]) ).
cnf(refute_6_921,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_6_922,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_921]) ).
cnf(refute_6_923,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_922,refute_6_920]) ).
cnf(refute_6_924,plain,
( h2(e13) != e20
| h2(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_925,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| e22 = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_923,refute_6_924]) ).
cnf(refute_6_926,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_927,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| e22 = e20
| e22 = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_925,refute_6_926]) ).
cnf(refute_6_928,plain,
( h2(e13) != e22
| h2(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_929,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| e22 = e20
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_927,refute_6_928]) ).
cnf(refute_6_930,plain,
e20 != e22,
inference(canonicalize,[],[normalize_6_198]) ).
cnf(refute_6_931,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_932,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_931,refute_6_930]) ).
cnf(refute_6_933,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_929,refute_6_932]) ).
cnf(refute_6_934,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_935,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_934,refute_6_275]) ).
cnf(refute_6_936,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_933,refute_6_935]) ).
cnf(refute_6_937,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_936,refute_6_19]) ).
cnf(refute_6_938,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_199]) ).
cnf(refute_6_939,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_6_211]) ).
cnf(refute_6_940,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_6_213]) ).
cnf(refute_6_941,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_940,refute_6_298]) ).
cnf(refute_6_942,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_6_215]) ).
cnf(refute_6_943,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_944,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_6_945,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_6_943,refute_6_944]) ).
cnf(refute_6_946,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_945]) ).
cnf(refute_6_947,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_6_948,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_6_946,refute_6_947]) ).
cnf(refute_6_949,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_6_948,refute_6_942]) ).
cnf(refute_6_950,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_6_951,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_952,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_6_950,refute_6_951]) ).
cnf(refute_6_953,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_952]) ).
cnf(refute_6_954,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_955,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_6_953,refute_6_954]) ).
cnf(refute_6_956,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_6_955,refute_6_949]) ).
cnf(refute_6_957,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_6_216]) ).
cnf(refute_6_958,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_6_959,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_957,refute_6_958]) ).
cnf(refute_6_960,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_959,refute_6_956]) ).
cnf(refute_6_961,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_960]) ).
cnf(refute_6_962,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_6_961,refute_6_941]) ).
cnf(refute_6_963,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_6_939,refute_6_962]) ).
cnf(refute_6_964,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_6_218]) ).
cnf(refute_6_965,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_6_966,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_965]) ).
cnf(refute_6_967,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_6_964,refute_6_966]) ).
cnf(refute_6_968,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_967,refute_6_930]) ).
cnf(refute_6_969,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_6_963,refute_6_968]) ).
cnf(refute_6_970,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_971,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_969,refute_6_970]) ).
cnf(refute_6_972,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_6_971,refute_6_938]) ).
cnf(refute_6_973,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_6_219]) ).
cnf(refute_6_974,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_6_973,refute_6_962]) ).
cnf(refute_6_975,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_6_974,refute_6_968]) ).
cnf(refute_6_976,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_975,refute_6_548]) ).
cnf(refute_6_977,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_6_976,refute_6_537]) ).
cnf(refute_6_978,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_6_220]) ).
cnf(refute_6_979,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_978,refute_6_671]) ).
cnf(refute_6_980,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_6_979,refute_6_891]) ).
cnf(refute_6_981,plain,
( e23 != e23
| e23 = op2(e23,e21)
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_980,refute_6_563]) ).
cnf(refute_6_982,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_6_981,refute_6_977]) ).
cnf(refute_6_983,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_982,refute_6_972]) ).
cnf(refute_6_984,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_983]) ).
cnf(refute_6_985,plain,
( h2(e13) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_986,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_984,refute_6_985]) ).
cnf(refute_6_987,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_6_738,refute_6_986]) ).
cnf(refute_6_988,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h4(op1(e10,e11)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_6_989,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e23)
| h4(op1(e10,e11)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_6_832,refute_6_988]) ).
cnf(refute_6_990,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e12))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e23)) )],[refute_6_987,refute_6_989]) ).
cnf(refute_6_991,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| op1(e10,e11) != e10
| h4(e10) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_992,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| h4(e10) = h4(op1(e10,e12))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_739,refute_6_991]) ).
cnf(refute_6_993,plain,
( h4(e10) = h4(op1(e10,e12))
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) )],[refute_6_990,refute_6_992]) ).
cnf(refute_6_994,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_6_221]) ).
cnf(refute_6_995,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_996,plain,
( op1(e10,e12) = e11
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_349,refute_6_995]) ).
cnf(refute_6_997,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_6_996,refute_6_994]) ).
cnf(refute_6_998,plain,
( h4(e10) != h4(op1(e10,e12))
| op1(e10,e12) != e11
| h4(e10) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h4(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_999,plain,
( h4(e10) != h4(op1(e10,e12))
| h4(e10) = h4(e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_997,refute_6_998]) ).
cnf(refute_6_1000,plain,
( h4(e10) = h4(e11)
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e10,e12))) )],[refute_6_993,refute_6_999]) ).
cnf(refute_6_1001,plain,
( h4(e10) != h4(e11)
| h4(e11) != h2(e13)
| h4(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h2(e13)) ),[0],$fot(h4(e11))]]) ).
cnf(refute_6_1002,plain,
( h4(e10) != h4(e11)
| h4(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_1001]) ).
cnf(refute_6_1003,plain,
( h4(e10) = h2(e13)
| definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e11)) )],[refute_6_1000,refute_6_1002]) ).
cnf(refute_6_1004,plain,
( h4(e10) != h2(e13)
| h2(e13) = h4(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_6_1005,plain,
h4(e10) != h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_6_1004,refute_6_812]) ).
cnf(refute_6_1006,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h2(e13)) )],[refute_6_1003,refute_6_1005]) ).
cnf(refute_6_1007,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_6_1006,refute_6_447]) ).
cnf(refute_6_1008,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_6_222]) ).
cnf(refute_6_1009,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_6_1010,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_6_1011,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_6_1009,refute_6_1010]) ).
cnf(refute_6_1012,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1011]) ).
cnf(refute_6_1013,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_1014,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_1015,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_1013,refute_6_1014]) ).
cnf(refute_6_1016,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1015]) ).
cnf(refute_6_1017,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_6_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_6_1018,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_6_1016,refute_6_1017]) ).
cnf(refute_6_1019,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_6_1012,refute_6_1018]) ).
cnf(refute_6_1020,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_1021,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_6_1019,refute_6_1020]) ).
cnf(refute_6_1022,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_1008,refute_6_1021]) ).
cnf(refute_6_1023,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_6_231]) ).
cnf(refute_6_1024,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_6_233]) ).
cnf(refute_6_1025,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_6_234]) ).
cnf(refute_6_1026,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_6_235]) ).
cnf(refute_6_1027,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_6_1028,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_1027]) ).
cnf(refute_6_1029,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_1026,refute_6_1028]) ).
cnf(refute_6_1030,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_6_1031,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1030,refute_6_419]) ).
cnf(refute_6_1032,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_1029,refute_6_1031]) ).
cnf(refute_6_1033,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_236]) ).
cnf(refute_6_1034,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1035,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_1034]) ).
cnf(refute_6_1036,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_6_1035,refute_6_1033]) ).
cnf(refute_6_1037,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_1032,refute_6_1036]) ).
cnf(refute_6_1038,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_1039,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_1037,refute_6_1038]) ).
cnf(refute_6_1040,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_6_1039,refute_6_1025]) ).
cnf(refute_6_1041,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_6_1042,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_6_1040,refute_6_1041]) ).
cnf(refute_6_1043,plain,
( e11 = e12
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_6_1024,refute_6_1042]) ).
cnf(refute_6_1044,plain,
e11 != e12,
inference(canonicalize,[],[normalize_6_237]) ).
cnf(refute_6_1045,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_1043,refute_6_1044]) ).
cnf(refute_6_1046,plain,
( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_6_1045,refute_6_1023]) ).
cnf(refute_6_1047,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_349,refute_6_359]) ).
cnf(refute_6_1048,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_1047,refute_6_311]) ).
cnf(refute_6_1049,plain,
( e11 != e11
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_374,refute_6_1048]) ).
cnf(refute_6_1050,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1049]) ).
cnf(refute_6_1051,plain,
( op1(e10,e12) = e12
| op1(e11,op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1050,refute_6_445]) ).
cnf(refute_6_1052,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),e12) )],[refute_6_1051,refute_6_1046]) ).
cnf(refute_6_1053,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_6_239]) ).
cnf(refute_6_1054,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_240]) ).
cnf(refute_6_1055,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1056,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_1055]) ).
cnf(refute_6_1057,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_6_1056,refute_6_1054]) ).
cnf(refute_6_1058,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_1053,refute_6_1057]) ).
cnf(refute_6_1059,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_6_241]) ).
cnf(refute_6_1060,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_6_152,refute_6_1059]) ).
cnf(refute_6_1061,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_6_176,refute_6_1060]) ).
cnf(refute_6_1062,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_6_385,refute_6_1061]) ).
cnf(refute_6_1063,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_1064,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_241,refute_6_1063]) ).
cnf(refute_6_1065,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_6_1064,refute_6_1062]) ).
cnf(refute_6_1066,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_242]) ).
cnf(refute_6_1067,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_6_244]) ).
cnf(refute_6_1068,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_6_1069,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1067,refute_6_1068]) ).
cnf(refute_6_1070,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_1069,refute_6_311]) ).
cnf(refute_6_1071,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_1072,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_349,refute_6_1071]) ).
cnf(refute_6_1073,plain,
( e12 != e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_1072,refute_6_1070]) ).
cnf(refute_6_1074,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_779,refute_6_1073]) ).
cnf(refute_6_1075,plain,
( op1(e10,e11) != e11
| op1(e10,e12) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1076,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1074,refute_6_1075]) ).
cnf(refute_6_1077,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_6_1076,refute_6_1066]) ).
cnf(refute_6_1078,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_245]) ).
cnf(refute_6_1079,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_6_246]) ).
cnf(refute_6_1080,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_6_247]) ).
cnf(refute_6_1081,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_248]) ).
cnf(refute_6_1082,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_6_1083,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_1082]) ).
cnf(refute_6_1084,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_6_1083,refute_6_1081]) ).
cnf(refute_6_1085,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_6_1086,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_6_1085,refute_6_1084]) ).
cnf(refute_6_1087,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1080,refute_6_1086]) ).
cnf(refute_6_1088,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_1087,refute_6_1036]) ).
cnf(refute_6_1089,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_1090,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_6_1088,refute_6_1089]) ).
cnf(refute_6_1091,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_6_1090,refute_6_1079]) ).
cnf(refute_6_1092,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_1093,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_1092]) ).
cnf(refute_6_1094,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_1093,refute_6_1091]) ).
cnf(refute_6_1095,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_1094]) ).
cnf(refute_6_1096,plain,
( op1(e12,e11) != e10
| op1(e12,e13) != e10
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1097,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_1095,refute_6_1096]) ).
cnf(refute_6_1098,plain,
( op1(e12,e11) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_6_1097,refute_6_1078]) ).
cnf(refute_6_1099,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(canonicalize,[],[normalize_6_249]) ).
cnf(refute_6_1100,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_250]) ).
cnf(refute_6_1101,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1102,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_345,refute_6_1101]) ).
cnf(refute_6_1103,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_6_1102,refute_6_1100]) ).
cnf(refute_6_1104,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_1099,refute_6_1103]) ).
cnf(refute_6_1105,plain,
( e10 != e10
| op1(e12,e11) != e10
| op1(e12,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_6_1106,plain,
( e10 != e10
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_6_1104,refute_6_1105]) ).
cnf(refute_6_1107,plain,
( e10 != e10
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_6_1106,refute_6_1098]) ).
cnf(refute_6_1108,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_1107]) ).
cnf(refute_6_1109,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_6_251]) ).
cnf(refute_6_1110,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_789,refute_6_1038]) ).
cnf(refute_6_1111,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_6_1110,refute_6_1109]) ).
cnf(refute_6_1112,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[0],$fot(e11)]]) ).
cnf(refute_6_1113,plain,
( op1(e11,e11) != e10
| e11 = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1111,refute_6_1112]) ).
cnf(refute_6_1114,plain,
( e11 = e10
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_1108,refute_6_1113]) ).
cnf(refute_6_1115,plain,
e10 != e11,
inference(canonicalize,[],[normalize_6_252]) ).
cnf(refute_6_1116,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_1117,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_6_1116,refute_6_1115]) ).
cnf(refute_6_1118,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_6_1114,refute_6_1117]) ).
cnf(refute_6_1119,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_1120,plain,
( e11 != e11
| op1(e10,e11) = e10
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1118,refute_6_1119]) ).
cnf(refute_6_1121,plain,
( e11 != e11
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1120,refute_6_1077]) ).
cnf(refute_6_1122,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1121]) ).
cnf(refute_6_1123,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_1122,refute_6_740]) ).
cnf(refute_6_1124,plain,
( h4(e10) = op2(h4(e10),h2(e13))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_6_738,refute_6_1123]) ).
cnf(refute_6_1125,plain,
( h4(e10) = h4(op1(e10,e11))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),h2(e13))) )],[refute_6_1124,refute_6_746]) ).
cnf(refute_6_1126,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1111,refute_6_794]) ).
cnf(refute_6_1127,plain,
( h4(e11) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_708,refute_6_1126]) ).
cnf(refute_6_1128,plain,
( h2(e13) = h2(e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_6_1127,refute_6_798]) ).
cnf(refute_6_1129,plain,
( h4(e10) != h4(op1(e10,e11))
| op1(e10,e11) != e11
| h4(e10) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_1130,plain,
( h4(e10) != h4(op1(e10,e11))
| h2(e13) = h2(e11)
| h4(e10) = h4(e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1128,refute_6_1129]) ).
cnf(refute_6_1131,plain,
( h2(e13) = h2(e11)
| h4(e10) = h4(e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e10,e11))) )],[refute_6_1125,refute_6_1130]) ).
cnf(refute_6_1132,plain,
( h2(e13) = h2(e11)
| h4(e10) = h2(e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e11)) )],[refute_6_1131,refute_6_1002]) ).
cnf(refute_6_1133,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),h2(e13)) )],[refute_6_1132,refute_6_1005]) ).
cnf(refute_6_1134,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_1135,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_984,refute_6_1134]) ).
cnf(refute_6_1136,plain,
( h2(e11) = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1135]) ).
cnf(refute_6_1137,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_1138,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_984,refute_6_1137]) ).
cnf(refute_6_1139,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1138]) ).
cnf(refute_6_1140,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_1141,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_984,refute_6_1140]) ).
cnf(refute_6_1142,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_6_1139,refute_6_1141]) ).
cnf(refute_6_1143,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_1144,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_187,refute_6_1143]) ).
cnf(refute_6_1145,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_6_1142,refute_6_1144]) ).
cnf(refute_6_1146,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1147,plain,
( h2(e11) != op2(h2(e13),e23)
| e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1145,refute_6_1146]) ).
cnf(refute_6_1148,plain,
( e21 = op2(h2(e13),e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e23)) )],[refute_6_1136,refute_6_1147]) ).
cnf(refute_6_1149,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_6_253]) ).
cnf(refute_6_1150,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_6_254]) ).
cnf(refute_6_1151,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_1152,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1151]) ).
cnf(refute_6_1153,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_6_1152,refute_6_1150]) ).
cnf(refute_6_1154,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_255]) ).
cnf(refute_6_1155,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_1156,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_1155]) ).
cnf(refute_6_1157,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_6_1156,refute_6_1154]) ).
cnf(refute_6_1158,plain,
( op2(e23,e20) != e22
| op2(e23,e21) != e22
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1159,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_6_558,refute_6_1158]) ).
cnf(refute_6_1160,plain,
( op2(e23,e20) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_6_1159,refute_6_537]) ).
cnf(refute_6_1161,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_6_256]) ).
cnf(refute_6_1162,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_1161,refute_6_75]) ).
cnf(refute_6_1163,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_1162,refute_6_519]) ).
cnf(refute_6_1164,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_1165,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_1164]) ).
cnf(refute_6_1166,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_1163,refute_6_1165]) ).
cnf(refute_6_1167,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_6_1168,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_1167]) ).
cnf(refute_6_1169,plain,
( op2(e23,e20) != e23
| e23 = e20
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_1166,refute_6_1168]) ).
cnf(refute_6_1170,plain,
e20 != e23,
inference(canonicalize,[],[normalize_6_257]) ).
cnf(refute_6_1171,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_1172,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_1171,refute_6_1170]) ).
cnf(refute_6_1173,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_1169,refute_6_1172]) ).
cnf(refute_6_1174,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_6_1175,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_1174]) ).
cnf(refute_6_1176,plain,
( op2(e23,e20) != e23
| e21 = e20
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_1173,refute_6_1175]) ).
cnf(refute_6_1177,plain,
( op2(e23,e20) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_1176,refute_6_282]) ).
cnf(refute_6_1178,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_6_1179,plain,
( e23 != e23
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_547,refute_6_1178]) ).
cnf(refute_6_1180,plain,
( e23 != e23
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1179,refute_6_1177]) ).
cnf(refute_6_1181,plain,
( h1(e13) = e20
| h2(e13) = e20
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1180]) ).
cnf(refute_6_1182,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_1183,plain,
( e22 != e22
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_1181,refute_6_1182]) ).
cnf(refute_6_1184,plain,
( e22 != e22
| h1(e13) = e20
| h2(e13) = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_1183,refute_6_1160]) ).
cnf(refute_6_1185,plain,
( h1(e13) = e20
| h2(e13) = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1184]) ).
cnf(refute_6_1186,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1187,plain,
( h2(e13) != e23
| h1(e13) = e20
| h2(e13) = e20
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_1185,refute_6_1186]) ).
cnf(refute_6_1188,plain,
( h2(e13) != e23
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_6_1187,refute_6_1157]) ).
cnf(refute_6_1189,plain,
( h2(e13) != e20
| h2(e13) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_1190,plain,
( h2(e13) != e23
| e23 = e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1188,refute_6_1189]) ).
cnf(refute_6_1191,plain,
( h2(e13) != e23
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_1190,refute_6_1172]) ).
cnf(refute_6_1192,plain,
( e23 != e23
| h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_983,refute_6_1191]) ).
cnf(refute_6_1193,plain,
( h1(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1192]) ).
cnf(refute_6_1194,plain,
( e20 != op2(e21,e20)
| h1(e13) != e20
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_1195,plain,
( e20 != op2(e21,e20)
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1193,refute_6_1194]) ).
cnf(refute_6_1196,plain,
( e20 != op2(e21,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_6_1195,refute_6_1153]) ).
cnf(refute_6_1197,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_6_258]) ).
cnf(refute_6_1198,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_1197,refute_6_519]) ).
cnf(refute_6_1199,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_1198,refute_6_815]) ).
cnf(refute_6_1200,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_6_1199,refute_6_240]) ).
cnf(refute_6_1201,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1202,plain,
( e20 != e20
| e20 = op2(e21,e20)
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_6_1200,refute_6_1201]) ).
cnf(refute_6_1203,plain,
( e20 != e20
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_6_1202,refute_6_1196]) ).
cnf(refute_6_1204,plain,
( h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1203]) ).
cnf(refute_6_1205,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1206,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1204,refute_6_1205]) ).
cnf(refute_6_1207,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_1149,refute_6_1206]) ).
cnf(refute_6_1208,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) != op2(e20,h4(e10))
| h4(op1(e10,e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_1209,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1204,refute_6_1208]) ).
cnf(refute_6_1210,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) )],[refute_6_1207,refute_6_1209]) ).
cnf(refute_6_1211,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h4(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_1212,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1211]) ).
cnf(refute_6_1213,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = h1(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,e20)) )],[refute_6_1210,refute_6_1212]) ).
cnf(refute_6_1214,plain,
( h1(e13) != e20
| h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1215,plain,
( h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1193,refute_6_1214]) ).
cnf(refute_6_1216,plain,
( h2(e13) = e20
| h4(op1(e10,e10)) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) )],[refute_6_1213,refute_6_1215]) ).
cnf(refute_6_1217,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| op1(e10,e12) != e11
| h4(op1(e10,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_1218,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e12))
| h4(op1(e10,e11)) = h4(e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1074,refute_6_1217]) ).
cnf(refute_6_1219,plain,
( h4(op1(e10,e11)) = h4(e11)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e12))) )],[refute_6_990,refute_6_1218]) ).
cnf(refute_6_1220,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) != h4(e11)
| h4(op1(e10,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(e11)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_1221,plain,
( h4(op1(e10,e11)) != h4(e11)
| h4(op1(e10,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_204,refute_6_1220]) ).
cnf(refute_6_1222,plain,
( h4(op1(e10,e11)) = h2(e13)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e11)) )],[refute_6_1219,refute_6_1221]) ).
cnf(refute_6_1223,plain,
( h2(e13) != e23
| h4(op1(e10,e11)) != h2(e13)
| h4(op1(e10,e11)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1224,plain,
( h4(op1(e10,e11)) != h2(e13)
| h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_984,refute_6_1223]) ).
cnf(refute_6_1225,plain,
( h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) )],[refute_6_1222,refute_6_1224]) ).
cnf(refute_6_1226,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_259]) ).
cnf(refute_6_1227,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_6_1228,plain,
( e13 != op1(e11,e13)
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_750,refute_6_1227]) ).
cnf(refute_6_1229,plain,
( e13 != op1(e11,e13)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_6_1228,refute_6_1226]) ).
cnf(refute_6_1230,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_260]) ).
cnf(refute_6_1231,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_6_1232,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1067,refute_6_1231]) ).
cnf(refute_6_1233,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_6_1232,refute_6_1230]) ).
cnf(refute_6_1234,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_261]) ).
cnf(refute_6_1235,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1236,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_1095,refute_6_1235]) ).
cnf(refute_6_1237,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_6_1236,refute_6_1234]) ).
cnf(refute_6_1238,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_6_262]) ).
cnf(refute_6_1239,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_1238,refute_6_1057]) ).
cnf(refute_6_1240,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_6_1241,plain,
( e10 != e10
| op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_1239,refute_6_1240]) ).
cnf(refute_6_1242,plain,
( e10 != e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_1241,refute_6_1237]) ).
cnf(refute_6_1243,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_1242]) ).
cnf(refute_6_1244,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_1245,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_1243,refute_6_1244]) ).
cnf(refute_6_1246,plain,
( e12 != e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_6_1245,refute_6_1233]) ).
cnf(refute_6_1247,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_779,refute_6_1246]) ).
cnf(refute_6_1248,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1249,plain,
( e13 != e13
| e13 = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1247,refute_6_1248]) ).
cnf(refute_6_1250,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_6_1249,refute_6_1229]) ).
cnf(refute_6_1251,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_1250]) ).
cnf(refute_6_1252,plain,
( h4(op1(e10,e11)) != e23
| op1(e10,e11) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1253,plain,
( h4(op1(e10,e11)) != e23
| h4(e13) = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_1251,refute_6_1252]) ).
cnf(refute_6_1254,plain,
( h4(e13) = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_6_1225,refute_6_1253]) ).
cnf(refute_6_1255,plain,
( e21 = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_1254,refute_6_47]) ).
cnf(refute_6_1256,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_1255,refute_6_49]) ).
cnf(refute_6_1257,plain,
( h4(op1(e10,e10)) != e20
| op1(e10,e10) != e13
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e20) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1258,plain,
( h4(op1(e10,e10)) != e20
| h4(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_1256,refute_6_1257]) ).
cnf(refute_6_1259,plain,
( h2(e13) = e20
| h4(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_6_1216,refute_6_1258]) ).
cnf(refute_6_1260,plain,
( e21 = e20
| h2(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_1259,refute_6_1175]) ).
cnf(refute_6_1261,plain,
( h2(e13) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_1260,refute_6_282]) ).
cnf(refute_6_1262,plain,
( e21 != op2(h2(e13),e23)
| h2(e13) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1263,plain,
( e21 != op2(h2(e13),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1261,refute_6_1262]) ).
cnf(refute_6_1264,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e23)) )],[refute_6_1148,refute_6_1263]) ).
cnf(refute_6_1265,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_1266,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_1265,refute_6_617]) ).
cnf(refute_6_1267,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_6_1264,refute_6_1266]) ).
cnf(refute_6_1268,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_6_263]) ).
cnf(refute_6_1269,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_6_1270,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h4(e10))]]) ).
cnf(refute_6_1271,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_6_1269,refute_6_1270]) ).
cnf(refute_6_1272,plain,
op2(e21,op2(e21,e23)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_1271]) ).
cnf(refute_6_1273,plain,
( op2(e21,h4(e10)) != e23
| op2(e21,op2(e21,e23)) != op2(e21,h4(e10))
| op2(e21,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h4(e10))) ),[1],$fot(e23)]]) ).
cnf(refute_6_1274,plain,
( op2(e21,h4(e10)) != e23
| op2(e21,op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h4(e10))) )],[refute_6_1272,refute_6_1273]) ).
cnf(refute_6_1275,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),e23) )],[refute_6_1274,refute_6_1268]) ).
cnf(refute_6_1276,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_6_647,refute_6_1275]) ).
cnf(refute_6_1277,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_6_662,refute_6_1276]) ).
cnf(refute_6_1278,plain,
( h4(e10) != e23
| op2(e21,e23) != e23
| op2(e21,h4(e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,h4(e10)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_1279,plain,
( op2(e21,e23) != e23
| h4(e10) = e20
| h4(e10) = e22
| op2(e21,h4(e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_822,refute_6_1278]) ).
cnf(refute_6_1280,plain,
( op2(e21,e23) != e23
| ~ definitionFOFtoCNF_23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),e23) )],[refute_6_1279,refute_6_1277]) ).
cnf(refute_6_1281,plain,
( h4(e10) != e23
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1282,plain,
( h4(e10) != e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_1281]) ).
cnf(refute_6_1283,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_1282,refute_6_1280]) ).
cnf(refute_6_1284,plain,
( h4(e10) != e20
| h4(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_1285,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_23
| e23 = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1283,refute_6_1284]) ).
cnf(refute_6_1286,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_23
| e23 = e20
| e23 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1285,refute_6_895]) ).
cnf(refute_6_1287,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_23
| e23 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_1286,refute_6_1172]) ).
cnf(refute_6_1288,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_1287,refute_6_21]) ).
cnf(refute_6_1289,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_264]) ).
cnf(refute_6_1290,plain,
( op1(e10,e13) != e10
| op1(e12,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1291,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_1095,refute_6_1290]) ).
cnf(refute_6_1292,plain,
( op1(e10,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_6_1291,refute_6_1289]) ).
cnf(refute_6_1293,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_1294,plain,
( e10 != e10
| op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_864,refute_6_1293]) ).
cnf(refute_6_1295,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_1294,refute_6_1292]) ).
cnf(refute_6_1296,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_1295]) ).
cnf(refute_6_1297,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1296,refute_6_1227]) ).
cnf(refute_6_1298,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_6_1297,refute_6_1226]) ).
cnf(refute_6_1299,plain,
( e13 != e13
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_6_1249,refute_6_1298]) ).
cnf(refute_6_1300,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_1299]) ).
cnf(refute_6_1301,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_1300,refute_6_871]) ).
cnf(refute_6_1302,plain,
( h4(e12) = op2(h4(e10),e21)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1301]) ).
cnf(refute_6_1303,plain,
( e23 = h4(op1(e10,e13))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e21)) )],[refute_6_1302,refute_6_880]) ).
cnf(refute_6_1304,plain,
( e23 = op2(e22,e21)
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e13))) )],[refute_6_1303,refute_6_886]) ).
cnf(refute_6_1305,plain,
( h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_6_1304,refute_6_893]) ).
cnf(refute_6_1306,plain,
( e23 != e23
| h4(e10) != e23
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_1307,plain,
( e23 != e23
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1305,refute_6_1306]) ).
cnf(refute_6_1308,plain,
( e23 != e23
| ~ definitionFOFtoCNF_23
| h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1307,refute_6_1288]) ).
cnf(refute_6_1309,plain,
( ~ definitionFOFtoCNF_23
| h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1308]) ).
cnf(refute_6_1310,plain,
( h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1267,refute_6_1309]) ).
cnf(refute_6_1311,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_265]) ).
cnf(refute_6_1312,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_1313,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_1312]) ).
cnf(refute_6_1314,plain,
h4(e10) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_6_1313,refute_6_1311]) ).
cnf(refute_6_1315,plain,
( h4(e10) != e20
| op2(e22,e23) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1316,plain,
( h4(e10) != e20
| h4(e10) = op2(e22,e23)
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_506,refute_6_1315]) ).
cnf(refute_6_1317,plain,
( h4(e10) != e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_6_1316,refute_6_1314]) ).
cnf(refute_6_1318,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_1319,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1310,refute_6_1318]) ).
cnf(refute_6_1320,plain,
( e20 != e20
| op2(e22,e23) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1319,refute_6_1317]) ).
cnf(refute_6_1321,plain,
( op2(e22,e23) = e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1320]) ).
cnf(refute_6_1322,plain,
( h4(e10) != e22
| op2(e22,e23) != e22
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1323,plain,
( h4(e10) != e22
| h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_1321,refute_6_1322]) ).
cnf(refute_6_1324,plain,
( h4(e10) != e22
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_6_1323,refute_6_1314]) ).
cnf(refute_6_1325,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_6_266]) ).
cnf(refute_6_1326,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_6_647,refute_6_1325]) ).
cnf(refute_6_1327,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_6_662,refute_6_1326]) ).
cnf(refute_6_1328,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_267]) ).
cnf(refute_6_1329,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_1328,refute_6_671]) ).
cnf(refute_6_1330,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_1329,refute_6_235]) ).
cnf(refute_6_1331,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_1330,refute_6_302]) ).
cnf(refute_6_1332,plain,
( op2(e21,e20) != e23
| op2(e21,e23) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_1333,plain,
( op2(e21,e23) != e20
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_6_1331,refute_6_1332]) ).
cnf(refute_6_1334,plain,
( op2(e21,e23) != e20
| ~ definitionFOFtoCNF_23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_6_1333,refute_6_1327]) ).
cnf(refute_6_1335,plain,
( h4(e10) != e20
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1336,plain,
( h4(e10) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_6_257,refute_6_1335]) ).
cnf(refute_6_1337,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_1336,refute_6_1334]) ).
cnf(refute_6_1338,plain,
( h4(e10) != e20
| h4(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_1339,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| e20 = e23
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1337,refute_6_1338]) ).
cnf(refute_6_1340,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_23
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_1339,refute_6_1170]) ).
cnf(refute_6_1341,plain,
( e20 != e20
| h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_822,refute_6_1318]) ).
cnf(refute_6_1342,plain,
( e20 != e20
| ~ definitionFOFtoCNF_23
| h2(e13) = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1341,refute_6_1340]) ).
cnf(refute_6_1343,plain,
( ~ definitionFOFtoCNF_23
| h2(e13) = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1342]) ).
cnf(refute_6_1344,plain,
( h2(e13) = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1267,refute_6_1343]) ).
cnf(refute_6_1345,plain,
( e22 != e22
| h4(e10) != e22
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_1346,plain,
( e22 != e22
| h2(e13) = e23
| h4(e10) = e22
| h4(e10) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1344,refute_6_1345]) ).
cnf(refute_6_1347,plain,
( e22 != e22
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1346,refute_6_1324]) ).
cnf(refute_6_1348,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1347]) ).
cnf(refute_6_1349,plain,
( h4(e10) != e20
| e23 = e20
| h2(e13) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1348,refute_6_1284]) ).
cnf(refute_6_1350,plain,
( e23 = e20
| h2(e13) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1310,refute_6_1349]) ).
cnf(refute_6_1351,plain,
( h2(e13) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_1350,refute_6_1172]) ).
cnf(refute_6_1352,plain,
( h2(e13) != e23
| h2(e13) != h2(e11)
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h2(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_6_1353,plain,
( h2(e13) != h2(e11)
| e23 = h2(e11)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_1351,refute_6_1352]) ).
cnf(refute_6_1354,plain,
( e23 = h2(e11)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_6_1133,refute_6_1353]) ).
cnf(refute_6_1355,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != h2(e11)
| h2(e11) = op2(h2(e13),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_6_1356,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e11))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_6_1133,refute_6_1355]) ).
cnf(refute_6_1357,plain,
( h2(e11) = op2(h2(e13),h2(e11))
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1356]) ).
cnf(refute_6_1358,plain,
( h2(e11) != op2(h2(e13),h2(e11))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_1359,plain,
( h2(e11) != op2(h2(e13),h2(e11))
| h2(e11) = op2(e23,h2(e11))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_1351,refute_6_1358]) ).
cnf(refute_6_1360,plain,
( h2(e11) = op2(e23,h2(e11))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e11))) )],[refute_6_1357,refute_6_1359]) ).
cnf(refute_6_1361,plain,
( e23 != h2(e11)
| h2(e11) = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_1362,plain,
( h2(e11) = e23
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_1354,refute_6_1361]) ).
cnf(refute_6_1363,plain,
( h2(e11) != e23
| h2(e11) != op2(e23,h2(e11))
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_1364,plain,
( h2(e11) != op2(e23,h2(e11))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_1362,refute_6_1363]) ).
cnf(refute_6_1365,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e11))) )],[refute_6_1360,refute_6_1364]) ).
cnf(refute_6_1366,plain,
( h2(e11) = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_6_1365,refute_6_1144]) ).
cnf(refute_6_1367,plain,
( e23 != h2(e11)
| h2(e11) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_1368,plain,
( e23 != h2(e11)
| e23 = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1366,refute_6_1367]) ).
cnf(refute_6_1369,plain,
( e23 = e21
| definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_1354,refute_6_1368]) ).
cnf(refute_6_1370,plain,
( definitionFOFtoCNF_10
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_1369,refute_6_357]) ).
cnf(refute_6_1371,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_6_1370,refute_6_1065]) ).
cnf(refute_6_1372,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1373,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1371,refute_6_1372]) ).
cnf(refute_6_1374,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_6_1373,refute_6_0]) ).
cnf(refute_6_1375,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_6_1370,refute_6_386]) ).
cnf(refute_6_1376,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_1377,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_1375,refute_6_1376]) ).
cnf(refute_6_1378,plain,
( e21 != e21
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_1377,refute_6_1374]) ).
cnf(refute_6_1379,plain,
definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1378]) ).
cnf(refute_6_1380,plain,
definitionFOFtoCNF_9,
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_6_1379,refute_6_1058]) ).
cnf(refute_6_1381,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_6_1380,refute_6_1052]) ).
cnf(refute_6_1382,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_6_279]) ).
cnf(refute_6_1383,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_6_281]) ).
cnf(refute_6_1384,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1383,refute_6_1086]) ).
cnf(refute_6_1385,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_6_283]) ).
cnf(refute_6_1386,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_6_284]) ).
cnf(refute_6_1387,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_1388,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_1386,refute_6_1387]) ).
cnf(refute_6_1389,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_6_1388,refute_6_1385]) ).
cnf(refute_6_1390,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_6_1391,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_1390]) ).
cnf(refute_6_1392,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_1391,refute_6_1389]) ).
cnf(refute_6_1393,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1392]) ).
cnf(refute_6_1394,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_6_1393,refute_6_1384]) ).
cnf(refute_6_1395,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_6_1382,refute_6_1394]) ).
cnf(refute_6_1396,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_6_286]) ).
cnf(refute_6_1397,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_6_1398,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_345,refute_6_1397]) ).
cnf(refute_6_1399,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_6_1396,refute_6_1398]) ).
cnf(refute_6_1400,plain,
e10 != e12,
inference(canonicalize,[],[normalize_6_287]) ).
cnf(refute_6_1401,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_1399,refute_6_1400]) ).
cnf(refute_6_1402,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_6_1395,refute_6_1401]) ).
cnf(refute_6_1403,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e13
| h4(e13) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1404,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1402,refute_6_1403]) ).
cnf(refute_6_1405,plain,
( h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1404]) ).
cnf(refute_6_1406,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1407,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_1406]) ).
cnf(refute_6_1408,plain,
( e21 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_6_1409,plain,
( e21 != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_6_877,refute_6_1408]) ).
cnf(refute_6_1410,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e21)) )],[refute_6_1407,refute_6_1409]) ).
cnf(refute_6_1411,plain,
( e21 = h4(op1(e10,e13))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) )],[refute_6_1405,refute_6_1410]) ).
cnf(refute_6_1412,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_1413,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_822,refute_6_1412]) ).
cnf(refute_6_1414,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1413]) ).
cnf(refute_6_1415,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_6_1416,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_6_1414,refute_6_1415]) ).
cnf(refute_6_1417,plain,
( e21 = op2(e23,e21)
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1411,refute_6_1416]) ).
cnf(refute_6_1418,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_6_1419,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_6_1418,refute_6_475]) ).
cnf(refute_6_1420,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_6_1417,refute_6_1419]) ).
cnf(refute_6_1421,plain,
( h4(e10) != e22
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_1422,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) = e20
| h4(op1(e10,e10)) = op2(e22,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1420,refute_6_1421]) ).
cnf(refute_6_1423,plain,
( h4(e10) = e20
| h4(op1(e10,e10)) = op2(e22,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_1149,refute_6_1422]) ).
cnf(refute_6_1424,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_6_288]) ).
cnf(refute_6_1425,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_6_289]) ).
cnf(refute_6_1426,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_1425,refute_6_348]) ).
cnf(refute_6_1427,plain,
( e21 != h4(op1(e10,e13))
| op1(e10,e13) != e10
| e21 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(e21,h4(op1(e10,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_1428,plain,
( e21 != h4(op1(e10,e13))
| e21 = h4(e10)
| op1(e10,e10) = e10
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_1426,refute_6_1427]) ).
cnf(refute_6_1429,plain,
( e21 = h4(e10)
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1411,refute_6_1428]) ).
cnf(refute_6_1430,plain,
( e21 != h4(e10)
| h4(e10) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_6_1431,plain,
e21 != h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_6_1430,refute_6_270]) ).
cnf(refute_6_1432,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_6_1429,refute_6_1431]) ).
cnf(refute_6_1433,plain,
( e10 != op1(e11,e11)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_6_1434,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_1432,refute_6_1433]) ).
cnf(refute_6_1435,plain,
( e10 != op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_6_1434,refute_6_1424]) ).
cnf(refute_6_1436,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_6_290]) ).
cnf(refute_6_1437,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_6_1438,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_1437]) ).
cnf(refute_6_1439,plain,
( op1(e13,e10) != e13
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_1436,refute_6_1438]) ).
cnf(refute_6_1440,plain,
e10 != e13,
inference(canonicalize,[],[normalize_6_291]) ).
cnf(refute_6_1441,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_1442,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_1441,refute_6_1440]) ).
cnf(refute_6_1443,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_6_1439,refute_6_1442]) ).
cnf(refute_6_1444,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_6_1445,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_415,refute_6_1444]) ).
cnf(refute_6_1446,plain,
( op1(e13,e10) != e13
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_1443,refute_6_1445]) ).
cnf(refute_6_1447,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_6_1446,refute_6_1117]) ).
cnf(refute_6_1448,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_6_292]) ).
cnf(refute_6_1449,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_6_1448,refute_6_1394]) ).
cnf(refute_6_1450,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_6_1449,refute_6_1401]) ).
cnf(refute_6_1451,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1452,plain,
( e13 != e13
| op1(e13,e10) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_6_1450,refute_6_1451]) ).
cnf(refute_6_1453,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_6_1452,refute_6_1447]) ).
cnf(refute_6_1454,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_1453]) ).
cnf(refute_6_1455,plain,
( e10 != e10
| op1(e11,e11) != e10
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1456,plain,
( e10 != e10
| e10 = op1(e11,e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_1454,refute_6_1455]) ).
cnf(refute_6_1457,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_6_1456,refute_6_1435]) ).
cnf(refute_6_1458,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_725,refute_6_1457]) ).
cnf(refute_6_1459,plain,
( h4(op1(e10,e10)) != op2(e22,h4(e10))
| op1(e10,e10) != e10
| h4(e10) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_1460,plain,
( h4(op1(e10,e10)) != op2(e22,h4(e10))
| h4(e10) = op2(e22,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_1458,refute_6_1459]) ).
cnf(refute_6_1461,plain,
( h4(e10) = e20
| h4(e10) = op2(e22,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) )],[refute_6_1423,refute_6_1460]) ).
cnf(refute_6_1462,plain,
( h4(e10) != e22
| h4(e10) != op2(e22,h4(e10))
| e22 = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e22,h4(e10))) ),[0],$fot(e22)]]) ).
cnf(refute_6_1463,plain,
( h4(e10) != op2(e22,h4(e10))
| e22 = op2(e22,h4(e10))
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1420,refute_6_1462]) ).
cnf(refute_6_1464,plain,
( e22 = op2(e22,h4(e10))
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,h4(e10))) )],[refute_6_1461,refute_6_1463]) ).
cnf(refute_6_1465,plain,
( e22 != op2(e22,h4(e10))
| h4(e10) != e22
| e22 = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e22,op2(e22,h4(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_1466,plain,
( e22 != op2(e22,h4(e10))
| e22 = op2(e22,e22)
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1420,refute_6_1465]) ).
cnf(refute_6_1467,plain,
( e22 = op2(e22,e22)
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,h4(e10))) )],[refute_6_1464,refute_6_1466]) ).
cnf(refute_6_1468,plain,
( e22 != op2(e22,e22)
| op2(e22,e22) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_6_1469,plain,
( e22 != op2(e22,e22)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_1468]) ).
cnf(refute_6_1470,plain,
( e22 = e23
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e22)) )],[refute_6_1467,refute_6_1469]) ).
cnf(refute_6_1471,plain,
( h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_1470,refute_6_19]) ).
cnf(refute_6_1472,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_1205]) ).
cnf(refute_6_1473,plain,
( h4(op1(e10,e10)) = op2(e20,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_1149,refute_6_1472]) ).
cnf(refute_6_1474,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| op1(e10,e10) != e10
| h4(e10) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_1475,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| h4(e10) = op2(e20,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_1458,refute_6_1474]) ).
cnf(refute_6_1476,plain,
( h4(e10) = op2(e20,h4(e10))
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e20,h4(e10))) )],[refute_6_1473,refute_6_1475]) ).
cnf(refute_6_1477,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,h4(e10))
| h4(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_1478,plain,
( h4(e10) != op2(e20,h4(e10))
| h4(e10) = op2(e20,e20)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_1477]) ).
cnf(refute_6_1479,plain,
( h4(e10) = op2(e20,e20)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,h4(e10))) )],[refute_6_1476,refute_6_1478]) ).
cnf(refute_6_1480,plain,
( h4(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_1481,plain,
( h4(e10) != op2(e20,e20)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1480]) ).
cnf(refute_6_1482,plain,
( h4(e10) = h1(e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e20)) )],[refute_6_1479,refute_6_1481]) ).
cnf(refute_6_1483,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_1484,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_1482,refute_6_1483]) ).
cnf(refute_6_1485,plain,
( h4(op1(e10,e12)) = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1484]) ).
cnf(refute_6_1486,plain,
( h4(e10) != e20
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1487,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_1486]) ).
cnf(refute_6_1488,plain,
( h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1487]) ).
cnf(refute_6_1489,plain,
( h4(op1(e10,e12)) != op2(e20,e23)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| op2(e20,e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_6_1490,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| op2(e20,e23) = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e23)) )],[refute_6_1488,refute_6_1489]) ).
cnf(refute_6_1491,plain,
( op2(e20,e23) = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_6_1485,refute_6_1490]) ).
cnf(refute_6_1492,plain,
( op2(e20,e23) != e22
| op2(e22,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1493,plain,
( op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_506,refute_6_1492]) ).
cnf(refute_6_1494,plain,
( op2(e20,e23) != e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_6_1493,refute_6_606]) ).
cnf(refute_6_1495,plain,
( h1(e13) != e20
| op2(e20,e23) != e20
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1496,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e23)
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_618,refute_6_1495]) ).
cnf(refute_6_1497,plain,
( h1(e13) != e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_6_1496,refute_6_490]) ).
cnf(refute_6_1498,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1499,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_547,refute_6_1498]) ).
cnf(refute_6_1500,plain,
( h1(e13) != e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_6_1499,refute_6_536]) ).
cnf(refute_6_1501,plain,
( op1(e10,e11) != e13
| op1(e10,e13) != e13
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1502,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e10,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1402,refute_6_1501]) ).
cnf(refute_6_1503,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_6_1502,refute_6_855]) ).
cnf(refute_6_1504,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_6_293]) ).
cnf(refute_6_1505,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_6_1504,refute_6_1394]) ).
cnf(refute_6_1506,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_6_1505,refute_6_1401]) ).
cnf(refute_6_1507,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_6_294]) ).
cnf(refute_6_1508,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_295]) ).
cnf(refute_6_1509,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1510,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_330,refute_6_1509]) ).
cnf(refute_6_1511,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_6_1510,refute_6_1508]) ).
cnf(refute_6_1512,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_6_1507,refute_6_1511]) ).
cnf(refute_6_1513,plain,
( op1(e13,e13) != e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,op1(e13,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_1512,refute_6_1387]) ).
cnf(refute_6_1514,plain,
( op1(e13,e13) != e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_6_1513,refute_6_1506]) ).
cnf(refute_6_1515,plain,
( e11 != e11
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_1391,refute_6_1514]) ).
cnf(refute_6_1516,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1515]) ).
cnf(refute_6_1517,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e13
| h4(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1518,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e13) = h2(e11)
| op1(e10,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_1516,refute_6_1517]) ).
cnf(refute_6_1519,plain,
( h4(e13) = h2(e11)
| op1(e10,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_708,refute_6_1518]) ).
cnf(refute_6_1520,plain,
( h4(e13) != e21
| h4(e13) != h2(e11)
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1521,plain,
( h4(e13) != h2(e11)
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_1520]) ).
cnf(refute_6_1522,plain,
( e21 = h2(e11)
| op1(e10,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e11)) )],[refute_6_1519,refute_6_1521]) ).
cnf(refute_6_1523,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_1524,plain,
( e13 != e13
| e21 = h2(e11)
| op1(e10,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_1522,refute_6_1523]) ).
cnf(refute_6_1525,plain,
( e13 != e13
| e21 = h2(e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_1524,refute_6_1503]) ).
cnf(refute_6_1526,plain,
( e21 = h2(e11)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_774,refute_6_1525]) ).
cnf(refute_6_1527,plain,
( h1(e13) != e22
| h1(e13) = op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_547,refute_6_567]) ).
cnf(refute_6_1528,plain,
( h1(e13) != e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_6_1527,refute_6_536]) ).
cnf(refute_6_1529,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_587,refute_6_592]) ).
cnf(refute_6_1530,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1529,refute_6_1528]) ).
cnf(refute_6_1531,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1530]) ).
cnf(refute_6_1532,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1531,refute_6_1178]) ).
cnf(refute_6_1533,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1532,refute_6_1177]) ).
cnf(refute_6_1534,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1533]) ).
cnf(refute_6_1535,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1536,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e11) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1534,refute_6_1535]) ).
cnf(refute_6_1537,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e11) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1536]) ).
cnf(refute_6_1538,plain,
( h2(e11) != op2(e20,h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_1539,plain,
( h2(e11) != op2(e20,h2(e13))
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e11) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1534,refute_6_1538]) ).
cnf(refute_6_1540,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e11) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) )],[refute_6_1537,refute_6_1539]) ).
cnf(refute_6_1541,plain,
( h2(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h2(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_1542,plain,
( h2(e11) != op2(e20,e20)
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1541]) ).
cnf(refute_6_1543,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e20)) )],[refute_6_1540,refute_6_1542]) ).
cnf(refute_6_1544,plain,
( e21 != h2(e11)
| h2(e11) != h1(e13)
| e21 = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h1(e13)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_1545,plain,
( e21 != h2(e11)
| e21 = h1(e13)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_6_1543,refute_6_1544]) ).
cnf(refute_6_1546,plain,
( e21 = h1(e13)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1526,refute_6_1545]) ).
cnf(refute_6_1547,plain,
( h1(e13) != e21
| e21 = h1(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(e21))]]) ).
cnf(refute_6_1548,plain,
( e21 = h1(e13)
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_1546,refute_6_1547]) ).
cnf(refute_6_1549,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_6_296]) ).
cnf(refute_6_1550,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_1549,refute_6_583]) ).
cnf(refute_6_1551,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_1550,refute_6_668]) ).
cnf(refute_6_1552,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_6_1551,refute_6_17]) ).
cnf(refute_6_1553,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_6_1554,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_8,refute_6_1553]) ).
cnf(refute_6_1555,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_1552,refute_6_1554]) ).
cnf(refute_6_1556,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_1555,refute_6_21]) ).
cnf(refute_6_1557,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_1558,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_45,refute_6_1557]) ).
cnf(refute_6_1559,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_6_1556,refute_6_1558]) ).
cnf(refute_6_1560,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_1559,refute_6_275]) ).
cnf(refute_6_1561,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_241,refute_6_455]) ).
cnf(refute_6_1562,plain,
( op2(e20,e22) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_6_1561,refute_6_216]) ).
cnf(refute_6_1563,plain,
( h1(e13) != e21
| h1(e13) = op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_224,refute_6_574]) ).
cnf(refute_6_1564,plain,
( h1(e13) != e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_6_1563,refute_6_573]) ).
cnf(refute_6_1565,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_589,refute_6_1564]) ).
cnf(refute_6_1566,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1565]) ).
cnf(refute_6_1567,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_1566,refute_6_458]) ).
cnf(refute_6_1568,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_1567,refute_6_1562]) ).
cnf(refute_6_1569,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1568]) ).
cnf(refute_6_1570,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_1571,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1569,refute_6_1570]) ).
cnf(refute_6_1572,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1571,refute_6_1560]) ).
cnf(refute_6_1573,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1572]) ).
cnf(refute_6_1574,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e22
| h2(e11) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_1575,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e11) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1573,refute_6_1574]) ).
cnf(refute_6_1576,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e11) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1575]) ).
cnf(refute_6_1577,plain,
( h2(e11) != op2(e22,h2(e13))
| h2(e13) != e22
| h2(e11) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e22,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_1578,plain,
( h2(e11) != op2(e22,h2(e13))
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e11) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1573,refute_6_1577]) ).
cnf(refute_6_1579,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e11) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h2(e13))) )],[refute_6_1576,refute_6_1578]) ).
cnf(refute_6_1580,plain,
( h2(e11) != op2(e22,e22)
| op2(e22,e22) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_6_1581,plain,
( h2(e11) != op2(e22,e22)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_1580]) ).
cnf(refute_6_1582,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e22)) )],[refute_6_1579,refute_6_1581]) ).
cnf(refute_6_1583,plain,
( e21 != h2(e11)
| h2(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_1584,plain,
( e21 != h2(e11)
| e21 = e23
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_1582,refute_6_1583]) ).
cnf(refute_6_1585,plain,
( e21 = e23
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1526,refute_6_1584]) ).
cnf(refute_6_1586,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_1585,refute_6_49]) ).
cnf(refute_6_1587,plain,
( e21 != h1(e13)
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_1588,plain,
( e21 != h1(e13)
| e21 = e22
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1586,refute_6_1587]) ).
cnf(refute_6_1589,plain,
( e21 = e22
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_6_1548,refute_6_1588]) ).
cnf(refute_6_1590,plain,
( h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_1589,refute_6_275]) ).
cnf(refute_6_1591,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_1592,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1590,refute_6_1591]) ).
cnf(refute_6_1593,plain,
( e23 != e23
| h1(e13) = e20
| op2(e23,e20) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1592,refute_6_1500]) ).
cnf(refute_6_1594,plain,
( h1(e13) = e20
| op2(e23,e20) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1593]) ).
cnf(refute_6_1595,plain,
( h1(e13) != e22
| h1(e13) = e20
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_1594,refute_6_567]) ).
cnf(refute_6_1596,plain,
( h1(e13) != e22
| h1(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_6_1595,refute_6_536]) ).
cnf(refute_6_1597,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_1598,plain,
( h1(e13) != e22
| e22 = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1596,refute_6_1597]) ).
cnf(refute_6_1599,plain,
( h1(e13) != e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_1598,refute_6_932]) ).
cnf(refute_6_1600,plain,
( h1(e13) != e23
| op2(e20,e23) != e23
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1601,plain,
( h1(e13) != e23
| h1(e13) = op2(e20,e23)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_304,refute_6_1600]) ).
cnf(refute_6_1602,plain,
( h1(e13) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_6_1601,refute_6_490]) ).
cnf(refute_6_1603,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_587,refute_6_1591]) ).
cnf(refute_6_1604,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1603,refute_6_1602]) ).
cnf(refute_6_1605,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1604]) ).
cnf(refute_6_1606,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1605,refute_6_1412]) ).
cnf(refute_6_1607,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h4(op1(e10,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1606]) ).
cnf(refute_6_1608,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_6_1607,refute_6_1415]) ).
cnf(refute_6_1609,plain,
( e21 = op2(e23,e21)
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1411,refute_6_1608]) ).
cnf(refute_6_1610,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_6_1609,refute_6_1419]) ).
cnf(refute_6_1611,plain,
( h1(e13) != e21
| h1(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_1612,plain,
( h1(e13) != e23
| e21 = e23
| h1(e13) = e20
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_1610,refute_6_1611]) ).
cnf(refute_6_1613,plain,
( e21 = e23
| h1(e13) = e20
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1590,refute_6_1612]) ).
cnf(refute_6_1614,plain,
( h1(e13) = e20
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_1613,refute_6_49]) ).
cnf(refute_6_1615,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1614,refute_6_592]) ).
cnf(refute_6_1616,plain,
( e22 != e22
| h1(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1615,refute_6_1599]) ).
cnf(refute_6_1617,plain,
( h1(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1616]) ).
cnf(refute_6_1618,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1617,refute_6_83]) ).
cnf(refute_6_1619,plain,
( e20 != e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1618,refute_6_1497]) ).
cnf(refute_6_1620,plain,
( op2(e20,e23) = e22
| op2(e20,e23) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1619]) ).
cnf(refute_6_1621,plain,
( e22 != e22
| op2(e20,e23) != e22
| op2(e20,e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_1622,plain,
( e22 != e22
| op2(e20,e23) = e22
| op2(e20,e23) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_1620,refute_6_1621]) ).
cnf(refute_6_1623,plain,
( e22 != e22
| op2(e20,e23) = e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_1622,refute_6_1494]) ).
cnf(refute_6_1624,plain,
( op2(e20,e23) = e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1623]) ).
cnf(refute_6_1625,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_1318]) ).
cnf(refute_6_1626,plain,
( e20 != e20
| op2(e22,e23) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1625,refute_6_1317]) ).
cnf(refute_6_1627,plain,
( op2(e22,e23) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1626]) ).
cnf(refute_6_1628,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_1629,plain,
( op2(e22,e23) != e20
| e22 = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_1627,refute_6_1628]) ).
cnf(refute_6_1630,plain,
( e22 = e20
| op2(e20,e23) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_1624,refute_6_1629]) ).
cnf(refute_6_1631,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_1630,refute_6_932]) ).
cnf(refute_6_1632,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(h1(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_6_1633,plain,
( op2(e20,e23) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_1631,refute_6_1632]) ).
cnf(refute_6_1634,plain,
( e23 = op2(h1(e13),e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(h1(e13),e23)) )],[refute_6_1491,refute_6_1633]) ).
cnf(refute_6_1635,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_6_297]) ).
cnf(refute_6_1636,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_1635,refute_6_653]) ).
cnf(refute_6_1637,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_1636,refute_6_357]) ).
cnf(refute_6_1638,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_1639,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_166,refute_6_1638]) ).
cnf(refute_6_1640,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_1637,refute_6_1639]) ).
cnf(refute_6_1641,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_1640,refute_6_280]) ).
cnf(refute_6_1642,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1641,refute_6_1570]) ).
cnf(refute_6_1643,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1642,refute_6_1560]) ).
cnf(refute_6_1644,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1643]) ).
cnf(refute_6_1645,plain,
( op2(e20,e21) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_1644,refute_6_463]) ).
cnf(refute_6_1646,plain,
( op2(e20,e21) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_6_1645,refute_6_453]) ).
cnf(refute_6_1647,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1648,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_1647]) ).
cnf(refute_6_1649,plain,
( h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1648]) ).
cnf(refute_6_1650,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_6_1651,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_6_1649,refute_6_1650]) ).
cnf(refute_6_1652,plain,
( e21 = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1411,refute_6_1651]) ).
cnf(refute_6_1653,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_1654,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_1652,refute_6_1653]) ).
cnf(refute_6_1655,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1654,refute_6_480]) ).
cnf(refute_6_1656,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1655,refute_6_1646]) ).
cnf(refute_6_1657,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1656]) ).
cnf(refute_6_1658,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_6_298]) ).
cnf(refute_6_1659,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_1660,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_54,refute_6_1659]) ).
cnf(refute_6_1661,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_6_1660,refute_6_1658]) ).
cnf(refute_6_1662,plain,
( h1(e13) != e20
| op2(e21,e20) != e20
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1663,plain,
( h1(e13) != e20
| h1(e13) = op2(e21,e20)
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_6_1200,refute_6_1662]) ).
cnf(refute_6_1664,plain,
( h1(e13) != e20
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_6_1663,refute_6_1153]) ).
cnf(refute_6_1665,plain,
( e20 != e20
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1618,refute_6_1664]) ).
cnf(refute_6_1666,plain,
( h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1665]) ).
cnf(refute_6_1667,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h2(e13) = e20
| h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1666,refute_6_1647]) ).
cnf(refute_6_1668,plain,
( h2(e13) = e20
| h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1667]) ).
cnf(refute_6_1669,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e20,e21)
| h2(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_6_1668,refute_6_1650]) ).
cnf(refute_6_1670,plain,
( e21 = op2(e20,e21)
| h2(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1411,refute_6_1669]) ).
cnf(refute_6_1671,plain,
( h2(e13) = e20
| op2(e20,e21) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_1670,refute_6_1653]) ).
cnf(refute_6_1672,plain,
( e21 != h2(e13)
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_1673,plain,
( e21 != h2(e13)
| h2(e13) = e20
| op2(e20,e21) = h2(e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1671,refute_6_1672]) ).
cnf(refute_6_1674,plain,
( e21 != h2(e13)
| h2(e13) = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_6_1673,refute_6_1661]) ).
cnf(refute_6_1675,plain,
( e21 != e21
| e21 != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(e21,e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_1676,plain,
( e21 != h2(e13)
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1675]) ).
cnf(refute_6_1677,plain,
( e21 != h2(e13)
| h2(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1676,refute_6_679]) ).
cnf(refute_6_1678,plain,
( e21 != h2(e13)
| e21 = e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1674,refute_6_1677]) ).
cnf(refute_6_1679,plain,
( e21 != h2(e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_1678,refute_6_282]) ).
cnf(refute_6_1680,plain,
( h2(e13) != e20
| h2(e13) = h4(e10)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1471,refute_6_899]) ).
cnf(refute_6_1681,plain,
( h2(e13) != e20
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_6_1680,refute_6_812]) ).
cnf(refute_6_1682,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e22
| h2(e11) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_1683,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_672,refute_6_1682]) ).
cnf(refute_6_1684,plain,
( h2(e11) = op2(h2(e13),e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1683]) ).
cnf(refute_6_1685,plain,
( e21 != h2(e11)
| h2(e11) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_1686,plain,
( h2(e11) = e21
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1526,refute_6_1685]) ).
cnf(refute_6_1687,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e13),e22)
| e21 = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e22)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1688,plain,
( h2(e11) != op2(h2(e13),e22)
| e21 = op2(h2(e13),e22)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1686,refute_6_1687]) ).
cnf(refute_6_1689,plain,
( e21 = op2(h2(e13),e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e22)) )],[refute_6_1684,refute_6_1688]) ).
cnf(refute_6_1690,plain,
( e21 != op2(h2(e13),e22)
| h2(e13) != e22
| e21 = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e13),e22)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_1691,plain,
( e21 != op2(h2(e13),e22)
| e21 = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_672,refute_6_1690]) ).
cnf(refute_6_1692,plain,
( e21 = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e13),e22)) )],[refute_6_1689,refute_6_1691]) ).
cnf(refute_6_1693,plain,
( e21 != op2(e22,e22)
| op2(e22,e22) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_6_1694,plain,
( e21 != op2(e22,e22)
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_1693]) ).
cnf(refute_6_1695,plain,
( e21 = e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e22)) )],[refute_6_1692,refute_6_1694]) ).
cnf(refute_6_1696,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_1695,refute_6_49]) ).
cnf(refute_6_1697,plain,
( e20 != e20
| h2(e13) != e20
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_1698,plain,
( e20 != e20
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1696,refute_6_1697]) ).
cnf(refute_6_1699,plain,
( e20 != e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1698,refute_6_1681]) ).
cnf(refute_6_1700,plain,
( h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1699]) ).
cnf(refute_6_1701,plain,
( e21 != e21
| h2(e13) != e21
| e21 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1702,plain,
( e21 != e21
| e21 = h2(e13)
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1700,refute_6_1701]) ).
cnf(refute_6_1703,plain,
( e21 != e21
| h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_6_1702,refute_6_1679]) ).
cnf(refute_6_1704,plain,
( h2(e13) = e23
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1703]) ).
cnf(refute_6_1705,plain,
( h2(e13) != e22
| h2(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_1706,plain,
( h2(e13) != e22
| e23 = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_1704,refute_6_1705]) ).
cnf(refute_6_1707,plain,
( e23 = e22
| h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1657,refute_6_1706]) ).
cnf(refute_6_1708,plain,
( h1(e13) = e22
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_1707,refute_6_21]) ).
cnf(refute_6_1709,plain,
( e23 != op2(h1(e13),e23)
| h1(e13) != e22
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(h1(e13),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_1710,plain,
( e23 != op2(h1(e13),e23)
| e23 = op2(e22,e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1708,refute_6_1709]) ).
cnf(refute_6_1711,plain,
( e23 = op2(e22,e23)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e23,op2(h1(e13),e23)) )],[refute_6_1634,refute_6_1710]) ).
cnf(refute_6_1712,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_6_1711,refute_6_296]) ).
cnf(refute_6_1713,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_6_1712,refute_6_1381]) ).
cnf(refute_6_1714,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_1713,refute_6_826]) ).
cnf(refute_6_1715,plain,
( h4(e12) = op2(h4(e10),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1714]) ).
cnf(refute_6_1716,plain,
( e23 = h4(op1(e10,e12))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_6_1715,refute_6_835]) ).
cnf(refute_6_1717,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_1718,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_1713,refute_6_1717]) ).
cnf(refute_6_1719,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_1718,refute_6_311]) ).
cnf(refute_6_1720,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1721,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_372,refute_6_1720]) ).
cnf(refute_6_1722,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_1721,refute_6_311]) ).
cnf(refute_6_1723,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_6_1724,plain,
( e11 != e11
| h4(e10) = e20
| h4(e10) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_840,refute_6_1723]) ).
cnf(refute_6_1725,plain,
( e11 != e11
| h4(e10) = e20
| h4(e10) = e22
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1724,refute_6_1722]) ).
cnf(refute_6_1726,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1725]) ).
cnf(refute_6_1727,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_6_1728,plain,
( e12 != e12
| e12 = op1(e11,e12)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1726,refute_6_1727]) ).
cnf(refute_6_1729,plain,
( e12 != e12
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_6_1728,refute_6_1719]) ).
cnf(refute_6_1730,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_779,refute_6_1729]) ).
cnf(refute_6_1731,plain,
( h4(e10) != e22
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_1732,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e10) = e20
| h4(op1(e10,e12)) = op2(e22,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1730,refute_6_1731]) ).
cnf(refute_6_1733,plain,
( h4(e10) = e20
| h4(op1(e10,e12)) = op2(e22,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1732]) ).
cnf(refute_6_1734,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != op2(e22,e23)
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_6_1735,plain,
( e23 != h4(op1(e10,e12))
| e23 = op2(e22,e23)
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e22,e23)) )],[refute_6_1733,refute_6_1734]) ).
cnf(refute_6_1736,plain,
( e23 = op2(e22,e23)
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_6_1716,refute_6_1735]) ).
cnf(refute_6_1737,plain,
( h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_6_1736,refute_6_296]) ).
cnf(refute_6_1738,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1737,refute_6_1486]) ).
cnf(refute_6_1739,plain,
( h4(op1(e10,e12)) = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1738]) ).
cnf(refute_6_1740,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != op2(e20,e23)
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e23)) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_6_1741,plain,
( e23 != h4(op1(e10,e12))
| e23 = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e23)) )],[refute_6_1739,refute_6_1740]) ).
cnf(refute_6_1742,plain,
( e23 = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_6_1716,refute_6_1741]) ).
cnf(refute_6_1743,plain,
( e23 != op2(e20,e23)
| op2(e20,e23) = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_1744,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_6_1742,refute_6_1743]) ).
cnf(refute_6_1745,plain,
( h1(e13) != e23
| h1(e13) = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_1744,refute_6_1600]) ).
cnf(refute_6_1746,plain,
( h1(e13) != e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_6_1745,refute_6_490]) ).
cnf(refute_6_1747,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h2(e13) = e21
| h4(e10) = e20
| h4(op1(e10,e12)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_846,refute_6_1731]) ).
cnf(refute_6_1748,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(op1(e10,e12)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_6_319,refute_6_1747]) ).
cnf(refute_6_1749,plain,
( h4(e10) != e22
| h4(e10) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_506,refute_6_1322]) ).
cnf(refute_6_1750,plain,
( h4(e10) != e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_6_1749,refute_6_1314]) ).
cnf(refute_6_1751,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_846,refute_6_1345]) ).
cnf(refute_6_1752,plain,
( e22 != e22
| h2(e13) = e21
| h4(e10) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_1751,refute_6_1750]) ).
cnf(refute_6_1753,plain,
( h2(e13) = e21
| h4(e10) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1752]) ).
cnf(refute_6_1754,plain,
( h4(op1(e10,e12)) != op2(e22,e23)
| op2(e22,e23) != e20
| h4(op1(e10,e12)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e20) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_6_1755,plain,
( h4(op1(e10,e12)) != op2(e22,e23)
| h2(e13) = e21
| h4(e10) = e20
| h4(op1(e10,e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_1753,refute_6_1754]) ).
cnf(refute_6_1756,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(op1(e10,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e22,e23)) )],[refute_6_1748,refute_6_1755]) ).
cnf(refute_6_1757,plain,
( h4(op1(e10,e12)) != e20
| op1(e10,e12) != e12
| h4(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e20) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_1758,plain,
( h4(op1(e10,e12)) != e20
| h4(e12) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_1713,refute_6_1757]) ).
cnf(refute_6_1759,plain,
( h2(e13) = e21
| h4(e10) = e20
| h4(e12) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_6_1756,refute_6_1758]) ).
cnf(refute_6_1760,plain,
( h4(e12) != e20
| h4(e12) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_1761,plain,
( h4(e12) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_179,refute_6_1760]) ).
cnf(refute_6_1762,plain,
( e23 = e20
| h2(e13) = e21
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_6_1759,refute_6_1761]) ).
cnf(refute_6_1763,plain,
( h2(e13) = e21
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_1762,refute_6_1172]) ).
cnf(refute_6_1764,plain,
( h2(e13) != e20
| h2(e13) = e21
| h2(e13) = h4(e10)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1763,refute_6_899]) ).
cnf(refute_6_1765,plain,
( h2(e13) != e20
| h2(e13) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_6_1764,refute_6_812]) ).
cnf(refute_6_1766,plain,
( h2(e13) != e20
| e20 = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1765,refute_6_599]) ).
cnf(refute_6_1767,plain,
( h2(e13) != e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_1766,refute_6_280]) ).
cnf(refute_6_1768,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_6_299]) ).
cnf(refute_6_1769,plain,
( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_6_1045,refute_6_1768]) ).
cnf(refute_6_1770,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_6_300]) ).
cnf(refute_6_1771,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1770,refute_6_1086]) ).
cnf(refute_6_1772,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_1771,refute_6_417]) ).
cnf(refute_6_1773,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1772,refute_6_419]) ).
cnf(refute_6_1774,plain,
( op1(e11,e13) != e13
| op1(e11,op1(e11,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_1775,plain,
( op1(e10,e13) = e13
| op1(e11,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1773,refute_6_1774]) ).
cnf(refute_6_1776,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),e13) )],[refute_6_1775,refute_6_1769]) ).
cnf(refute_6_1777,plain,
( ~ definitionFOFtoCNF_8
| op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_6_1380,refute_6_1776]) ).
cnf(refute_6_1778,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_6_1712,refute_6_1777]) ).
cnf(refute_6_1779,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1778,refute_6_1403]) ).
cnf(refute_6_1780,plain,
( h4(e13) = op2(h4(e10),e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1779]) ).
cnf(refute_6_1781,plain,
( e21 = h4(op1(e10,e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) )],[refute_6_1780,refute_6_1410]) ).
cnf(refute_6_1782,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_6_301]) ).
cnf(refute_6_1783,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_1782,refute_6_586]) ).
cnf(refute_6_1784,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_302]) ).
cnf(refute_6_1785,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1786,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_15,refute_6_1785]) ).
cnf(refute_6_1787,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_6_1786,refute_6_1784]) ).
cnf(refute_6_1788,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_6_1783,refute_6_1787]) ).
cnf(refute_6_1789,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1788,refute_6_1178]) ).
cnf(refute_6_1790,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1789,refute_6_1177]) ).
cnf(refute_6_1791,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1790]) ).
cnf(refute_6_1792,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_1793,plain,
( op2(e21,e20) != e23
| e20 = e23
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_6_1200,refute_6_1792]) ).
cnf(refute_6_1794,plain,
( e20 = e23
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_6_1791,refute_6_1793]) ).
cnf(refute_6_1795,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_1794,refute_6_1170]) ).
cnf(refute_6_1796,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1795,refute_6_1647]) ).
cnf(refute_6_1797,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(op1(e10,e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1796]) ).
cnf(refute_6_1798,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_303]) ).
cnf(refute_6_1799,plain,
( e22 != op2(e23,e21)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_1800,plain,
( e22 != op2(e23,e21)
| op2(e23,e20) = e23
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_547,refute_6_1799]) ).
cnf(refute_6_1801,plain,
( e22 != op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_6_1800,refute_6_537]) ).
cnf(refute_6_1802,plain,
( e22 != e22
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_6_560,refute_6_1801]) ).
cnf(refute_6_1803,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1802]) ).
cnf(refute_6_1804,plain,
( op2(e20,e21) != e23
| op2(e23,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1805,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_1803,refute_6_1804]) ).
cnf(refute_6_1806,plain,
( op2(e20,e21) != e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_6_1805,refute_6_1798]) ).
cnf(refute_6_1807,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_6_304]) ).
cnf(refute_6_1808,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_1807,refute_6_586]) ).
cnf(refute_6_1809,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_1808,refute_6_222]) ).
cnf(refute_6_1810,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_6_305]) ).
cnf(refute_6_1811,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_1810,refute_6_75]) ).
cnf(refute_6_1812,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_1811,refute_6_169]) ).
cnf(refute_6_1813,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_1814,plain,
( op2(e20,e23) != e23
| e20 = e23
| h1(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_1812,refute_6_1813]) ).
cnf(refute_6_1815,plain,
( e20 = e23
| h1(e13) = e20
| h1(e13) = e23
| op2(e20,e21) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_1809,refute_6_1814]) ).
cnf(refute_6_1816,plain,
( h1(e13) = e20
| h1(e13) = e23
| op2(e20,e21) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_1815,refute_6_1170]) ).
cnf(refute_6_1817,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_1818,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| op2(e20,e21) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_1816,refute_6_1817]) ).
cnf(refute_6_1819,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| op2(e20,e21) = e20
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_1818,refute_6_1806]) ).
cnf(refute_6_1820,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_1819,refute_6_1177]) ).
cnf(refute_6_1821,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1820]) ).
cnf(refute_6_1822,plain,
( h4(op1(e10,e13)) != op2(e20,e21)
| op2(e20,e21) != e20
| h4(op1(e10,e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e20) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_6_1823,plain,
( h4(op1(e10,e13)) != op2(e20,e21)
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_6_1821,refute_6_1822]) ).
cnf(refute_6_1824,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_6_1797,refute_6_1823]) ).
cnf(refute_6_1825,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_6_1826,plain,
( e21 != h4(op1(e10,e13))
| e21 = e20
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_6_1824,refute_6_1825]) ).
cnf(refute_6_1827,plain,
( e21 = e20
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1781,refute_6_1826]) ).
cnf(refute_6_1828,plain,
( h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_1827,refute_6_282]) ).
cnf(refute_6_1829,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1828,refute_6_1697]) ).
cnf(refute_6_1830,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1829,refute_6_1767]) ).
cnf(refute_6_1831,plain,
( h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1830]) ).
cnf(refute_6_1832,plain,
( e23 != e23
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1831,refute_6_1591]) ).
cnf(refute_6_1833,plain,
( e23 != e23
| h1(e13) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_1832,refute_6_1746]) ).
cnf(refute_6_1834,plain,
( h1(e13) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_384,refute_6_1833]) ).
cnf(refute_6_1835,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1836,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1834,refute_6_1835]) ).
cnf(refute_6_1837,plain,
( h1(e11) = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_6_1022,refute_6_1836]) ).
cnf(refute_6_1838,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_1839,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1834,refute_6_1838]) ).
cnf(refute_6_1840,plain,
( h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_6_1022,refute_6_1839]) ).
cnf(refute_6_1841,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_6_306]) ).
cnf(refute_6_1842,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_6_1843,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_1844,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_6_1842,refute_6_1843]) ).
cnf(refute_6_1845,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1844]) ).
cnf(refute_6_1846,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_6_1847,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_6_1845,refute_6_1846]) ).
cnf(refute_6_1848,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_6_1841,refute_6_1847]) ).
cnf(refute_6_1849,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h1(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_6_1850,plain,
op2(h1(e13),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_6_1848,refute_6_1849]) ).
cnf(refute_6_1851,plain,
( h1(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h1(e10)
| h1(e11) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e10)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_6_1852,plain,
( h1(e11) != op2(h1(e13),e20)
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e10)) )],[refute_6_1850,refute_6_1851]) ).
cnf(refute_6_1853,plain,
( h1(e11) = h1(e10)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e20)) )],[refute_6_1840,refute_6_1852]) ).
cnf(refute_6_1854,plain,
( h1(e11) != h1(e10)
| h1(e11) != op2(e20,h1(e13))
| h1(e10) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(h1(e10))]]) ).
cnf(refute_6_1855,plain,
( h1(e11) != op2(e20,h1(e13))
| h1(e10) = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_6_1853,refute_6_1854]) ).
cnf(refute_6_1856,plain,
( h1(e10) = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_6_1837,refute_6_1855]) ).
cnf(refute_6_1857,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1858,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1834,refute_6_1857]) ).
cnf(refute_6_1859,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_6_1848,refute_6_1858]) ).
cnf(refute_6_1860,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_1861,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_65,refute_6_1860]) ).
cnf(refute_6_1862,plain,
( h1(e10) = h1(e13)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_6_1859,refute_6_1861]) ).
cnf(refute_6_1863,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_6_1864,plain,
( h1(e13) = h1(e10)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_6_1862,refute_6_1863]) ).
cnf(refute_6_1865,plain,
( h1(e13) != e20
| h1(e13) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_6_1866,plain,
( h1(e13) != e20
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_6_1864,refute_6_1865]) ).
cnf(refute_6_1867,plain,
( h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_1834,refute_6_1866]) ).
cnf(refute_6_1868,plain,
( h1(e10) != e20
| h1(e10) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_6_1869,plain,
( h1(e10) != op2(e20,h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_6_1867,refute_6_1868]) ).
cnf(refute_6_1870,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e13))) )],[refute_6_1856,refute_6_1869]) ).
cnf(refute_6_1871,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1737,refute_6_1647]) ).
cnf(refute_6_1872,plain,
( h4(op1(e10,e13)) = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_6_854,refute_6_1871]) ).
cnf(refute_6_1873,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e21)) )],[refute_6_1872,refute_6_1650]) ).
cnf(refute_6_1874,plain,
( e21 = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_6_1781,refute_6_1873]) ).
cnf(refute_6_1875,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_1874,refute_6_1653]) ).
cnf(refute_6_1876,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1875,refute_6_480]) ).
cnf(refute_6_1877,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1876,refute_6_1646]) ).
cnf(refute_6_1878,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1877]) ).
cnf(refute_6_1879,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_6_307]) ).
cnf(refute_6_1880,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_6_152,refute_6_1879]) ).
cnf(refute_6_1881,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_6_176,refute_6_1880]) ).
cnf(refute_6_1882,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_6_385,refute_6_1881]) ).
cnf(refute_6_1883,plain,
( op2(e21,e23) != e20
| ~ definitionFOFtoCNF_15
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_6_1333,refute_6_1882]) ).
cnf(refute_6_1884,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_1336,refute_6_1883]) ).
cnf(refute_6_1885,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| e20 = e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_6_1884,refute_6_1338]) ).
cnf(refute_6_1886,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_15
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_1885,refute_6_1170]) ).
cnf(refute_6_1887,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1737,refute_6_1318]) ).
cnf(refute_6_1888,plain,
( e20 != e20
| ~ definitionFOFtoCNF_15
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_1887,refute_6_1886]) ).
cnf(refute_6_1889,plain,
( ~ definitionFOFtoCNF_15
| h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1888]) ).
cnf(refute_6_1890,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1878,refute_6_914]) ).
cnf(refute_6_1891,plain,
( e22 != e22
| ~ definitionFOFtoCNF_23
| h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1890,refute_6_937]) ).
cnf(refute_6_1892,plain,
( ~ definitionFOFtoCNF_23
| h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1891]) ).
cnf(refute_6_1893,plain,
( h2(e13) != e21
| op2(e21,e22) != e21
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1894,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_241,refute_6_1893]) ).
cnf(refute_6_1895,plain,
( h2(e13) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_6_1894,refute_6_910]) ).
cnf(refute_6_1896,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e22,h2(e13))
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_672,refute_6_1574]) ).
cnf(refute_6_1897,plain,
( h2(e11) = op2(e22,h2(e13))
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1896]) ).
cnf(refute_6_1898,plain,
( h2(e11) != op2(e22,h2(e13))
| h2(e11) = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_672,refute_6_1577]) ).
cnf(refute_6_1899,plain,
( h2(e11) = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h2(e13))) )],[refute_6_1897,refute_6_1898]) ).
cnf(refute_6_1900,plain,
( h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e22)) )],[refute_6_1899,refute_6_1581]) ).
cnf(refute_6_1901,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_1902,plain,
( e21 != e21
| h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1900,refute_6_1901]) ).
cnf(refute_6_1903,plain,
( e21 != e21
| h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1902,refute_6_1895]) ).
cnf(refute_6_1904,plain,
( h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1903]) ).
cnf(refute_6_1905,plain,
( h2(e13) != e22
| h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e23
| h2(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_1904,refute_6_911]) ).
cnf(refute_6_1906,plain,
( h2(e13) != e22
| h2(e11) = e23
| h2(e13) = e20
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_6_1905,refute_6_910]) ).
cnf(refute_6_1907,plain,
( h2(e13) != e22
| e22 = e20
| h2(e11) = e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1906,refute_6_924]) ).
cnf(refute_6_1908,plain,
( h2(e13) != e22
| e22 = e20
| e22 = e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_1907,refute_6_928]) ).
cnf(refute_6_1909,plain,
( h2(e13) != e22
| e22 = e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_1908,refute_6_932]) ).
cnf(refute_6_1910,plain,
( h2(e13) != e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_1909,refute_6_19]) ).
cnf(refute_6_1911,plain,
( e22 != e22
| h1(e13) = e22
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1890,refute_6_1910]) ).
cnf(refute_6_1912,plain,
( h1(e13) = e22
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1911]) ).
cnf(refute_6_1913,plain,
( h2(e11) != e21
| h2(e11) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e23)]]) ).
cnf(refute_6_1914,plain,
( h2(e11) != e21
| e23 = e21
| h1(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_1912,refute_6_1913]) ).
cnf(refute_6_1915,plain,
( e23 = e21
| h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1145,refute_6_1914]) ).
cnf(refute_6_1916,plain,
( h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_1915,refute_6_357]) ).
cnf(refute_6_1917,plain,
( e20 != op2(e20,h1(e13))
| h1(e13) != e22
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e20,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_1918,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1916,refute_6_1917]) ).
cnf(refute_6_1919,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_6_1870,refute_6_1918]) ).
cnf(refute_6_1920,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_1921,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_1920,refute_6_169]) ).
cnf(refute_6_1922,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_1919,refute_6_1921]) ).
cnf(refute_6_1923,plain,
( h1(e13) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1922,refute_6_1892]) ).
cnf(refute_6_1924,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1923,refute_6_1917]) ).
cnf(refute_6_1925,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_6_1870,refute_6_1924]) ).
cnf(refute_6_1926,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_1925,refute_6_1921]) ).
cnf(refute_6_1927,plain,
( h2(e13) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_6_1926,refute_6_1889]) ).
cnf(refute_6_1928,plain,
( h2(e13) != e22
| e23 = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_1927,refute_6_1705]) ).
cnf(refute_6_1929,plain,
( e23 = e22
| h1(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1878,refute_6_1928]) ).
cnf(refute_6_1930,plain,
( h1(e13) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_1929,refute_6_21]) ).
cnf(refute_6_1931,plain,
( e20 != op2(e20,h1(e13))
| e20 = op2(e20,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_1930,refute_6_1917]) ).
cnf(refute_6_1932,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_6_1870,refute_6_1931]) ).
cnf(refute_6_1933,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_1932,refute_6_1921]) ).
cnf(refute_6_1934,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_1933,refute_6_1007]) ).
cnf(refute_6_1935,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1936,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_1934,refute_6_1935]) ).
cnf(refute_6_1937,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_6_1936,refute_6_387]) ).
cnf(refute_6_1938,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_6_308]) ).
cnf(refute_6_1939,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_433,refute_6_1938]) ).
cnf(refute_6_1940,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_443,refute_6_1939]) ).
cnf(refute_6_1941,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_6_1006,refute_6_1940]) ).
cnf(refute_6_1942,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_1933,refute_6_1941]) ).
cnf(refute_6_1943,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_1944,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1942,refute_6_1943]) ).
cnf(refute_6_1945,plain,
( e11 != e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1944,refute_6_1937]) ).
cnf(refute_6_1946,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1945]) ).
cnf(refute_6_1947,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1946,refute_6_937]) ).
cnf(refute_6_1948,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_6_309]) ).
cnf(refute_6_1949,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_6_647,refute_6_1948]) ).
cnf(refute_6_1950,plain,
( ~ definitionFOFtoCNF_23
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_6_662,refute_6_1949]) ).
cnf(refute_6_1951,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1946,refute_6_1950]) ).
cnf(refute_6_1952,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_672,refute_6_1137]) ).
cnf(refute_6_1953,plain,
( h2(e11) = op2(e23,h2(e13))
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_103,refute_6_1952]) ).
cnf(refute_6_1954,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_672,refute_6_1140]) ).
cnf(refute_6_1955,plain,
( h2(e11) = op2(e23,e23)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_6_1953,refute_6_1954]) ).
cnf(refute_6_1956,plain,
( h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_6_1955,refute_6_1144]) ).
cnf(refute_6_1957,plain,
( e21 != e21
| h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1956,refute_6_1901]) ).
cnf(refute_6_1958,plain,
( e21 != e21
| h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_1957,refute_6_1895]) ).
cnf(refute_6_1959,plain,
( h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1958]) ).
cnf(refute_6_1960,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_1961,plain,
( op2(e21,e22) != e21
| e22 = e21
| h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_1959,refute_6_1960]) ).
cnf(refute_6_1962,plain,
( e22 = e21
| h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1951,refute_6_1961]) ).
cnf(refute_6_1963,plain,
( h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_1962,refute_6_935]) ).
cnf(refute_6_1964,plain,
( e22 != e22
| h2(e11) = e21
| h2(e13) = e20
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1963,refute_6_914]) ).
cnf(refute_6_1965,plain,
( e22 != e22
| h2(e11) = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_1964,refute_6_1947]) ).
cnf(refute_6_1966,plain,
( h2(e11) = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_461,refute_6_1965]) ).
cnf(refute_6_1967,plain,
( e20 != e20
| h2(e11) = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1966,refute_6_1697]) ).
cnf(refute_6_1968,plain,
( e20 != e20
| h2(e11) = e21
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_1967,refute_6_903]) ).
cnf(refute_6_1969,plain,
( h2(e11) = e21
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_86,refute_6_1968]) ).
cnf(refute_6_1970,plain,
( e21 != e21
| h2(e11) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_1971,plain,
( e21 != e21
| h2(e11) = e21
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1969,refute_6_1970]) ).
cnf(refute_6_1972,plain,
( e21 != e21
| ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1971,refute_6_805]) ).
cnf(refute_6_1973,plain,
( ~ definitionFOFtoCNF_23
| definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1972]) ).
cnf(refute_6_1974,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_6_1946,refute_6_1973]) ).
cnf(refute_6_1975,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_6_1974,refute_6_447]) ).
cnf(refute_6_1976,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_1933,refute_6_1975]) ).
cnf(refute_6_1977,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_1976,refute_6_1935]) ).
cnf(refute_6_1978,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_6_1977,refute_6_387]) ).
cnf(refute_6_1979,plain,
( ~ definitionFOFtoCNF_0
| op1(e11,e10) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_6_1974,refute_6_1940]) ).
cnf(refute_6_1980,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_1933,refute_6_1979]) ).
cnf(refute_6_1981,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1980,refute_6_1943]) ).
cnf(refute_6_1982,plain,
( e11 != e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1981,refute_6_1978]) ).
cnf(refute_6_1983,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_376,refute_6_1982]) ).
cnf(refute_6_1984,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_6_1983,refute_6_386]) ).
cnf(refute_6_1985,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_1986,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_1984,refute_6_1985]) ).
cnf(refute_6_1987,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_6_1983,refute_6_1065]) ).
cnf(refute_6_1988,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1987,refute_6_242]) ).
cnf(refute_6_1989,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_6_1988,refute_6_1986]) ).
cnf(refute_6_1990,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_6_1989,refute_6_0]) ).
cnf(refute_6_1991,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_150,refute_6_1990]) ).
fof(negate_7_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( op2(e20,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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_7_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_7_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_7_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_7_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_7_4,normalize_7_5]) ).
fof(normalize_7_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_7_3,normalize_7_6,normalize_7_5]) ).
fof(normalize_7_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_7_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_7_7,normalize_7_8]) ).
fof(normalize_7_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_2,normalize_7_9,normalize_7_6,normalize_7_5,normalize_7_8]) ).
fof(normalize_7_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_7_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_7_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_7_11,normalize_7_12]) ).
fof(normalize_7_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_10,normalize_7_13,normalize_7_12]) ).
fof(normalize_7_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_7_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_14,normalize_7_15]) ).
fof(normalize_7_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_7_17]) ).
fof(normalize_7_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_9]) ).
fof(normalize_7_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_7_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_8]) ).
fof(normalize_7_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_7_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_7_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_6]) ).
fof(normalize_7_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_7_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_5]) ).
fof(normalize_7_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_7_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_7_37]) ).
fof(normalize_7_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_13]) ).
fof(normalize_7_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_12]) ).
fof(normalize_7_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_7_45]) ).
fof(normalize_7_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_50,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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_7_37]) ).
fof(normalize_7_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_7_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_7_53]) ).
fof(normalize_7_55,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_50,normalize_7_51,normalize_7_52,normalize_7_54]) ).
fof(normalize_7_56,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_57,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_15]) ).
fof(normalize_7_58,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_7_57]) ).
fof(normalize_7_59,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_7_60,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_61,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_62,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_63,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_64,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_65,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_7_57]) ).
fof(normalize_7_66,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_67,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_68,plain,
e20 != e23,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_69,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_70,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_71,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_72,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_73,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_74,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_75,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_76,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_77,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_78,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_7_77]) ).
fof(normalize_7_79,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_80,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_81,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_7_82,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_7_81]) ).
fof(normalize_7_83,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_7_81]) ).
fof(normalize_7_84,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_7_85,plain,
e11 != e13,
inference(conjunct,[],[normalize_7_84]) ).
fof(normalize_7_86,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_87,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_88,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_89,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_7_88]) ).
fof(normalize_7_90,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_91,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_92,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_7_81]) ).
fof(normalize_7_93,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_7_37]) ).
fof(normalize_7_94,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_7_95,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_7_96,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_7_97,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_7_95,normalize_7_96]) ).
fof(normalize_7_98,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_94,normalize_7_97,normalize_7_96]) ).
fof(normalize_7_99,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_7_100,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_98,normalize_7_99]) ).
fof(normalize_7_101,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_7_100]) ).
fof(normalize_7_102,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_7_101]) ).
fof(normalize_7_103,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_104,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_7_105,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_7_104]) ).
fof(normalize_7_106,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_7_105,normalize_7_16,normalize_7_13,normalize_7_9,normalize_7_6,normalize_7_5,normalize_7_8,normalize_7_15,normalize_7_12]) ).
fof(normalize_7_107,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_7_106,normalize_7_100,normalize_7_97,normalize_7_99,normalize_7_96]) ).
fof(normalize_7_108,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_7_109,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_7_110,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_7_108,normalize_7_109]) ).
fof(normalize_7_111,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_7_107,normalize_7_110,normalize_7_109]) ).
fof(normalize_7_112,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_7_113,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_7_111,normalize_7_112]) ).
fof(normalize_7_114,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_7_113]) ).
fof(normalize_7_115,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_7_114]) ).
fof(normalize_7_116,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_7_110]) ).
fof(normalize_7_117,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_7_116]) ).
fof(normalize_7_118,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_109]) ).
fof(normalize_7_119,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_7_118]) ).
fof(normalize_7_120,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_7_118]) ).
fof(normalize_7_121,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_7_112]) ).
fof(normalize_7_122,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_7_121]) ).
fof(normalize_7_123,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_124,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_125,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_7_114]) ).
fof(normalize_7_126,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_127,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_128,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_129,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_130,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_7_77]) ).
fof(normalize_7_131,plain,
e12 != e13,
inference(conjunct,[],[normalize_7_84]) ).
fof(normalize_7_132,plain,
e10 != e12,
inference(conjunct,[],[normalize_7_84]) ).
fof(normalize_7_133,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_7_88]) ).
fof(normalize_7_134,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_135,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_79]) ).
fof(normalize_7_136,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_97]) ).
fof(normalize_7_137,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_7_136]) ).
fof(normalize_7_138,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_139,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_140,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_141,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_142,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_96]) ).
fof(normalize_7_143,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_7_142]) ).
fof(normalize_7_144,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_145,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_7_142]) ).
fof(normalize_7_146,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_147,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_148,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_149,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_7_99]) ).
fof(normalize_7_150,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_7_149]) ).
fof(normalize_7_151,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_152,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_153,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_154,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_7_149]) ).
fof(normalize_7_155,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_156,plain,
e21 != e22,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_157,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_7_149]) ).
fof(normalize_7_158,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_159,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_7_101]) ).
fof(normalize_7_160,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_161,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_162,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_7_101]) ).
fof(normalize_7_163,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_164,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_7_104]) ).
fof(normalize_7_165,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_7_59]) ).
fof(normalize_7_166,plain,
e20 != e21,
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_167,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_7_17]) ).
cnf(refute_7_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_4,refute_7_5]) ).
cnf(refute_7_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_7_3,refute_7_7]) ).
cnf(refute_7_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_7_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_2,refute_7_10]) ).
cnf(refute_7_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_7_13,refute_7_14]) ).
cnf(refute_7_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_7_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_16]) ).
cnf(refute_7_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_7_12,refute_7_17]) ).
cnf(refute_7_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_7_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_20,refute_7_19]) ).
cnf(refute_7_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_7_18,refute_7_21]) ).
cnf(refute_7_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_7_22,refute_7_11]) ).
cnf(refute_7_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_7_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_25,refute_7_26]) ).
cnf(refute_7_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_27]) ).
cnf(refute_7_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_7_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_29,refute_7_30]) ).
cnf(refute_7_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_31]) ).
cnf(refute_7_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_6,refute_7_33]) ).
cnf(refute_7_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_32,refute_7_35]) ).
cnf(refute_7_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_7_28,refute_7_36]) ).
cnf(refute_7_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_7_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_7_37,refute_7_38]) ).
cnf(refute_7_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_39]) ).
cnf(refute_7_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_7_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_24,refute_7_42]) ).
cnf(refute_7_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_7_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_46]) ).
cnf(refute_7_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_23,refute_7_47]) ).
cnf(refute_7_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_48,refute_7_49]) ).
cnf(refute_7_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_7_52,refute_7_53]) ).
cnf(refute_7_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_7_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_7_55,refute_7_56]) ).
cnf(refute_7_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_57]) ).
cnf(refute_7_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_7_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_7_58,refute_7_59]) ).
cnf(refute_7_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_7_60,refute_7_51]) ).
cnf(refute_7_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_7_38]) ).
cnf(refute_7_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_7_63,refute_7_64]) ).
cnf(refute_7_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_7_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_7_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_68]) ).
cnf(refute_7_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_7_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_7_69,refute_7_70]) ).
cnf(refute_7_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_7_71,refute_7_62]) ).
cnf(refute_7_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_74]) ).
cnf(refute_7_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_7_73,refute_7_75]) ).
cnf(refute_7_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_7_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_7_76,refute_7_77]) ).
cnf(refute_7_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_7_78,refute_7_72]) ).
cnf(refute_7_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_7_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_80]) ).
cnf(refute_7_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_7_81,refute_7_79]) ).
cnf(refute_7_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_7_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_7_76,refute_7_83]) ).
cnf(refute_7_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_7_84,refute_7_82]) ).
cnf(refute_7_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_7_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_86,refute_7_85]) ).
cnf(refute_7_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_7_87,refute_7_61]) ).
cnf(refute_7_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_7_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_7_90,refute_7_91]) ).
cnf(refute_7_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_92]) ).
cnf(refute_7_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_7_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_7_94,refute_7_95]) ).
cnf(refute_7_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_96]) ).
cnf(refute_7_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_7_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_7_97,refute_7_98]) ).
cnf(refute_7_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_7_93,refute_7_99]) ).
cnf(refute_7_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_7_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_7_100,refute_7_101]) ).
cnf(refute_7_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_7_89,refute_7_102]) ).
cnf(refute_7_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_105]) ).
cnf(refute_7_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_104,refute_7_106]) ).
cnf(refute_7_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_7_87,refute_7_107]) ).
cnf(refute_7_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_108,refute_7_109]) ).
cnf(refute_7_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_103,refute_7_110]) ).
cnf(refute_7_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_108,refute_7_112]) ).
cnf(refute_7_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_103,refute_7_113]) ).
cnf(refute_7_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_7_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_7_116,refute_7_117]) ).
cnf(refute_7_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_118]) ).
cnf(refute_7_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_7_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_7_119,refute_7_120]) ).
cnf(refute_7_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_7_115,refute_7_121]) ).
cnf(refute_7_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_7_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_7_122,refute_7_123]) ).
cnf(refute_7_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_7_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_7_124,refute_7_125]) ).
cnf(refute_7_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_7_114,refute_7_126]) ).
cnf(refute_7_128,plain,
( h2(e11) != h2(e10)
| h2(e11) != op2(e21,h2(e13))
| h2(e10) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(h2(e10))]]) ).
cnf(refute_7_129,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e10) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_7_127,refute_7_128]) ).
cnf(refute_7_130,plain,
( h2(e10) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_7_111,refute_7_129]) ).
cnf(refute_7_131,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_132,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_108,refute_7_131]) ).
cnf(refute_7_133,plain,
( h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_7_111,refute_7_132]) ).
cnf(refute_7_134,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_7_135,plain,
( h2(e11) != op2(e21,e21)
| h2(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_134]) ).
cnf(refute_7_136,plain,
( h2(e11) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_7_133,refute_7_135]) ).
cnf(refute_7_137,plain,
( h2(e11) != h2(e13)
| h2(e13) = h2(e11) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_7_138,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e13)) )],[refute_7_136,refute_7_137]) ).
cnf(refute_7_139,plain,
( h2(e13) != e21
| h2(e13) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_140,plain,
( h2(e13) != e21
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_7_138,refute_7_139]) ).
cnf(refute_7_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_108,refute_7_140]) ).
cnf(refute_7_142,plain,
( h2(e11) != e21
| h2(e11) != h2(e10)
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[0],$fot(e21)]]) ).
cnf(refute_7_143,plain,
( h2(e11) != h2(e10)
| e21 = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_141,refute_7_142]) ).
cnf(refute_7_144,plain,
( e21 = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_7_127,refute_7_143]) ).
cnf(refute_7_145,plain,
( e21 != h2(e10)
| h2(e10) = e21 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e21)),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_7_146,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_7_144,refute_7_145]) ).
cnf(refute_7_147,plain,
( h2(e10) != e21
| h2(e10) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_7_148,plain,
( h2(e10) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_7_146,refute_7_147]) ).
cnf(refute_7_149,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) )],[refute_7_130,refute_7_148]) ).
cnf(refute_7_150,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_7_151,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_7_149,refute_7_150]) ).
cnf(refute_7_152,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_153,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_7_153,refute_7_88]) ).
cnf(refute_7_155,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_7_156,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_154]) ).
cnf(refute_7_157,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_7_156,refute_7_50]) ).
cnf(refute_7_158,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_7_157,refute_7_1]) ).
cnf(refute_7_159,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_160,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_161,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_162,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_163,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_7_164,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_165,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_7_163,refute_7_164]) ).
cnf(refute_7_166,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_165]) ).
cnf(refute_7_167,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_7_168,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_7_166,refute_7_167]) ).
cnf(refute_7_169,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_7_162,refute_7_168]) ).
cnf(refute_7_170,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_7_171,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_7_169,refute_7_170]) ).
cnf(refute_7_172,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_173,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_172]) ).
cnf(refute_7_174,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_7_173,refute_7_161]) ).
cnf(refute_7_175,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_160,refute_7_174]) ).
cnf(refute_7_176,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_7_175,refute_7_159]) ).
cnf(refute_7_177,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_49]) ).
cnf(refute_7_178,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_7_179,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_178]) ).
cnf(refute_7_180,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_7_179,refute_7_177]) ).
cnf(refute_7_181,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_7_176,refute_7_180]) ).
cnf(refute_7_182,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_7_181,refute_7_158]) ).
cnf(refute_7_183,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_7_56]) ).
cnf(refute_7_184,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_7_185,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_186,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_7_184,refute_7_185]) ).
cnf(refute_7_187,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_186]) ).
cnf(refute_7_188,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_7_189,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_7_187,refute_7_188]) ).
cnf(refute_7_190,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_7_183,refute_7_189]) ).
cnf(refute_7_191,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_7_58]) ).
cnf(refute_7_192,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_7_60]) ).
cnf(refute_7_193,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_192,refute_7_10]) ).
cnf(refute_7_194,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_61]) ).
cnf(refute_7_195,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_196,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_195]) ).
cnf(refute_7_197,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_7_196,refute_7_194]) ).
cnf(refute_7_198,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_7_199,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_7_198,refute_7_197]) ).
cnf(refute_7_200,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_193,refute_7_199]) ).
cnf(refute_7_201,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_200,refute_7_47]) ).
cnf(refute_7_202,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_7_62]) ).
cnf(refute_7_203,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_7_204,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_203]) ).
cnf(refute_7_205,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_204]) ).
cnf(refute_7_206,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_207,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_208,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_7_206,refute_7_207]) ).
cnf(refute_7_209,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_208]) ).
cnf(refute_7_210,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_211,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_7_209,refute_7_210]) ).
cnf(refute_7_212,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_7_202,refute_7_211]) ).
cnf(refute_7_213,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_7_214,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_7_212,refute_7_213]) ).
cnf(refute_7_215,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_7_216,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_215]) ).
cnf(refute_7_217,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_201,refute_7_216]) ).
cnf(refute_7_218,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_217,refute_7_49]) ).
cnf(refute_7_219,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_7_220,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_218,refute_7_219]) ).
cnf(refute_7_221,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_7_220,refute_7_191]) ).
cnf(refute_7_222,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_223,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_7_221,refute_7_222]) ).
cnf(refute_7_224,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_7_190,refute_7_223]) ).
cnf(refute_7_225,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_63]) ).
cnf(refute_7_226,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_7_64]) ).
cnf(refute_7_227,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_7_228,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_227]) ).
cnf(refute_7_229,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_7_228,refute_7_226]) ).
cnf(refute_7_230,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_7_65]) ).
cnf(refute_7_231,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_7_66]) ).
cnf(refute_7_232,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_233,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_232]) ).
cnf(refute_7_234,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_7_231,refute_7_233]) ).
cnf(refute_7_235,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_67]) ).
cnf(refute_7_236,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_7_237,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_236]) ).
cnf(refute_7_238,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_7_237,refute_7_235]) ).
cnf(refute_7_239,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_7_234,refute_7_238]) ).
cnf(refute_7_240,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_239,refute_7_219]) ).
cnf(refute_7_241,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_7_240,refute_7_191]) ).
cnf(refute_7_242,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_7_243,plain,
( op2(e20,e21) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_241,refute_7_242]) ).
cnf(refute_7_244,plain,
( e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_7_230,refute_7_243]) ).
cnf(refute_7_245,plain,
e20 != e23,
inference(canonicalize,[],[normalize_7_68]) ).
cnf(refute_7_246,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_7_247,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_246,refute_7_245]) ).
cnf(refute_7_248,plain,
( h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_244,refute_7_247]) ).
cnf(refute_7_249,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_7_250,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_7_248,refute_7_249]) ).
cnf(refute_7_251,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_7_250,refute_7_229]) ).
cnf(refute_7_252,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_7_70]) ).
cnf(refute_7_253,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_7_252,refute_7_180]) ).
cnf(refute_7_254,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_71]) ).
cnf(refute_7_255,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_256,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_255]) ).
cnf(refute_7_257,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_7_256,refute_7_254]) ).
cnf(refute_7_258,plain,
( h4(e13) != e21
| op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_7_259,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_258]) ).
cnf(refute_7_260,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_7_259,refute_7_257]) ).
cnf(refute_7_261,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_7_253,refute_7_260]) ).
cnf(refute_7_262,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_7_263,plain,
( e23 != e23
| e23 = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_7_261,refute_7_262]) ).
cnf(refute_7_264,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_7_263,refute_7_251]) ).
cnf(refute_7_265,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_7_266,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_265,refute_7_264]) ).
cnf(refute_7_267,plain,
( e22 != op2(e23,e21)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_7_268,plain,
( e22 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_7_266,refute_7_267]) ).
cnf(refute_7_269,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_7_268,refute_7_225]) ).
cnf(refute_7_270,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_7_72]) ).
cnf(refute_7_271,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_73]) ).
cnf(refute_7_272,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_273,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_272]) ).
cnf(refute_7_274,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_7_273,refute_7_271]) ).
cnf(refute_7_275,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_270,refute_7_274]) ).
cnf(refute_7_276,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_74]) ).
cnf(refute_7_277,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_278,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_277]) ).
cnf(refute_7_279,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_7_278,refute_7_276]) ).
cnf(refute_7_280,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_7_281,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_280]) ).
cnf(refute_7_282,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_7_281,refute_7_279]) ).
cnf(refute_7_283,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_275,refute_7_282]) ).
cnf(refute_7_284,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_7_285,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_7_283,refute_7_284]) ).
cnf(refute_7_286,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_7_285,refute_7_269]) ).
cnf(refute_7_287,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_7_288,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_287,refute_7_286]) ).
cnf(refute_7_289,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op2(e23,e21) != e23
| h4(op1(e10,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_7_290,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_288,refute_7_289]) ).
cnf(refute_7_291,plain,
( h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_7_224,refute_7_290]) ).
cnf(refute_7_292,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_7_75]) ).
cnf(refute_7_293,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e13)))]]) ).
cnf(refute_7_294,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_295,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_7_293,refute_7_294]) ).
cnf(refute_7_296,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_295]) ).
cnf(refute_7_297,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_7_76]) ).
cnf(refute_7_298,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_7_299,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_300,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_298,refute_7_299]) ).
cnf(refute_7_301,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_300]) ).
cnf(refute_7_302,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_303,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_304,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_302,refute_7_303]) ).
cnf(refute_7_305,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_304]) ).
cnf(refute_7_306,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_307,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_305,refute_7_306]) ).
cnf(refute_7_308,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_7_301,refute_7_307]) ).
cnf(refute_7_309,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_7_310,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_7_308,refute_7_309]) ).
cnf(refute_7_311,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_310]) ).
cnf(refute_7_312,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_313,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_7_311,refute_7_312]) ).
cnf(refute_7_314,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_297,refute_7_313]) ).
cnf(refute_7_315,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_7_316,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_317,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_7_315,refute_7_316]) ).
cnf(refute_7_318,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_317]) ).
cnf(refute_7_319,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),h4(e13)))),bind(Z,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_7_320,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_7_318,refute_7_319]) ).
cnf(refute_7_321,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),e21)) )],[refute_7_296,refute_7_320]) ).
cnf(refute_7_322,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_7_323,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),e21)) )],[refute_7_321,refute_7_322]) ).
cnf(refute_7_324,plain,
op2(h4(e11),h4(e13)) = h2(e10),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_7_124,refute_7_323]) ).
cnf(refute_7_325,plain,
( h4(op1(e11,e13)) != h2(e10)
| op2(h4(e11),h4(e13)) != h2(e10)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) ),[1],$fot(h2(e10))]]) ).
cnf(refute_7_326,plain,
( h4(op1(e11,e13)) != h2(e10)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),h2(e10)) )],[refute_7_324,refute_7_325]) ).
cnf(refute_7_327,plain,
h4(op1(e11,e13)) != h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_326,refute_7_292]) ).
cnf(refute_7_328,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_7_78]) ).
cnf(refute_7_329,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_80]) ).
cnf(refute_7_330,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_7_82]) ).
cnf(refute_7_331,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_7_332,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_7_330,refute_7_331]) ).
cnf(refute_7_333,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_7_334,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_333]) ).
cnf(refute_7_335,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_7_334,refute_7_329]) ).
cnf(refute_7_336,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_7_337,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_7_336,refute_7_335]) ).
cnf(refute_7_338,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_7_328,refute_7_337]) ).
cnf(refute_7_339,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_7_83]) ).
cnf(refute_7_340,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_7_341,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_7_342,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_340,refute_7_341]) ).
cnf(refute_7_343,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_342]) ).
cnf(refute_7_344,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_7_345,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_346,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_344,refute_7_345]) ).
cnf(refute_7_347,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_346]) ).
cnf(refute_7_348,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_349,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_347,refute_7_348]) ).
cnf(refute_7_350,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_7_343,refute_7_349]) ).
cnf(refute_7_351,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_7_352,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_7_350,refute_7_351]) ).
cnf(refute_7_353,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_339,refute_7_352]) ).
cnf(refute_7_354,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_355,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_7_353,refute_7_354]) ).
cnf(refute_7_356,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_7_357,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_355,refute_7_356]) ).
cnf(refute_7_358,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_7_338,refute_7_357]) ).
cnf(refute_7_359,plain,
e11 != e13,
inference(canonicalize,[],[normalize_7_85]) ).
cnf(refute_7_360,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_358,refute_7_359]) ).
cnf(refute_7_361,plain,
( h4(e13) != h2(e10)
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),h2(e10)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_362,plain,
( h4(e13) != h2(e10)
| h4(op1(e11,e13)) = h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_360,refute_7_361]) ).
cnf(refute_7_363,plain,
( h4(e13) != h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_7_362,refute_7_327]) ).
cnf(refute_7_364,plain,
( e21 != h2(e10)
| h4(e13) != e21
| h4(e13) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(h2(e10))]]) ).
cnf(refute_7_365,plain,
( e21 != h2(e10)
| h4(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_364]) ).
cnf(refute_7_366,plain,
( e21 != h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e10)) )],[refute_7_365,refute_7_363]) ).
cnf(refute_7_367,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_7_86]) ).
cnf(refute_7_368,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_7_87]) ).
cnf(refute_7_369,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_370,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_371,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_7_369,refute_7_370]) ).
cnf(refute_7_372,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_368,refute_7_371]) ).
cnf(refute_7_373,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_374,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_7_372,refute_7_373]) ).
cnf(refute_7_375,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_7_367,refute_7_374]) ).
cnf(refute_7_376,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_377,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_7_221,refute_7_376]) ).
cnf(refute_7_378,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_7_375,refute_7_377]) ).
cnf(refute_7_379,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_7_380,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_379]) ).
cnf(refute_7_381,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_7_378,refute_7_380]) ).
cnf(refute_7_382,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_7_89]) ).
cnf(refute_7_383,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_7_90]) ).
cnf(refute_7_384,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_385,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_384]) ).
cnf(refute_7_386,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_7_385,refute_7_383]) ).
cnf(refute_7_387,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_7_382,refute_7_386]) ).
cnf(refute_7_388,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_91]) ).
cnf(refute_7_389,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_7_92]) ).
cnf(refute_7_390,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_7_391,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_392,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_7_390,refute_7_391]) ).
cnf(refute_7_393,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_392]) ).
cnf(refute_7_394,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_7_395,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_7_393,refute_7_394]) ).
cnf(refute_7_396,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_7_389,refute_7_395]) ).
cnf(refute_7_397,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_7_398,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_7_396,refute_7_397]) ).
cnf(refute_7_399,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_7_400,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_7_398,refute_7_399]) ).
cnf(refute_7_401,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_7_400,refute_7_388]) ).
cnf(refute_7_402,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_387,refute_7_401]) ).
cnf(refute_7_403,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_404,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_7_402,refute_7_403]) ).
cnf(refute_7_405,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_7_381,refute_7_404]) ).
cnf(refute_7_406,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_7_407,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_368,refute_7_406]) ).
cnf(refute_7_408,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_7_405,refute_7_407]) ).
cnf(refute_7_409,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_7_410,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_409,refute_7_49]) ).
cnf(refute_7_411,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_408,refute_7_410]) ).
cnf(refute_7_412,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_413,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_7_411,refute_7_412]) ).
cnf(refute_7_414,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_7_381,refute_7_413]) ).
cnf(refute_7_415,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_416,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_415]) ).
cnf(refute_7_417,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_414,refute_7_416]) ).
cnf(refute_7_418,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_419,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_417,refute_7_418]) ).
cnf(refute_7_420,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_7_122,refute_7_419]) ).
cnf(refute_7_421,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_7_422,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_421]) ).
cnf(refute_7_423,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_7_420,refute_7_422]) ).
cnf(refute_7_424,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_7_425,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_7_423,refute_7_424]) ).
cnf(refute_7_426,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_7_427,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_7_425,refute_7_426]) ).
cnf(refute_7_428,plain,
( h2(e10) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_417,refute_7_427]) ).
cnf(refute_7_429,plain,
( e21 != e21
| h2(e10) != e21
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_7_430,plain,
( e21 != e21
| e21 = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_7_428,refute_7_429]) ).
cnf(refute_7_431,plain,
( e21 != e21
| op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_7_430,refute_7_366]) ).
cnf(refute_7_432,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_431]) ).
cnf(refute_7_433,plain,
( h4(op1(e10,e13)) != e23
| op1(e10,e13) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_434,plain,
( h4(op1(e10,e13)) != e23
| h4(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_7_432,refute_7_433]) ).
cnf(refute_7_435,plain,
( h4(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_7_291,refute_7_434]) ).
cnf(refute_7_436,plain,
( e21 = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_435,refute_7_47]) ).
cnf(refute_7_437,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_436,refute_7_49]) ).
cnf(refute_7_438,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_7_437,refute_7_182]) ).
cnf(refute_7_439,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_7_93]) ).
cnf(refute_7_440,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_7_441,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_7_442,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_7_440,refute_7_441]) ).
cnf(refute_7_443,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_442]) ).
cnf(refute_7_444,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_7_445,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_7_446,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_7_444,refute_7_445]) ).
cnf(refute_7_447,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_446]) ).
cnf(refute_7_448,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_7_449,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_7_447,refute_7_448]) ).
cnf(refute_7_450,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_7_443,refute_7_449]) ).
cnf(refute_7_451,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_7_452,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_7_450,refute_7_451]) ).
cnf(refute_7_453,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_7_439,refute_7_452]) ).
cnf(refute_7_454,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_7_102]) ).
cnf(refute_7_455,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_103]) ).
cnf(refute_7_456,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_7_457,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_456]) ).
cnf(refute_7_458,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_7_457,refute_7_455]) ).
cnf(refute_7_459,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_7_115]) ).
cnf(refute_7_460,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_7_117]) ).
cnf(refute_7_461,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_460,refute_7_199]) ).
cnf(refute_7_462,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_7_119]) ).
cnf(refute_7_463,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_464,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_7_465,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_7_463,refute_7_464]) ).
cnf(refute_7_466,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_465]) ).
cnf(refute_7_467,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_7_468,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_7_466,refute_7_467]) ).
cnf(refute_7_469,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_7_468,refute_7_462]) ).
cnf(refute_7_470,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_7_471,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_472,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_7_470,refute_7_471]) ).
cnf(refute_7_473,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_472]) ).
cnf(refute_7_474,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_7_475,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_7_473,refute_7_474]) ).
cnf(refute_7_476,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_7_475,refute_7_469]) ).
cnf(refute_7_477,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_7_120]) ).
cnf(refute_7_478,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_7_479,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_477,refute_7_478]) ).
cnf(refute_7_480,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_479,refute_7_476]) ).
cnf(refute_7_481,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_265,refute_7_480]) ).
cnf(refute_7_482,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_7_481,refute_7_461]) ).
cnf(refute_7_483,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_7_459,refute_7_482]) ).
cnf(refute_7_484,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_7_122]) ).
cnf(refute_7_485,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_7_486,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_485]) ).
cnf(refute_7_487,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_7_484,refute_7_486]) ).
cnf(refute_7_488,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_123]) ).
cnf(refute_7_489,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_487,refute_7_488]) ).
cnf(refute_7_490,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_7_483,refute_7_489]) ).
cnf(refute_7_491,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_7_492,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_490,refute_7_491]) ).
cnf(refute_7_493,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_7_492,refute_7_458]) ).
cnf(refute_7_494,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_7_124]) ).
cnf(refute_7_495,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_7_125]) ).
cnf(refute_7_496,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_7_495,refute_7_482]) ).
cnf(refute_7_497,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_7_496,refute_7_489]) ).
cnf(refute_7_498,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_7_499,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_7_497,refute_7_498]) ).
cnf(refute_7_500,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_7_499,refute_7_494]) ).
cnf(refute_7_501,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_7_126]) ).
cnf(refute_7_502,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_503,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_502]) ).
cnf(refute_7_504,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_501,refute_7_503]) ).
cnf(refute_7_505,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_127]) ).
cnf(refute_7_506,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_7_507,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_506]) ).
cnf(refute_7_508,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_7_507,refute_7_505]) ).
cnf(refute_7_509,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_504,refute_7_508]) ).
cnf(refute_7_510,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_509,refute_7_216]) ).
cnf(refute_7_511,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_512,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_7_510,refute_7_511]) ).
cnf(refute_7_513,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_7_512,refute_7_500]) ).
cnf(refute_7_514,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_265,refute_7_513]) ).
cnf(refute_7_515,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_7_516,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_7_514,refute_7_515]) ).
cnf(refute_7_517,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_7_516,refute_7_493]) ).
cnf(refute_7_518,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_265,refute_7_517]) ).
cnf(refute_7_519,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_520,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_518,refute_7_519]) ).
cnf(refute_7_521,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_103,refute_7_520]) ).
cnf(refute_7_522,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_523,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_518,refute_7_522]) ).
cnf(refute_7_524,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_7_521,refute_7_523]) ).
cnf(refute_7_525,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_7_526,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_525]) ).
cnf(refute_7_527,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_7_524,refute_7_526]) ).
cnf(refute_7_528,plain,
( h2(e11) != e21
| h2(e11) != op2(e23,h2(e13))
| e21 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_7_529,plain,
( h2(e11) != op2(e23,h2(e13))
| e21 = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_527,refute_7_528]) ).
cnf(refute_7_530,plain,
( e21 = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_7_521,refute_7_529]) ).
cnf(refute_7_531,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_7_128]) ).
cnf(refute_7_532,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_7_533,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_534,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_7_532,refute_7_533]) ).
cnf(refute_7_535,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_368,refute_7_534]) ).
cnf(refute_7_536,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_537,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_538,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_7_536,refute_7_537]) ).
cnf(refute_7_539,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_538]) ).
cnf(refute_7_540,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_7_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_7_541,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_7_539,refute_7_540]) ).
cnf(refute_7_542,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_7_535,refute_7_541]) ).
cnf(refute_7_543,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_544,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_7_542,refute_7_543]) ).
cnf(refute_7_545,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_7_531,refute_7_544]) ).
cnf(refute_7_546,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_547,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_518,refute_7_546]) ).
cnf(refute_7_548,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_547]) ).
cnf(refute_7_549,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_7_550,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_205,refute_7_549]) ).
cnf(refute_7_551,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_7_548,refute_7_550]) ).
cnf(refute_7_552,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_7_129]) ).
cnf(refute_7_553,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_7_130]) ).
cnf(refute_7_554,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_7_555,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_554]) ).
cnf(refute_7_556,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_7_553,refute_7_555]) ).
cnf(refute_7_557,plain,
e12 != e13,
inference(canonicalize,[],[normalize_7_131]) ).
cnf(refute_7_558,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_7_559,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_7_558,refute_7_557]) ).
cnf(refute_7_560,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_7_556,refute_7_559]) ).
cnf(refute_7_561,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_7_562,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_7_398,refute_7_561]) ).
cnf(refute_7_563,plain,
( e10 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_7_560,refute_7_562]) ).
cnf(refute_7_564,plain,
e10 != e12,
inference(canonicalize,[],[normalize_7_132]) ).
cnf(refute_7_565,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_7_563,refute_7_564]) ).
cnf(refute_7_566,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_567,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_565,refute_7_566]) ).
cnf(refute_7_568,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_567]) ).
cnf(refute_7_569,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_7_570,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_368,refute_7_569]) ).
cnf(refute_7_571,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_7_572,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_571]) ).
cnf(refute_7_573,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_7_574,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_7_572,refute_7_573]) ).
cnf(refute_7_575,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_7_570,refute_7_574]) ).
cnf(refute_7_576,plain,
( e23 = h4(op1(e11,e12))
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_7_568,refute_7_575]) ).
cnf(refute_7_577,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_7_578,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_7_551,refute_7_577]) ).
cnf(refute_7_579,plain,
( e23 = e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_7_576,refute_7_578]) ).
cnf(refute_7_580,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_579,refute_7_410]) ).
cnf(refute_7_581,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_7_582,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_7_580,refute_7_581]) ).
cnf(refute_7_583,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_7_582,refute_7_552]) ).
cnf(refute_7_584,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_7_133]) ).
cnf(refute_7_585,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_7_134]) ).
cnf(refute_7_586,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_587,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_332,refute_7_586]) ).
cnf(refute_7_588,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_7_587,refute_7_585]) ).
cnf(refute_7_589,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_7_584,refute_7_588]) ).
cnf(refute_7_590,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_135]) ).
cnf(refute_7_591,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_7_592,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_7_398,refute_7_591]) ).
cnf(refute_7_593,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_7_592,refute_7_590]) ).
cnf(refute_7_594,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_7_589,refute_7_593]) ).
cnf(refute_7_595,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_7_596,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_594,refute_7_595]) ).
cnf(refute_7_597,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_7_596,refute_7_583]) ).
cnf(refute_7_598,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_7_599,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_7_598,refute_7_597]) ).
cnf(refute_7_600,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_601,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_599,refute_7_600]) ).
cnf(refute_7_602,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_7_551,refute_7_601]) ).
cnf(refute_7_603,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_602,refute_7_416]) ).
cnf(refute_7_604,plain,
( e21 != op2(e23,h2(e13))
| h2(e13) != e21
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_605,plain,
( e21 != op2(e23,h2(e13))
| e21 = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_603,refute_7_604]) ).
cnf(refute_7_606,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,h2(e13))) )],[refute_7_530,refute_7_605]) ).
cnf(refute_7_607,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_7_608,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_607,refute_7_282]) ).
cnf(refute_7_609,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_7_606,refute_7_608]) ).
cnf(refute_7_610,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_7_609,refute_7_454]) ).
cnf(refute_7_611,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_7_137]) ).
cnf(refute_7_612,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_7_613,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_612]) ).
cnf(refute_7_614,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_7_611,refute_7_613]) ).
cnf(refute_7_615,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_138]) ).
cnf(refute_7_616,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_617,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_616]) ).
cnf(refute_7_618,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_7_617,refute_7_615]) ).
cnf(refute_7_619,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_620,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_619]) ).
cnf(refute_7_621,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_7_622,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_621]) ).
cnf(refute_7_623,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_7_622,refute_7_620]) ).
cnf(refute_7_624,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_7_623,refute_7_618]) ).
cnf(refute_7_625,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_7_614,refute_7_624]) ).
cnf(refute_7_626,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_7_139]) ).
cnf(refute_7_627,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_7_628,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_629,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_7_627,refute_7_628]) ).
cnf(refute_7_630,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_629]) ).
cnf(refute_7_631,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_7_632,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_7_630,refute_7_631]) ).
cnf(refute_7_633,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_7_626,refute_7_632]) ).
cnf(refute_7_634,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_7_140]) ).
cnf(refute_7_635,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_7_141]) ).
cnf(refute_7_636,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_7_143]) ).
cnf(refute_7_637,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_7_638,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_636,refute_7_637]) ).
cnf(refute_7_639,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_7_638,refute_7_635]) ).
cnf(refute_7_640,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_7_144]) ).
cnf(refute_7_641,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_7_640,refute_7_238]) ).
cnf(refute_7_642,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_641,refute_7_174]) ).
cnf(refute_7_643,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_7_644,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_7_642,refute_7_643]) ).
cnf(refute_7_645,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_7_644,refute_7_639]) ).
cnf(refute_7_646,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_287,refute_7_645]) ).
cnf(refute_7_647,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_648,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_7_646,refute_7_647]) ).
cnf(refute_7_649,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_7_648,refute_7_634]) ).
cnf(refute_7_650,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_7_145]) ).
cnf(refute_7_651,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_7_146]) ).
cnf(refute_7_652,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_651,refute_7_106]) ).
cnf(refute_7_653,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_652,refute_7_282]) ).
cnf(refute_7_654,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_655,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_653,refute_7_654]) ).
cnf(refute_7_656,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_7_655,refute_7_650]) ).
cnf(refute_7_657,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_658,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_656,refute_7_657]) ).
cnf(refute_7_659,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_658,refute_7_649]) ).
cnf(refute_7_660,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_659]) ).
cnf(refute_7_661,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_662,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_660,refute_7_661]) ).
cnf(refute_7_663,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_7_633,refute_7_662]) ).
cnf(refute_7_664,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_7_665,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_7_190,refute_7_664]) ).
cnf(refute_7_666,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_7_667,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_7_665,refute_7_666]) ).
cnf(refute_7_668,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_7_663,refute_7_667]) ).
cnf(refute_7_669,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_660,refute_7_418]) ).
cnf(refute_7_670,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_7_122,refute_7_669]) ).
cnf(refute_7_671,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_7_670,refute_7_422]) ).
cnf(refute_7_672,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_7_671,refute_7_424]) ).
cnf(refute_7_673,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_7_672,refute_7_426]) ).
cnf(refute_7_674,plain,
( h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_660,refute_7_673]) ).
cnf(refute_7_675,plain,
( e21 != e21
| e21 = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_7_674,refute_7_429]) ).
cnf(refute_7_676,plain,
( e21 != e21
| op1(e10,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_7_675,refute_7_366]) ).
cnf(refute_7_677,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_676]) ).
cnf(refute_7_678,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| op1(e10,e13) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_679,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = h4(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_7_677,refute_7_678]) ).
cnf(refute_7_680,plain,
( h4(op1(e10,e11)) = h4(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) )],[refute_7_668,refute_7_679]) ).
cnf(refute_7_681,plain,
( h4(e13) != e21
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_7_682,plain,
( h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_681]) ).
cnf(refute_7_683,plain,
( h4(op1(e10,e11)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_7_680,refute_7_682]) ).
cnf(refute_7_684,plain,
( h4(op1(e10,e11)) != e21
| h4(op1(e10,e11)) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(e21)]]) ).
cnf(refute_7_685,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e21) )],[refute_7_683,refute_7_684]) ).
cnf(refute_7_686,plain,
( e21 = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) )],[refute_7_668,refute_7_685]) ).
cnf(refute_7_687,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_688,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_660,refute_7_687]) ).
cnf(refute_7_689,plain,
( h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_688]) ).
cnf(refute_7_690,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_7_691,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_690]) ).
cnf(refute_7_692,plain,
( h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_7_689,refute_7_691]) ).
cnf(refute_7_693,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e11
| h4(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_694,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e11) = h4(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_594,refute_7_693]) ).
cnf(refute_7_695,plain,
( h4(e11) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_7_692,refute_7_694]) ).
cnf(refute_7_696,plain,
( h4(e11) != h2(e13)
| h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_697,plain,
( h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_696]) ).
cnf(refute_7_698,plain,
( h2(e13) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_7_695,refute_7_697]) ).
cnf(refute_7_699,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_147]) ).
cnf(refute_7_700,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_701,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_700]) ).
cnf(refute_7_702,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_7_701,refute_7_699]) ).
cnf(refute_7_703,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_7_704,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_7_214,refute_7_703]) ).
cnf(refute_7_705,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_7_704,refute_7_702]) ).
cnf(refute_7_706,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_7_698,refute_7_705]) ).
cnf(refute_7_707,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_708,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_706,refute_7_707]) ).
cnf(refute_7_709,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_7_692,refute_7_708]) ).
cnf(refute_7_710,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_7_711,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_368,refute_7_710]) ).
cnf(refute_7_712,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_7_709,refute_7_711]) ).
cnf(refute_7_713,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_7_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_7_714,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_7_712,refute_7_713]) ).
cnf(refute_7_715,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_7_714,refute_7_222]) ).
cnf(refute_7_716,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_7_190,refute_7_715]) ).
cnf(refute_7_717,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_7_718,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_7_716,refute_7_717]) ).
cnf(refute_7_719,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_7_686,refute_7_718]) ).
cnf(refute_7_720,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_7_719,refute_7_608]) ).
cnf(refute_7_721,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_7_720,refute_7_625]) ).
cnf(refute_7_722,plain,
( ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_7_721,refute_7_610]) ).
cnf(refute_7_723,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_7_148]) ).
cnf(refute_7_724,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_7_725,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_724]) ).
cnf(refute_7_726,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_7_725,refute_7_723]) ).
cnf(refute_7_727,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_7_150]) ).
cnf(refute_7_728,plain,
( e22 != op2(e21,e22)
| op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_7_729,plain,
( e22 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_7_727,refute_7_728]) ).
cnf(refute_7_730,plain,
( e22 != op2(e21,e22)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_7_729,refute_7_635]) ).
cnf(refute_7_731,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_7_151]) ).
cnf(refute_7_732,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_731,refute_7_508]) ).
cnf(refute_7_733,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_152]) ).
cnf(refute_7_734,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_735,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_734]) ).
cnf(refute_7_736,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_7_735,refute_7_733]) ).
cnf(refute_7_737,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_7_732,refute_7_736]) ).
cnf(refute_7_738,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_7_739,plain,
( e22 != e22
| e22 = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_737,refute_7_738]) ).
cnf(refute_7_740,plain,
( e22 != e22
| op2(e21,e22) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_7_739,refute_7_730]) ).
cnf(refute_7_741,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_287,refute_7_740]) ).
cnf(refute_7_742,plain,
( h2(e13) != e21
| op2(e21,e22) != e21
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_743,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_741,refute_7_742]) ).
cnf(refute_7_744,plain,
( h2(e13) != e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_7_743,refute_7_726]) ).
cnf(refute_7_745,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_7_153]) ).
cnf(refute_7_746,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_7_747,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_746]) ).
cnf(refute_7_748,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_7_747,refute_7_745]) ).
cnf(refute_7_749,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_750,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_741,refute_7_749]) ).
cnf(refute_7_751,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_7_750,refute_7_0]) ).
cnf(refute_7_752,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_7_154]) ).
cnf(refute_7_753,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_7_155]) ).
cnf(refute_7_754,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_755,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_754]) ).
cnf(refute_7_756,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_7_753,refute_7_755]) ).
cnf(refute_7_757,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_7_756,refute_7_260]) ).
cnf(refute_7_758,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_759,plain,
( op2(e22,e20) != e22
| e21 = e22
| h1(e13) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_7_757,refute_7_758]) ).
cnf(refute_7_760,plain,
( e21 = e22
| h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_7_752,refute_7_759]) ).
cnf(refute_7_761,plain,
e21 != e22,
inference(canonicalize,[],[normalize_7_156]) ).
cnf(refute_7_762,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_760,refute_7_761]) ).
cnf(refute_7_763,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_764,plain,
( e21 != e21
| h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_7_762,refute_7_763]) ).
cnf(refute_7_765,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_7_764,refute_7_751]) ).
cnf(refute_7_766,plain,
( h1(e13) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_765]) ).
cnf(refute_7_767,plain,
( e21 != op2(e20,e21)
| h1(e13) != e21
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_7_768,plain,
( e21 != op2(e20,e21)
| h1(e13) = op2(e20,e21)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_7_766,refute_7_767]) ).
cnf(refute_7_769,plain,
( e21 != op2(e20,e21)
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_7_768,refute_7_748]) ).
cnf(refute_7_770,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_7_157]) ).
cnf(refute_7_771,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_7_655,refute_7_770]) ).
cnf(refute_7_772,plain,
( e21 != e21
| op2(e20,e21) != e21
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_7_773,plain,
( e21 != e21
| e21 = op2(e20,e21)
| h2(e13) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_771,refute_7_772]) ).
cnf(refute_7_774,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_7_773,refute_7_769]) ).
cnf(refute_7_775,plain,
( e21 != e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_774,refute_7_744]) ).
cnf(refute_7_776,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_775]) ).
cnf(refute_7_777,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_7_776,refute_7_722]) ).
cnf(refute_7_778,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_777,refute_7_749]) ).
cnf(refute_7_779,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_7_778,refute_7_0]) ).
cnf(refute_7_780,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_7_158]) ).
cnf(refute_7_781,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_7_159]) ).
cnf(refute_7_782,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_7_609,refute_7_781]) ).
cnf(refute_7_783,plain,
( ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_7_721,refute_7_782]) ).
cnf(refute_7_784,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_7_776,refute_7_783]) ).
cnf(refute_7_785,plain,
( op2(e22,e20) != e21
| op2(e22,e21) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_7_786,plain,
( op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_784,refute_7_785]) ).
cnf(refute_7_787,plain,
( op2(e22,e20) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_7_786,refute_7_780]) ).
cnf(refute_7_788,plain,
( e21 != e21
| op2(e22,e20) != e21
| op2(e22,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(e21)]]) ).
cnf(refute_7_789,plain,
( e21 != e21
| h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_7_757,refute_7_788]) ).
cnf(refute_7_790,plain,
( e21 != e21
| h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_7_789,refute_7_787]) ).
cnf(refute_7_791,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_7_790,refute_7_779]) ).
cnf(refute_7_792,plain,
( h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_791]) ).
cnf(refute_7_793,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_794,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_7_792,refute_7_793]) ).
cnf(refute_7_795,plain,
( h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_7_453,refute_7_794]) ).
cnf(refute_7_796,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_797,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_7_792,refute_7_796]) ).
cnf(refute_7_798,plain,
( h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) )],[refute_7_795,refute_7_797]) ).
cnf(refute_7_799,plain,
( h1(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h1(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_7_800,plain,
( h1(e11) != op2(e21,e21)
| h1(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_799]) ).
cnf(refute_7_801,plain,
( h1(e11) = h2(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_7_798,refute_7_800]) ).
cnf(refute_7_802,plain,
( h1(e11) != h2(e13)
| h2(e13) = h1(e11) ),
inference(subst,[],[refute_7_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_7_803,plain,
( h2(e13) = h1(e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_7_801,refute_7_802]) ).
cnf(refute_7_804,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != h1(e11)
| h2(e11) = op2(h1(e11),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_7_805,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h1(e11),h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e11)) )],[refute_7_803,refute_7_804]) ).
cnf(refute_7_806,plain,
( h2(e11) = op2(h1(e11),h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_103,refute_7_805]) ).
cnf(refute_7_807,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_160]) ).
cnf(refute_7_808,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_7_809,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_808]) ).
cnf(refute_7_810,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_7_809,refute_7_807]) ).
cnf(refute_7_811,plain,
( h2(e13) != e22
| op2(e23,e21) != e22
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_7_812,plain,
( h2(e13) != e22
| h2(e13) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_7_283,refute_7_811]) ).
cnf(refute_7_813,plain,
( h2(e13) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_7_812,refute_7_810]) ).
cnf(refute_7_814,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_7_161]) ).
cnf(refute_7_815,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_816,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_815]) ).
cnf(refute_7_817,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_814,refute_7_816]) ).
cnf(refute_7_818,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_817,refute_7_106]) ).
cnf(refute_7_819,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_820,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_819]) ).
cnf(refute_7_821,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_818,refute_7_820]) ).
cnf(refute_7_822,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_821,refute_7_503]) ).
cnf(refute_7_823,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(op1(e11,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_822,refute_7_546]) ).
cnf(refute_7_824,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(op1(e11,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_823]) ).
cnf(refute_7_825,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_7_824,refute_7_550]) ).
cnf(refute_7_826,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_827,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_594,refute_7_826]) ).
cnf(refute_7_828,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_7_545,refute_7_827]) ).
cnf(refute_7_829,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_830,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_314,refute_7_829]) ).
cnf(refute_7_831,plain,
( h2(e13) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| h2(e13) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_7_832,plain,
( h2(e13) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_7_572,refute_7_831]) ).
cnf(refute_7_833,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),e23)) )],[refute_7_830,refute_7_832]) ).
cnf(refute_7_834,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_7_828,refute_7_833]) ).
cnf(refute_7_835,plain,
( h2(e13) != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_7_836,plain,
( h2(e13) != h4(op1(e11,e12))
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_7_825,refute_7_835]) ).
cnf(refute_7_837,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_7_834,refute_7_836]) ).
cnf(refute_7_838,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_839,plain,
( h4(op1(e11,e12)) != e21
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(e12) = e21 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_837,refute_7_838]) ).
cnf(refute_7_840,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h4(e12) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_7_825,refute_7_839]) ).
cnf(refute_7_841,plain,
( e23 = e21
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_7_840,refute_7_407]) ).
cnf(refute_7_842,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_841,refute_7_410]) ).
cnf(refute_7_843,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_7_844,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_842,refute_7_843]) ).
cnf(refute_7_845,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_844,refute_7_813]) ).
cnf(refute_7_846,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_287,refute_7_845]) ).
cnf(refute_7_847,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_7_848,plain,
( h2(e13) != e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_846,refute_7_847]) ).
cnf(refute_7_849,plain,
( h2(e13) != e23
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_7_848,refute_7_810]) ).
cnf(refute_7_850,plain,
( h2(e13) != e20
| h2(e13) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e23)]]) ).
cnf(refute_7_851,plain,
( h2(e13) != e23
| e23 = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_849,refute_7_850]) ).
cnf(refute_7_852,plain,
( h2(e13) != e21
| h2(e13) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e23)]]) ).
cnf(refute_7_853,plain,
( h2(e13) != e23
| e23 = e20
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_851,refute_7_852]) ).
cnf(refute_7_854,plain,
( h2(e13) != e23
| e23 = e21 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_853,refute_7_247]) ).
cnf(refute_7_855,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_854,refute_7_410]) ).
cnf(refute_7_856,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_777,refute_7_742]) ).
cnf(refute_7_857,plain,
( h2(e13) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_7_856,refute_7_726]) ).
cnf(refute_7_858,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_7_162]) ).
cnf(refute_7_859,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_7_609,refute_7_858]) ).
cnf(refute_7_860,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_7_721,refute_7_859]) ).
cnf(refute_7_861,plain,
( op2(e21,op2(e21,e22)) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_7_776,refute_7_860]) ).
cnf(refute_7_862,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_863,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_777,refute_7_862]) ).
cnf(refute_7_864,plain,
( op2(e21,e21) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_7_863,refute_7_861]) ).
cnf(refute_7_865,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_7_866,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_54,refute_7_865]) ).
cnf(refute_7_867,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_866,refute_7_864]) ).
cnf(refute_7_868,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_822,refute_7_843]) ).
cnf(refute_7_869,plain,
( e22 != e22
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_868,refute_7_867]) ).
cnf(refute_7_870,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_287,refute_7_869]) ).
cnf(refute_7_871,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_7_872,plain,
( e21 != e21
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_870,refute_7_871]) ).
cnf(refute_7_873,plain,
( e21 != e21
| h2(e13) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_872,refute_7_857]) ).
cnf(refute_7_874,plain,
( h2(e13) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_873]) ).
cnf(refute_7_875,plain,
( h1(e11) != h2(e13)
| h2(e13) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_876,plain,
( h1(e11) != h2(e13)
| h1(e11) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_874,refute_7_875]) ).
cnf(refute_7_877,plain,
( h1(e11) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_7_801,refute_7_876]) ).
cnf(refute_7_878,plain,
( e23 != e23
| h2(e13) != e23
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_879,plain,
( e23 != e23
| h1(e11) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_877,refute_7_878]) ).
cnf(refute_7_880,plain,
( e23 != e23
| h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_7_879,refute_7_855]) ).
cnf(refute_7_881,plain,
( h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_265,refute_7_880]) ).
cnf(refute_7_882,plain,
( h1(e11) != e20
| h2(e11) != op2(h1(e11),h2(e13))
| h2(e11) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h1(e11),h2(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_883,plain,
( h2(e11) != op2(h1(e11),h2(e13))
| h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_7_881,refute_7_882]) ).
cnf(refute_7_884,plain,
( h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e11),h2(e13))) )],[refute_7_806,refute_7_883]) ).
cnf(refute_7_885,plain,
( h2(e11) != op2(h1(e11),h2(e13))
| h2(e13) != h1(e11)
| h2(e11) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h1(e11),h2(e13))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_7_886,plain,
( h2(e11) != op2(h1(e11),h2(e13))
| h2(e11) = op2(h1(e11),h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e11)) )],[refute_7_803,refute_7_885]) ).
cnf(refute_7_887,plain,
( h2(e11) = op2(h1(e11),h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e11),h2(e13))) )],[refute_7_806,refute_7_886]) ).
cnf(refute_7_888,plain,
( h1(e11) != e20
| h2(e11) != op2(h1(e11),h1(e11))
| h2(e11) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_889,plain,
( h2(e11) != op2(h1(e11),h1(e11))
| h2(e11) = op2(e20,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_7_881,refute_7_888]) ).
cnf(refute_7_890,plain,
( h2(e11) = op2(e20,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e11),h1(e11))) )],[refute_7_887,refute_7_889]) ).
cnf(refute_7_891,plain,
( h1(e11) != e20
| h2(e11) != op2(e20,h1(e11))
| h2(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_892,plain,
( h2(e11) != op2(e20,h1(e11))
| h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_7_881,refute_7_891]) ).
cnf(refute_7_893,plain,
( h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h1(e11))) )],[refute_7_890,refute_7_892]) ).
cnf(refute_7_894,plain,
( h2(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h2(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_7_895,plain,
( h2(e11) != op2(e20,e20)
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_894]) ).
cnf(refute_7_896,plain,
( h2(e11) = h1(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e20)) )],[refute_7_893,refute_7_895]) ).
cnf(refute_7_897,plain,
( h2(e11) != h1(e13)
| h2(e11) != op2(e20,h2(e13))
| h1(e13) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_898,plain,
( h2(e11) != op2(e20,h2(e13))
| h1(e13) = op2(e20,h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_7_896,refute_7_897]) ).
cnf(refute_7_899,plain,
( h1(e13) = op2(e20,h2(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) )],[refute_7_884,refute_7_898]) ).
cnf(refute_7_900,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_7_163]) ).
cnf(refute_7_901,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_7_902,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_901]) ).
cnf(refute_7_903,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_7_902,refute_7_900]) ).
cnf(refute_7_904,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_7_164]) ).
cnf(refute_7_905,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_906,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_65,refute_7_905]) ).
cnf(refute_7_907,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_7_904,refute_7_906]) ).
cnf(refute_7_908,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_907,refute_7_820]) ).
cnf(refute_7_909,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_7_908,refute_7_17]) ).
cnf(refute_7_910,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_7_911,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_8,refute_7_910]) ).
cnf(refute_7_912,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_909,refute_7_911]) ).
cnf(refute_7_913,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_7_912,refute_7_21]) ).
cnf(refute_7_914,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_915,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_45,refute_7_914]) ).
cnf(refute_7_916,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_7_913,refute_7_915]) ).
cnf(refute_7_917,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_916,refute_7_761]) ).
cnf(refute_7_918,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_7_165]) ).
cnf(refute_7_919,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_7_920,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_15,refute_7_919]) ).
cnf(refute_7_921,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_918,refute_7_920]) ).
cnf(refute_7_922,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_921,refute_7_410]) ).
cnf(refute_7_923,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_7_924,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_171,refute_7_923]) ).
cnf(refute_7_925,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_922,refute_7_924]) ).
cnf(refute_7_926,plain,
e20 != e21,
inference(canonicalize,[],[normalize_7_166]) ).
cnf(refute_7_927,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_7_925,refute_7_926]) ).
cnf(refute_7_928,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_929,plain,
( e21 != e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_927,refute_7_928]) ).
cnf(refute_7_930,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_929,refute_7_917]) ).
cnf(refute_7_931,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_930]) ).
cnf(refute_7_932,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_933,plain,
( h1(e13) != e21
| h1(e13) = e22
| h1(e13) = op2(e20,e22)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_7_931,refute_7_932]) ).
cnf(refute_7_934,plain,
( h1(e13) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_7_933,refute_7_903]) ).
cnf(refute_7_935,plain,
( h1(e13) != e21
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_936,plain,
( h1(e13) != e21
| e21 = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_934,refute_7_935]) ).
cnf(refute_7_937,plain,
( h1(e13) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_936,refute_7_761]) ).
cnf(refute_7_938,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_7_791,refute_7_937]) ).
cnf(refute_7_939,plain,
( h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_938]) ).
cnf(refute_7_940,plain,
( h1(e13) != op2(e20,h2(e13))
| h2(e13) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_941,plain,
( h1(e13) != op2(e20,h2(e13))
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_939,refute_7_940]) ).
cnf(refute_7_942,plain,
( h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,h2(e13))) )],[refute_7_899,refute_7_941]) ).
cnf(refute_7_943,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_7_942,refute_7_903]) ).
cnf(refute_7_944,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_7_943,refute_7_438]) ).
cnf(refute_7_945,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_7_946,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_7_944,refute_7_945]) ).
cnf(refute_7_947,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_7_167]) ).
cnf(refute_7_948,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_7_157,refute_7_947]) ).
cnf(refute_7_949,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_7_181,refute_7_948]) ).
cnf(refute_7_950,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_7_437,refute_7_949]) ).
cnf(refute_7_951,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_7_952,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_737,refute_7_951]) ).
cnf(refute_7_953,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_7_952,refute_7_950]) ).
cnf(refute_7_954,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_7_943,refute_7_953]) ).
cnf(refute_7_955,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_956,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_954,refute_7_955]) ).
cnf(refute_7_957,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_7_956,refute_7_946]) ).
cnf(refute_7_958,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_7_957,refute_7_0]) ).
cnf(refute_7_959,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_155,refute_7_958]) ).
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) != 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_8_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_8_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_8_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_8_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_8_4,normalize_8_5]) ).
fof(normalize_8_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_8_3,normalize_8_6,normalize_8_5]) ).
fof(normalize_8_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_8_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_8_7,normalize_8_8]) ).
fof(normalize_8_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_2,normalize_8_9,normalize_8_6,normalize_8_5,normalize_8_8]) ).
fof(normalize_8_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_8_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_8_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_8_11,normalize_8_12]) ).
fof(normalize_8_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_10,normalize_8_13,normalize_8_12]) ).
fof(normalize_8_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_8_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_14,normalize_8_15]) ).
fof(normalize_8_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_8_17]) ).
fof(normalize_8_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_9]) ).
fof(normalize_8_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_8_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_8]) ).
fof(normalize_8_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_8_23]) ).
fof(normalize_8_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_8_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_8_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_6]) ).
fof(normalize_8_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_8_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_8_33]) ).
fof(normalize_8_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_5]) ).
fof(normalize_8_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_8_35]) ).
fof(normalize_8_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_8_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_8_37]) ).
fof(normalize_8_39,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_8_37]) ).
fof(normalize_8_40,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_8_37]) ).
fof(normalize_8_41,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_8_35]) ).
fof(normalize_8_42,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_8_33]) ).
fof(normalize_8_43,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_44,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_8_33]) ).
fof(normalize_8_45,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_13]) ).
fof(normalize_8_46,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_8_45]) ).
fof(normalize_8_47,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_12]) ).
fof(normalize_8_48,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_8_47]) ).
fof(normalize_8_49,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_50,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_51,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_52,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_53,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_54,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_55,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_8_37]) ).
fof(normalize_8_56,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_8_33]) ).
fof(normalize_8_57,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_8_58,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_8_57]) ).
fof(normalize_8_59,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_54,normalize_8_55,normalize_8_56,normalize_8_58]) ).
fof(normalize_8_60,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_61,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_62,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_15]) ).
fof(normalize_8_63,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_8_62]) ).
fof(normalize_8_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_8_65,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_8_64]) ).
fof(normalize_8_66,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_67,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_68,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_69,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_70,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_71,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_8_72,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_8_71]) ).
fof(normalize_8_73,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_74,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_8_71]) ).
fof(normalize_8_75,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_76,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_77,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_78,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_79,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_80,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_81,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_82,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_83,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_84,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_85,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_8_71]) ).
fof(normalize_8_86,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_8_87,plain,
e10 != e12,
inference(conjunct,[],[normalize_8_86]) ).
fof(normalize_8_88,plain,
e11 != e12,
inference(conjunct,[],[normalize_8_86]) ).
fof(normalize_8_89,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_90,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_91,plain,
e11 != e13,
inference(conjunct,[],[normalize_8_86]) ).
fof(normalize_8_92,plain,
e12 != e13,
inference(conjunct,[],[normalize_8_86]) ).
fof(normalize_8_93,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_94,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_95,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_96,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_97,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_98,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_99,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_100,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_101,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_102,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_103,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_104,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_105,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_106,plain,
e10 != e11,
inference(conjunct,[],[normalize_8_86]) ).
fof(normalize_8_107,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_108,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_8_109,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_8_110,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_8_111,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_8_109,normalize_8_110]) ).
fof(normalize_8_112,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_108,normalize_8_111,normalize_8_110]) ).
fof(normalize_8_113,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_8_114,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_112,normalize_8_113]) ).
fof(normalize_8_115,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_8_114]) ).
fof(normalize_8_116,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_8_115]) ).
fof(normalize_8_117,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_118,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_8_119,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_8_118]) ).
fof(normalize_8_120,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_8_119,normalize_8_16,normalize_8_13,normalize_8_9,normalize_8_6,normalize_8_5,normalize_8_8,normalize_8_15,normalize_8_12]) ).
fof(normalize_8_121,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_8_120,normalize_8_114,normalize_8_111,normalize_8_113,normalize_8_110]) ).
fof(normalize_8_122,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_8_123,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_8_124,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_8_122,normalize_8_123]) ).
fof(normalize_8_125,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_8_121,normalize_8_124,normalize_8_123]) ).
fof(normalize_8_126,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_8_127,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_8_125,normalize_8_126]) ).
fof(normalize_8_128,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_8_127]) ).
fof(normalize_8_129,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_8_128]) ).
fof(normalize_8_130,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_8_124]) ).
fof(normalize_8_131,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_8_130]) ).
fof(normalize_8_132,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_123]) ).
fof(normalize_8_133,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_8_132]) ).
fof(normalize_8_134,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_8_132]) ).
fof(normalize_8_135,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_8_126]) ).
fof(normalize_8_136,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_8_135]) ).
fof(normalize_8_137,plain,
e20 != e22,
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_138,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_8_128]) ).
fof(normalize_8_139,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_8_64]) ).
fof(normalize_8_140,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_141,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_142,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_143,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_144,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_145,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_146,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_113]) ).
fof(normalize_8_147,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_8_146]) ).
fof(normalize_8_148,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_8_146]) ).
fof(normalize_8_149,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_8_64]) ).
fof(normalize_8_150,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_151,plain,
e21 != e22,
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_152,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_153,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_154,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_8_153]) ).
fof(normalize_8_155,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_156,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_8_153]) ).
fof(normalize_8_157,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_158,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_159,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_111]) ).
fof(normalize_8_160,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_8_159]) ).
fof(normalize_8_161,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_162,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_163,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_8_110]) ).
fof(normalize_8_164,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_8_163]) ).
fof(normalize_8_165,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_8_163]) ).
fof(normalize_8_166,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_8_64]) ).
fof(normalize_8_167,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_168,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_169,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_170,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_171,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_172,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_8_59]) ).
fof(normalize_8_173,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_8_81]) ).
fof(normalize_8_174,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_175,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_8_115]) ).
fof(normalize_8_176,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_8_118]) ).
fof(normalize_8_177,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_8_17]) ).
cnf(refute_8_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_8_22]) ).
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( $equal(X,X) )],[refute_8_4,refute_8_5]) ).
cnf(refute_8_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_8_3,refute_8_7]) ).
cnf(refute_8_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_8_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_9]) ).
cnf(refute_8_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_8_2,refute_8_10]) ).
cnf(refute_8_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_8_13,refute_8_14]) ).
cnf(refute_8_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_8_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_8_12,refute_8_17]) ).
cnf(refute_8_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_8_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_20,refute_8_19]) ).
cnf(refute_8_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_8_18,refute_8_21]) ).
cnf(refute_8_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_8_22,refute_8_11]) ).
cnf(refute_8_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_8_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_25,refute_8_26]) ).
cnf(refute_8_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_27]) ).
cnf(refute_8_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_8_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_29,refute_8_30]) ).
cnf(refute_8_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_31]) ).
cnf(refute_8_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_6,refute_8_33]) ).
cnf(refute_8_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_32,refute_8_35]) ).
cnf(refute_8_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_8_28,refute_8_36]) ).
cnf(refute_8_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_8_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_8_37,refute_8_38]) ).
cnf(refute_8_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_39]) ).
cnf(refute_8_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_8_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_8_40,refute_8_41]) ).
cnf(refute_8_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_24,refute_8_42]) ).
cnf(refute_8_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_8_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_8_43,refute_8_44]) ).
cnf(refute_8_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_46]) ).
cnf(refute_8_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_23,refute_8_47]) ).
cnf(refute_8_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_48,refute_8_49]) ).
cnf(refute_8_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_8_52,refute_8_53]) ).
cnf(refute_8_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_8_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_8_55,refute_8_56]) ).
cnf(refute_8_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_57]) ).
cnf(refute_8_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_8_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_8_58,refute_8_59]) ).
cnf(refute_8_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_8_60,refute_8_51]) ).
cnf(refute_8_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_8_63,refute_8_64]) ).
cnf(refute_8_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_8_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_8_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_8_66,refute_8_67]) ).
cnf(refute_8_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_68]) ).
cnf(refute_8_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_8_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_8_69,refute_8_70]) ).
cnf(refute_8_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_8_71,refute_8_62]) ).
cnf(refute_8_73,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_74,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_8_75,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_8_76,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_8_74,refute_8_75]) ).
cnf(refute_8_77,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_76]) ).
cnf(refute_8_78,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_8_79,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_8_80,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_8_78,refute_8_79]) ).
cnf(refute_8_81,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_80]) ).
cnf(refute_8_82,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_8_83,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_8_77,refute_8_83]) ).
cnf(refute_8_85,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_8_86,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_8_84,refute_8_85]) ).
cnf(refute_8_87,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_8_73,refute_8_86]) ).
cnf(refute_8_88,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_89,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_8_90,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_8_91,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_8_89,refute_8_90]) ).
cnf(refute_8_92,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_91]) ).
cnf(refute_8_93,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_8_94,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_8_92,refute_8_93]) ).
cnf(refute_8_95,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_8_88,refute_8_94]) ).
cnf(refute_8_96,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_97,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_8_98,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_97]) ).
cnf(refute_8_99,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_8_96,refute_8_98]) ).
cnf(refute_8_100,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_101,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_8_99,refute_8_100]) ).
cnf(refute_8_102,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_8_95,refute_8_101]) ).
cnf(refute_8_103,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_8_104,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_103]) ).
cnf(refute_8_105,plain,
( h1(e10) = h1(e13)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_8_102,refute_8_104]) ).
cnf(refute_8_106,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_8_107,plain,
( h1(e13) = h1(e10)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_8_105,refute_8_106]) ).
cnf(refute_8_108,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != h1(e10)
| h1(e11) = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_8_109,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e10),h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_8_107,refute_8_108]) ).
cnf(refute_8_110,plain,
( h1(e11) = op2(h1(e10),h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_8_87,refute_8_109]) ).
cnf(refute_8_111,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_112,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_8_99,refute_8_111]) ).
cnf(refute_8_113,plain,
( h1(e11) = op2(h1(e13),e20)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_8_87,refute_8_112]) ).
cnf(refute_8_114,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h1(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_8_115,plain,
op2(h1(e13),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_8_95,refute_8_114]) ).
cnf(refute_8_116,plain,
( h1(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h1(e10)
| h1(e11) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h1(e10)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_8_117,plain,
( h1(e11) != op2(h1(e13),e20)
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e10)) )],[refute_8_115,refute_8_116]) ).
cnf(refute_8_118,plain,
( h1(e11) = h1(e10)
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),e20)) )],[refute_8_113,refute_8_117]) ).
cnf(refute_8_119,plain,
( h1(e13) != e20
| h1(e13) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_8_120,plain,
( h1(e13) != e20
| h1(e10) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_8_107,refute_8_119]) ).
cnf(refute_8_121,plain,
( h1(e10) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_8_99,refute_8_120]) ).
cnf(refute_8_122,plain,
( h1(e10) != e20
| h1(e11) != h1(e10)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_8_123,plain,
( h1(e11) != h1(e10)
| h1(e11) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_8_121,refute_8_122]) ).
cnf(refute_8_124,plain,
( h1(e11) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_8_118,refute_8_123]) ).
cnf(refute_8_125,plain,
( h1(e11) != e20
| h1(e11) != op2(h1(e10),h1(e13))
| e20 = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e10),h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_8_126,plain,
( h1(e11) != op2(h1(e10),h1(e13))
| e20 = op2(h1(e10),h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_124,refute_8_125]) ).
cnf(refute_8_127,plain,
( e20 = op2(h1(e10),h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),h1(e13))) )],[refute_8_110,refute_8_126]) ).
cnf(refute_8_128,plain,
( e20 != op2(h1(e10),h1(e13))
| h1(e10) != e20
| e20 = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h1(e10),h1(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_129,plain,
( e20 != op2(h1(e10),h1(e13))
| e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_8_121,refute_8_128]) ).
cnf(refute_8_130,plain,
( e20 = op2(e20,h1(e13))
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e10),h1(e13))) )],[refute_8_127,refute_8_129]) ).
cnf(refute_8_131,plain,
( e20 != op2(e20,h1(e13))
| op2(e20,h1(e13)) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,h1(e13))))]]) ).
cnf(refute_8_132,plain,
( op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,h1(e13))) )],[refute_8_130,refute_8_131]) ).
cnf(refute_8_133,plain,
( e20 != e20
| op2(e20,h1(e13)) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e13)),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_8_134,plain,
( e20 != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_8_132,refute_8_133]) ).
cnf(refute_8_135,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_8_134,refute_8_72]) ).
cnf(refute_8_136,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_8_137,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_136,refute_8_135]) ).
cnf(refute_8_138,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_8_137,refute_8_61]) ).
cnf(refute_8_139,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_140,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_8_141,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_142,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_8_140,refute_8_141]) ).
cnf(refute_8_143,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_142]) ).
cnf(refute_8_144,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_8_145,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_146,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_8_144,refute_8_145]) ).
cnf(refute_8_147,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_146]) ).
cnf(refute_8_148,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_8_149,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_8_147,refute_8_148]) ).
cnf(refute_8_150,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_8_143,refute_8_149]) ).
cnf(refute_8_151,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_8_152,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_8_150,refute_8_151]) ).
cnf(refute_8_153,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_8_139,refute_8_152]) ).
cnf(refute_8_154,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_155,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_156,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_155]) ).
cnf(refute_8_157,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_154,refute_8_156]) ).
cnf(refute_8_158,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_8_137,refute_8_157]) ).
cnf(refute_8_159,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_160,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_158,refute_8_159]) ).
cnf(refute_8_161,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_160]) ).
cnf(refute_8_162,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_163,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_158,refute_8_162]) ).
cnf(refute_8_164,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_163]) ).
cnf(refute_8_165,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_166,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_8_167,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_168,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_8_166,refute_8_167]) ).
cnf(refute_8_169,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_168]) ).
cnf(refute_8_170,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_8_171,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_8_169,refute_8_170]) ).
cnf(refute_8_172,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_8_165,refute_8_171]) ).
cnf(refute_8_173,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_8_174,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_8_172,refute_8_173]) ).
cnf(refute_8_175,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_8_176,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_8_174,refute_8_175]) ).
cnf(refute_8_177,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_8_164,refute_8_176]) ).
cnf(refute_8_178,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_179,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_158,refute_8_178]) ).
cnf(refute_8_180,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_8_172,refute_8_179]) ).
cnf(refute_8_181,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_8_182,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_181]) ).
cnf(refute_8_183,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_8_180,refute_8_182]) ).
cnf(refute_8_184,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_8_185,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_8_183,refute_8_184]) ).
cnf(refute_8_186,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_8_187,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_8_185,refute_8_186]) ).
cnf(refute_8_188,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_158,refute_8_187]) ).
cnf(refute_8_189,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_8_190,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_8_188,refute_8_189]) ).
cnf(refute_8_191,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_8_177,refute_8_190]) ).
cnf(refute_8_192,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_8_193,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_191,refute_8_192]) ).
cnf(refute_8_194,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_8_161,refute_8_193]) ).
cnf(refute_8_195,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_8_196,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_8_194,refute_8_195]) ).
cnf(refute_8_197,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_8_198,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_8_196,refute_8_197]) ).
cnf(refute_8_199,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_8_198,refute_8_138]) ).
cnf(refute_8_200,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_8_201,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_199]) ).
cnf(refute_8_202,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_8_201,refute_8_50]) ).
cnf(refute_8_203,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_8_202,refute_8_1]) ).
cnf(refute_8_204,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_205,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_206,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_207,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_208,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_8_209,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_210,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_8_208,refute_8_209]) ).
cnf(refute_8_211,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_210]) ).
cnf(refute_8_212,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_8_213,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_8_211,refute_8_212]) ).
cnf(refute_8_214,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_8_207,refute_8_213]) ).
cnf(refute_8_215,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_8_216,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_8_214,refute_8_215]) ).
cnf(refute_8_217,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_218,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_216,refute_8_217]) ).
cnf(refute_8_219,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_8_218,refute_8_206]) ).
cnf(refute_8_220,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_205,refute_8_219]) ).
cnf(refute_8_221,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_8_220,refute_8_204]) ).
cnf(refute_8_222,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_51]) ).
cnf(refute_8_223,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_8_224,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_216,refute_8_223]) ).
cnf(refute_8_225,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_8_224,refute_8_222]) ).
cnf(refute_8_226,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_8_221,refute_8_225]) ).
cnf(refute_8_227,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_8_226,refute_8_203]) ).
cnf(refute_8_228,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_8_52]) ).
cnf(refute_8_229,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_230,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_229]) ).
cnf(refute_8_231,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_8_230,refute_8_228]) ).
cnf(refute_8_232,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_8_53]) ).
cnf(refute_8_233,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_8_234,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_233]) ).
cnf(refute_8_235,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_234]) ).
cnf(refute_8_236,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_237,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_238,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_8_236,refute_8_237]) ).
cnf(refute_8_239,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_238]) ).
cnf(refute_8_240,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_241,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_8_239,refute_8_240]) ).
cnf(refute_8_242,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_8_232,refute_8_241]) ).
cnf(refute_8_243,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_244,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_8_242,refute_8_243]) ).
cnf(refute_8_245,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_8_246,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_245]) ).
cnf(refute_8_247,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_8_246,refute_8_231]) ).
cnf(refute_8_248,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_8_60]) ).
cnf(refute_8_249,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_8_61]) ).
cnf(refute_8_250,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_251,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_252,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_8_250,refute_8_251]) ).
cnf(refute_8_253,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_252]) ).
cnf(refute_8_254,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_255,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_8_253,refute_8_254]) ).
cnf(refute_8_256,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_8_248,refute_8_255]) ).
cnf(refute_8_257,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_8_63]) ).
cnf(refute_8_258,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_8_65]) ).
cnf(refute_8_259,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_8_258,refute_8_10]) ).
cnf(refute_8_260,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_66]) ).
cnf(refute_8_261,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_262,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_261]) ).
cnf(refute_8_263,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_8_262,refute_8_260]) ).
cnf(refute_8_264,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_8_265,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_8_264,refute_8_263]) ).
cnf(refute_8_266,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_8_259,refute_8_265]) ).
cnf(refute_8_267,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_266,refute_8_47]) ).
cnf(refute_8_268,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_8_269,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_268]) ).
cnf(refute_8_270,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_267,refute_8_269]) ).
cnf(refute_8_271,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_270,refute_8_49]) ).
cnf(refute_8_272,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_8_273,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_8_271,refute_8_272]) ).
cnf(refute_8_274,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_8_273,refute_8_257]) ).
cnf(refute_8_275,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_276,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_274,refute_8_275]) ).
cnf(refute_8_277,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_8_256,refute_8_276]) ).
cnf(refute_8_278,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_8_279,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_278]) ).
cnf(refute_8_280,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_8_277,refute_8_279]) ).
cnf(refute_8_281,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_8_68]) ).
cnf(refute_8_282,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_8_70]) ).
cnf(refute_8_283,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_8_72]) ).
cnf(refute_8_284,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_8_285,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_8_283,refute_8_284]) ).
cnf(refute_8_286,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_287,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_286]) ).
cnf(refute_8_288,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_8_287,refute_8_282]) ).
cnf(refute_8_289,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_281,refute_8_288]) ).
cnf(refute_8_290,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_73]) ).
cnf(refute_8_291,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_8_74]) ).
cnf(refute_8_292,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_8_293,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_294,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_8_292,refute_8_293]) ).
cnf(refute_8_295,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_294]) ).
cnf(refute_8_296,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_8_297,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_8_295,refute_8_296]) ).
cnf(refute_8_298,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_8_291,refute_8_297]) ).
cnf(refute_8_299,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_8_300,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_8_298,refute_8_299]) ).
cnf(refute_8_301,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_302,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_300,refute_8_301]) ).
cnf(refute_8_303,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_8_302,refute_8_290]) ).
cnf(refute_8_304,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_289,refute_8_303]) ).
cnf(refute_8_305,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_306,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_8_304,refute_8_305]) ).
cnf(refute_8_307,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_8_280,refute_8_306]) ).
cnf(refute_8_308,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_8_309,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_308]) ).
cnf(refute_8_310,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_8_307,refute_8_309]) ).
cnf(refute_8_311,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_8_312,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_311,refute_8_49]) ).
cnf(refute_8_313,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_8_310,refute_8_312]) ).
cnf(refute_8_314,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_315,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_313,refute_8_314]) ).
cnf(refute_8_316,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_8_280,refute_8_315]) ).
cnf(refute_8_317,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_8_75]) ).
cnf(refute_8_318,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_8_319,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_320,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_318,refute_8_319]) ).
cnf(refute_8_321,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_320]) ).
cnf(refute_8_322,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_323,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_324,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_322,refute_8_323]) ).
cnf(refute_8_325,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_324]) ).
cnf(refute_8_326,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_327,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_325,refute_8_326]) ).
cnf(refute_8_328,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_8_321,refute_8_327]) ).
cnf(refute_8_329,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_8_330,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_8_328,refute_8_329]) ).
cnf(refute_8_331,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_330]) ).
cnf(refute_8_332,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_333,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_8_331,refute_8_332]) ).
cnf(refute_8_334,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_317,refute_8_333]) ).
cnf(refute_8_335,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_336,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_335]) ).
cnf(refute_8_337,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_316,refute_8_336]) ).
cnf(refute_8_338,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_337,refute_8_159]) ).
cnf(refute_8_339,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_338]) ).
cnf(refute_8_340,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_341,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_337,refute_8_340]) ).
cnf(refute_8_342,plain,
( h2(e11) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_8_339,refute_8_341]) ).
cnf(refute_8_343,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_8_344,plain,
( h2(e11) != op2(e21,e21)
| h2(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_343]) ).
cnf(refute_8_345,plain,
( h2(e11) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_8_342,refute_8_344]) ).
cnf(refute_8_346,plain,
( h2(e11) != h2(e13)
| h2(e13) = h2(e11) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_8_347,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e13)) )],[refute_8_345,refute_8_346]) ).
cnf(refute_8_348,plain,
( h2(e11) != h4(e10)
| h2(e13) != h2(e11)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h2(e11)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_8_349,plain,
( h2(e11) != h4(e10)
| h2(e13) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_8_347,refute_8_348]) ).
cnf(refute_8_350,plain,
( h2(e11) != h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_8_349,refute_8_247]) ).
cnf(refute_8_351,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_8_76]) ).
cnf(refute_8_352,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_77]) ).
cnf(refute_8_353,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_78]) ).
cnf(refute_8_354,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_8_79]) ).
cnf(refute_8_355,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_356,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_357,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_8_355,refute_8_356]) ).
cnf(refute_8_358,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_357]) ).
cnf(refute_8_359,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_360,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_8_358,refute_8_359]) ).
cnf(refute_8_361,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_8_354,refute_8_360]) ).
cnf(refute_8_362,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_363,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_274,refute_8_362]) ).
cnf(refute_8_364,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_8_361,refute_8_363]) ).
cnf(refute_8_365,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_366,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_337,refute_8_365]) ).
cnf(refute_8_367,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_8_364,refute_8_366]) ).
cnf(refute_8_368,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_8_80]) ).
cnf(refute_8_369,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_8_370,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_371,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_8_369,refute_8_370]) ).
cnf(refute_8_372,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_371]) ).
cnf(refute_8_373,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_8_374,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_8_372,refute_8_373]) ).
cnf(refute_8_375,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_8_368,refute_8_374]) ).
cnf(refute_8_376,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_377,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_274,refute_8_376]) ).
cnf(refute_8_378,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_8_375,refute_8_377]) ).
cnf(refute_8_379,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_8_82]) ).
cnf(refute_8_380,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_379,refute_8_288]) ).
cnf(refute_8_381,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op1(e10,e13) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_382,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_380,refute_8_381]) ).
cnf(refute_8_383,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_8_378,refute_8_382]) ).
cnf(refute_8_384,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_8_385,plain,
( h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_384]) ).
cnf(refute_8_386,plain,
( e21 = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_8_383,refute_8_385]) ).
cnf(refute_8_387,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_83]) ).
cnf(refute_8_388,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_8_389,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_388]) ).
cnf(refute_8_390,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_8_389,refute_8_387]) ).
cnf(refute_8_391,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_8_392,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_391]) ).
cnf(refute_8_393,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_8_392,refute_8_390]) ).
cnf(refute_8_394,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_8_395,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_394,refute_8_393]) ).
cnf(refute_8_396,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_8_386,refute_8_395]) ).
cnf(refute_8_397,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_398,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_396,refute_8_397]) ).
cnf(refute_8_399,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_8_367,refute_8_398]) ).
cnf(refute_8_400,plain,
( e21 = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_8_399,refute_8_385]) ).
cnf(refute_8_401,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_8_400,refute_8_395]) ).
cnf(refute_8_402,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_8_403,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_401,refute_8_402]) ).
cnf(refute_8_404,plain,
( e13 != op1(e13,e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_8_403,refute_8_353]) ).
cnf(refute_8_405,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_8_84]) ).
cnf(refute_8_406,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_8_407,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_300,refute_8_406]) ).
cnf(refute_8_408,plain,
( e10 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_8_405,refute_8_407]) ).
cnf(refute_8_409,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_8_85]) ).
cnf(refute_8_410,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_8_411,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_8_412,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_410,refute_8_411]) ).
cnf(refute_8_413,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_412]) ).
cnf(refute_8_414,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_8_415,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_416,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_414,refute_8_415]) ).
cnf(refute_8_417,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_416]) ).
cnf(refute_8_418,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_419,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_417,refute_8_418]) ).
cnf(refute_8_420,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_8_413,refute_8_419]) ).
cnf(refute_8_421,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_8_422,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_8_420,refute_8_421]) ).
cnf(refute_8_423,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_409,refute_8_422]) ).
cnf(refute_8_424,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_425,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_8_423,refute_8_424]) ).
cnf(refute_8_426,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_8_427,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_426]) ).
cnf(refute_8_428,plain,
( e10 = e12
| e11 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_408,refute_8_427]) ).
cnf(refute_8_429,plain,
e10 != e12,
inference(canonicalize,[],[normalize_8_87]) ).
cnf(refute_8_430,plain,
( e11 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_428,refute_8_429]) ).
cnf(refute_8_431,plain,
e11 != e12,
inference(canonicalize,[],[normalize_8_88]) ).
cnf(refute_8_432,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_430,refute_8_431]) ).
cnf(refute_8_433,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_8_89]) ).
cnf(refute_8_434,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_90]) ).
cnf(refute_8_435,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_8_436,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_435]) ).
cnf(refute_8_437,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_8_436,refute_8_434]) ).
cnf(refute_8_438,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_8_439,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_8_438,refute_8_437]) ).
cnf(refute_8_440,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_8_433,refute_8_439]) ).
cnf(refute_8_441,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_8_442,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_441]) ).
cnf(refute_8_443,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_8_440,refute_8_442]) ).
cnf(refute_8_444,plain,
e11 != e13,
inference(canonicalize,[],[normalize_8_91]) ).
cnf(refute_8_445,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_443,refute_8_444]) ).
cnf(refute_8_446,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_8_447,plain,
( op1(e13,e11) != e12
| e13 = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_8_445,refute_8_446]) ).
cnf(refute_8_448,plain,
( e13 = e12
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_8_432,refute_8_447]) ).
cnf(refute_8_449,plain,
e12 != e13,
inference(canonicalize,[],[normalize_8_92]) ).
cnf(refute_8_450,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_8_451,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_8_450,refute_8_449]) ).
cnf(refute_8_452,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_8_448,refute_8_451]) ).
cnf(refute_8_453,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_8_454,plain,
( e13 != e13
| e13 = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_452,refute_8_453]) ).
cnf(refute_8_455,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_8_454,refute_8_404]) ).
cnf(refute_8_456,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_8_457,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_456,refute_8_455]) ).
cnf(refute_8_458,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_8_459,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_457,refute_8_458]) ).
cnf(refute_8_460,plain,
( op1(e12,e10) != e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_8_459,refute_8_352]) ).
cnf(refute_8_461,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_8_93]) ).
cnf(refute_8_462,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_463,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_464,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_462,refute_8_463]) ).
cnf(refute_8_465,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_464]) ).
cnf(refute_8_466,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) ),[1],$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_8_467,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_8_465,refute_8_466]) ).
cnf(refute_8_468,plain,
h4(op1(e12,e10)) != op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_467,refute_8_461]) ).
cnf(refute_8_469,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_8_94]) ).
cnf(refute_8_470,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_471,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_274,refute_8_470]) ).
cnf(refute_8_472,plain,
( h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_469,refute_8_471]) ).
cnf(refute_8_473,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(op2(e23,h4(e10))))]]) ).
cnf(refute_8_474,plain,
( op2(e23,h4(e10)) = h4(op1(e10,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_8_472,refute_8_473]) ).
cnf(refute_8_475,plain,
( h4(op1(e12,e10)) != h4(op1(e10,e10))
| op2(e23,h4(e10)) != h4(op1(e10,e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[1],$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_8_476,plain,
( h4(op1(e12,e10)) != h4(op1(e10,e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),h4(op1(e10,e10))) )],[refute_8_474,refute_8_475]) ).
cnf(refute_8_477,plain,
( h4(op1(e12,e10)) != h4(op1(e10,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_8_476,refute_8_468]) ).
cnf(refute_8_478,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_479,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_274,refute_8_478]) ).
cnf(refute_8_480,plain,
( h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_469,refute_8_479]) ).
cnf(refute_8_481,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_8_482,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_8_256,refute_8_481]) ).
cnf(refute_8_483,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_8_484,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_8_482,refute_8_483]) ).
cnf(refute_8_485,plain,
( h4(op1(e10,e10)) = h4(op1(e10,e12))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e23)) )],[refute_8_480,refute_8_484]) ).
cnf(refute_8_486,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| op1(e10,e12) != e11
| h4(op1(e10,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_487,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| h4(op1(e10,e10)) = h4(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_313,refute_8_486]) ).
cnf(refute_8_488,plain,
( h4(op1(e10,e10)) = h4(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) )],[refute_8_485,refute_8_487]) ).
cnf(refute_8_489,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_8_490,plain,
( h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_489]) ).
cnf(refute_8_491,plain,
( h4(op1(e10,e10)) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_8_488,refute_8_490]) ).
cnf(refute_8_492,plain,
( h4(op1(e10,e10)) != h2(e13)
| h4(op1(e12,e10)) != h2(e13)
| h4(op1(e12,e10)) = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),h4(op1(e10,e10))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_8_493,plain,
( h4(op1(e12,e10)) != h2(e13)
| h4(op1(e12,e10)) = h4(op1(e10,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h2(e13)) )],[refute_8_491,refute_8_492]) ).
cnf(refute_8_494,plain,
( h4(op1(e12,e10)) != h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e10,e10))) )],[refute_8_493,refute_8_477]) ).
cnf(refute_8_495,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_8_95]) ).
cnf(refute_8_496,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_8_96]) ).
cnf(refute_8_497,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_498,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_497]) ).
cnf(refute_8_499,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_8_498,refute_8_496]) ).
cnf(refute_8_500,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_8_495,refute_8_499]) ).
cnf(refute_8_501,plain,
( h4(e11) != h2(e13)
| op1(e12,e10) != e11
| h4(op1(e12,e10)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),h2(e13)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_502,plain,
( h4(e11) != h2(e13)
| h4(op1(e12,e10)) = h2(e13)
| op1(e12,e10) = e10
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_500,refute_8_501]) ).
cnf(refute_8_503,plain,
( h4(e11) != h2(e13)
| op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h2(e13)) )],[refute_8_502,refute_8_494]) ).
cnf(refute_8_504,plain,
( h2(e13) != h2(e13)
| h4(e11) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_8_505,plain,
( h2(e13) != h2(e13)
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_504]) ).
cnf(refute_8_506,plain,
( h2(e13) != h2(e13)
| op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_505,refute_8_503]) ).
cnf(refute_8_507,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_8_508,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_8_507,refute_8_506]) ).
cnf(refute_8_509,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_510,plain,
( e12 != e12
| op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_508,refute_8_509]) ).
cnf(refute_8_511,plain,
( e12 != e12
| op1(e12,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_510,refute_8_460]) ).
cnf(refute_8_512,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_8_513,plain,
( op1(e12,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_512,refute_8_511]) ).
cnf(refute_8_514,plain,
( op1(e11,e10) != e10
| op1(e12,e10) != e10
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_8_515,plain,
( op1(e11,e10) != e10
| op1(e11,e10) = op1(e12,e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_513,refute_8_514]) ).
cnf(refute_8_516,plain,
( op1(e11,e10) != e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_8_515,refute_8_351]) ).
cnf(refute_8_517,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_8_97]) ).
cnf(refute_8_518,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| op2(h2(e13),h2(e13)) = h2(e11) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_8_519,plain,
op2(h2(e13),h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_518]) ).
cnf(refute_8_520,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).
cnf(refute_8_521,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_522,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_8_520,refute_8_521]) ).
cnf(refute_8_523,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_522]) ).
cnf(refute_8_524,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_8_525,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_526,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_8_524,refute_8_525]) ).
cnf(refute_8_527,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_526]) ).
cnf(refute_8_528,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_8_529,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_8_527,refute_8_528]) ).
cnf(refute_8_530,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_8_523,refute_8_529]) ).
cnf(refute_8_531,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_8_532,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_8_530,refute_8_531]) ).
cnf(refute_8_533,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_8_519,refute_8_532]) ).
cnf(refute_8_534,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_8_535,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_8_533,refute_8_534]) ).
cnf(refute_8_536,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_8_517,refute_8_535]) ).
cnf(refute_8_537,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_98]) ).
cnf(refute_8_538,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_8_99]) ).
cnf(refute_8_539,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_100]) ).
cnf(refute_8_540,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_541,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_300,refute_8_540]) ).
cnf(refute_8_542,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_8_541,refute_8_539]) ).
cnf(refute_8_543,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_8_538,refute_8_542]) ).
cnf(refute_8_544,plain,
( op1(e10,e13) != e10
| op1(e11,e13) != e10
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_545,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e11,e13)
| op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_543,refute_8_544]) ).
cnf(refute_8_546,plain,
( op1(e10,e13) != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_8_545,refute_8_537]) ).
cnf(refute_8_547,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_8_101]) ).
cnf(refute_8_548,plain,
( e13 != op1(e10,e13)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_8_549,plain,
( e13 != op1(e10,e13)
| op1(e10,e10) = op1(e10,e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_401,refute_8_548]) ).
cnf(refute_8_550,plain,
( e13 != op1(e10,e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_8_549,refute_8_547]) ).
cnf(refute_8_551,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_8_102]) ).
cnf(refute_8_552,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_103]) ).
cnf(refute_8_553,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_8_554,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_553]) ).
cnf(refute_8_555,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_8_554,refute_8_552]) ).
cnf(refute_8_556,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_8_557,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_8_556,refute_8_555]) ).
cnf(refute_8_558,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_8_551,refute_8_557]) ).
cnf(refute_8_559,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_8_558,refute_8_442]) ).
cnf(refute_8_560,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_559,refute_8_444]) ).
cnf(refute_8_561,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_104]) ).
cnf(refute_8_562,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_8_105]) ).
cnf(refute_8_563,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_8_564,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_563]) ).
cnf(refute_8_565,plain,
( e11 = e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_562,refute_8_564]) ).
cnf(refute_8_566,plain,
e10 != e11,
inference(canonicalize,[],[normalize_8_106]) ).
cnf(refute_8_567,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_8_568,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_8_567,refute_8_566]) ).
cnf(refute_8_569,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_8_565,refute_8_568]) ).
cnf(refute_8_570,plain,
( op1(e12,e10) != e10
| op1(e12,e13) != e10
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_571,plain,
( op1(e12,e10) != e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_8_569,refute_8_570]) ).
cnf(refute_8_572,plain,
( op1(e12,e10) != e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_8_571,refute_8_561]) ).
cnf(refute_8_573,plain,
( e10 != e10
| op1(e12,e10) != e10
| op1(e12,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_8_574,plain,
( e10 != e10
| op1(e12,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_513,refute_8_573]) ).
cnf(refute_8_575,plain,
( e10 != e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_574,refute_8_572]) ).
cnf(refute_8_576,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_8_577,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_576,refute_8_575]) ).
cnf(refute_8_578,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_8_579,plain,
( op1(e11,e13) != e13
| e10 = e13
| op1(e10,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_577,refute_8_578]) ).
cnf(refute_8_580,plain,
( e10 = e13
| op1(e10,e13) = e10
| op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_560,refute_8_579]) ).
cnf(refute_8_581,plain,
( e13 != e10
| op1(e13,e12) != e10
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_582,plain,
( e13 != e10
| e13 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_300,refute_8_581]) ).
cnf(refute_8_583,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_8_582,refute_8_437]) ).
cnf(refute_8_584,plain,
( e10 != e13
| e13 = e10 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e10)),bind(Y,$fot(e13))]]) ).
cnf(refute_8_585,plain,
e10 != e13,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_8_584,refute_8_583]) ).
cnf(refute_8_586,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_8_580,refute_8_585]) ).
cnf(refute_8_587,plain,
( e13 != e13
| op1(e10,e13) != e13
| e13 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_8_588,plain,
( e13 != e13
| e13 = op1(e10,e13)
| op1(e10,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_586,refute_8_587]) ).
cnf(refute_8_589,plain,
( e13 != e13
| op1(e10,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_8_588,refute_8_550]) ).
cnf(refute_8_590,plain,
( op1(e10,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_456,refute_8_589]) ).
cnf(refute_8_591,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_592,plain,
( e10 != e10
| op1(e10,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_8_590,refute_8_591]) ).
cnf(refute_8_593,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_8_592,refute_8_546]) ).
cnf(refute_8_594,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_576,refute_8_593]) ).
cnf(refute_8_595,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e10
| h4(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_596,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e10) = h2(e11)
| op1(e11,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_594,refute_8_595]) ).
cnf(refute_8_597,plain,
( h4(e10) = h2(e11)
| op1(e11,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_536,refute_8_596]) ).
cnf(refute_8_598,plain,
( e10 != e10
| op1(e11,e10) != e10
| op1(e11,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_8_599,plain,
( e10 != e10
| h4(e10) = h2(e11)
| op1(e11,e10) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_8_597,refute_8_598]) ).
cnf(refute_8_600,plain,
( e10 != e10
| h4(e10) = h2(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_8_599,refute_8_516]) ).
cnf(refute_8_601,plain,
( h4(e10) = h2(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_576,refute_8_600]) ).
cnf(refute_8_602,plain,
( h2(e11) != h2(e11)
| h4(e10) != h2(e11)
| h2(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h4(e10)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_8_603,plain,
( h2(e11) != h2(e11)
| h2(e11) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),h2(e11)) )],[refute_8_601,refute_8_602]) ).
cnf(refute_8_604,plain,
( h2(e11) != h2(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h4(e10)) )],[refute_8_603,refute_8_350]) ).
cnf(refute_8_605,plain,
h2(e11) = h2(e11),
introduced(tautology,[refl,[$fot(h2(e11))]]) ).
cnf(refute_8_606,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(h2(e11),h2(e11)) )],[refute_8_605,refute_8_604]) ).
cnf(refute_8_607,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_8_606,refute_8_227]) ).
cnf(refute_8_608,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_8_107]) ).
cnf(refute_8_609,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_8_610,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_609]) ).
cnf(refute_8_611,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_8_610,refute_8_608]) ).
cnf(refute_8_612,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_8_116]) ).
cnf(refute_8_613,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_8_117]) ).
cnf(refute_8_614,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_8_129]) ).
cnf(refute_8_615,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_8_131]) ).
cnf(refute_8_616,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_8_615,refute_8_265]) ).
cnf(refute_8_617,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_8_133]) ).
cnf(refute_8_618,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_619,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_8_620,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_8_618,refute_8_619]) ).
cnf(refute_8_621,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_620]) ).
cnf(refute_8_622,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_8_623,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_8_621,refute_8_622]) ).
cnf(refute_8_624,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_8_623,refute_8_617]) ).
cnf(refute_8_625,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_8_626,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_627,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_8_625,refute_8_626]) ).
cnf(refute_8_628,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_627]) ).
cnf(refute_8_629,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_8_630,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_8_628,refute_8_629]) ).
cnf(refute_8_631,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_8_630,refute_8_624]) ).
cnf(refute_8_632,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_8_134]) ).
cnf(refute_8_633,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_8_634,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_632,refute_8_633]) ).
cnf(refute_8_635,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_634,refute_8_631]) ).
cnf(refute_8_636,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_8_637,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_636,refute_8_635]) ).
cnf(refute_8_638,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_8_637,refute_8_616]) ).
cnf(refute_8_639,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_8_614,refute_8_638]) ).
cnf(refute_8_640,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_8_136]) ).
cnf(refute_8_641,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_8_642,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_216,refute_8_641]) ).
cnf(refute_8_643,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_8_640,refute_8_642]) ).
cnf(refute_8_644,plain,
e20 != e22,
inference(canonicalize,[],[normalize_8_137]) ).
cnf(refute_8_645,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_643,refute_8_644]) ).
cnf(refute_8_646,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_8_639,refute_8_645]) ).
cnf(refute_8_647,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_8_648,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_8_646,refute_8_647]) ).
cnf(refute_8_649,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_8_648,refute_8_613]) ).
cnf(refute_8_650,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_8_138]) ).
cnf(refute_8_651,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_8_650,refute_8_638]) ).
cnf(refute_8_652,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_8_651,refute_8_645]) ).
cnf(refute_8_653,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_8_139]) ).
cnf(refute_8_654,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_655,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_654]) ).
cnf(refute_8_656,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_653,refute_8_655]) ).
cnf(refute_8_657,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_140]) ).
cnf(refute_8_658,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_659,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_658]) ).
cnf(refute_8_660,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_8_659,refute_8_657]) ).
cnf(refute_8_661,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_8_656,refute_8_660]) ).
cnf(refute_8_662,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_8_663,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_661,refute_8_662]) ).
cnf(refute_8_664,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_8_663,refute_8_652]) ).
cnf(refute_8_665,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_8_666,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_665]) ).
cnf(refute_8_667,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_666,refute_8_664]) ).
cnf(refute_8_668,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_667]) ).
cnf(refute_8_669,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_8_670,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_668,refute_8_669]) ).
cnf(refute_8_671,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_670,refute_8_649]) ).
cnf(refute_8_672,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_636,refute_8_671]) ).
cnf(refute_8_673,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_674,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_8_672,refute_8_673]) ).
cnf(refute_8_675,plain,
( h2(e11) = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_674]) ).
cnf(refute_8_676,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e13) != e23
| h2(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_677,plain,
( h2(e11) != op2(e23,h2(e13))
| h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_8_672,refute_8_676]) ).
cnf(refute_8_678,plain,
( h2(e11) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_8_675,refute_8_677]) ).
cnf(refute_8_679,plain,
( h2(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_8_680,plain,
( h2(e11) != op2(e23,e23)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_679]) ).
cnf(refute_8_681,plain,
( h2(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e23)) )],[refute_8_678,refute_8_680]) ).
cnf(refute_8_682,plain,
( h2(e11) != e21
| h2(e11) != op2(e23,h2(e13))
| e21 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_8_683,plain,
( h2(e11) != op2(e23,h2(e13))
| e21 = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_681,refute_8_682]) ).
cnf(refute_8_684,plain,
( e21 = op2(e23,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h2(e13))) )],[refute_8_675,refute_8_683]) ).
cnf(refute_8_685,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_8_141]) ).
cnf(refute_8_686,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_8_687,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_688,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_8_686,refute_8_687]) ).
cnf(refute_8_689,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_688]) ).
cnf(refute_8_690,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_691,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_692,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_8_690,refute_8_691]) ).
cnf(refute_8_693,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_692]) ).
cnf(refute_8_694,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_8_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_8_695,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_8_693,refute_8_694]) ).
cnf(refute_8_696,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_8_689,refute_8_695]) ).
cnf(refute_8_697,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_698,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_8_696,refute_8_697]) ).
cnf(refute_8_699,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_8_685,refute_8_698]) ).
cnf(refute_8_700,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_701,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_8_672,refute_8_700]) ).
cnf(refute_8_702,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_701]) ).
cnf(refute_8_703,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_8_704,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_235,refute_8_703]) ).
cnf(refute_8_705,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_8_702,refute_8_704]) ).
cnf(refute_8_706,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_8_142]) ).
cnf(refute_8_707,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_8_143]) ).
cnf(refute_8_708,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_8_709,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_708]) ).
cnf(refute_8_710,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_8_707,refute_8_709]) ).
cnf(refute_8_711,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_8_710,refute_8_451]) ).
cnf(refute_8_712,plain,
( e10 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_8_711,refute_8_407]) ).
cnf(refute_8_713,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_712,refute_8_429]) ).
cnf(refute_8_714,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_715,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_713,refute_8_714]) ).
cnf(refute_8_716,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_715]) ).
cnf(refute_8_717,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_8_718,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_717]) ).
cnf(refute_8_719,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_8_720,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_719]) ).
cnf(refute_8_721,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_8_722,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_8_720,refute_8_721]) ).
cnf(refute_8_723,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_8_718,refute_8_722]) ).
cnf(refute_8_724,plain,
( e23 = h4(op1(e11,e12))
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_8_716,refute_8_723]) ).
cnf(refute_8_725,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_8_726,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_8_705,refute_8_725]) ).
cnf(refute_8_727,plain,
( e23 = e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_8_724,refute_8_726]) ).
cnf(refute_8_728,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_8_727,refute_8_312]) ).
cnf(refute_8_729,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_8_730,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_8_728,refute_8_729]) ).
cnf(refute_8_731,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_8_730,refute_8_706]) ).
cnf(refute_8_732,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_8_144]) ).
cnf(refute_8_733,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_8_145]) ).
cnf(refute_8_734,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_735,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_285,refute_8_734]) ).
cnf(refute_8_736,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_8_735,refute_8_733]) ).
cnf(refute_8_737,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_8_732,refute_8_736]) ).
cnf(refute_8_738,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_8_737,refute_8_542]) ).
cnf(refute_8_739,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_8_740,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_738,refute_8_739]) ).
cnf(refute_8_741,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_8_740,refute_8_731]) ).
cnf(refute_8_742,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_512,refute_8_741]) ).
cnf(refute_8_743,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_744,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_742,refute_8_743]) ).
cnf(refute_8_745,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_8_705,refute_8_744]) ).
cnf(refute_8_746,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_745,refute_8_336]) ).
cnf(refute_8_747,plain,
( e21 != op2(e23,h2(e13))
| h2(e13) != e21
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_748,plain,
( e21 != op2(e23,h2(e13))
| e21 = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_746,refute_8_747]) ).
cnf(refute_8_749,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,h2(e13))) )],[refute_8_684,refute_8_748]) ).
cnf(refute_8_750,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_8_749,refute_8_395]) ).
cnf(refute_8_751,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_8_750,refute_8_612]) ).
cnf(refute_8_752,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_8_147]) ).
cnf(refute_8_753,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_8_148]) ).
cnf(refute_8_754,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_8_149]) ).
cnf(refute_8_755,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_8_756,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_755]) ).
cnf(refute_8_757,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_8_754,refute_8_756]) ).
cnf(refute_8_758,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_8_757,refute_8_312]) ).
cnf(refute_8_759,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_150]) ).
cnf(refute_8_760,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_8_761,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_760]) ).
cnf(refute_8_762,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_8_761,refute_8_759]) ).
cnf(refute_8_763,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_8_764,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_763]) ).
cnf(refute_8_765,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_8_764,refute_8_762]) ).
cnf(refute_8_766,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_8_758,refute_8_765]) ).
cnf(refute_8_767,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_8_768,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_766,refute_8_767]) ).
cnf(refute_8_769,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_8_768,refute_8_753]) ).
cnf(refute_8_770,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_8_771,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_8_769,refute_8_770]) ).
cnf(refute_8_772,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_752,refute_8_771]) ).
cnf(refute_8_773,plain,
e21 != e22,
inference(canonicalize,[],[normalize_8_151]) ).
cnf(refute_8_774,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_772,refute_8_773]) ).
cnf(refute_8_775,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_8_774,refute_8_751]) ).
cnf(refute_8_776,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_152]) ).
cnf(refute_8_777,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_8_154]) ).
cnf(refute_8_778,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_155]) ).
cnf(refute_8_779,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_780,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_779]) ).
cnf(refute_8_781,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_8_780,refute_8_778]) ).
cnf(refute_8_782,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_777,refute_8_781]) ).
cnf(refute_8_783,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_782,refute_8_219]) ).
cnf(refute_8_784,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_785,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_783,refute_8_784]) ).
cnf(refute_8_786,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_8_785,refute_8_776]) ).
cnf(refute_8_787,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_8_156]) ).
cnf(refute_8_788,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_157]) ).
cnf(refute_8_789,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_790,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_15,refute_8_789]) ).
cnf(refute_8_791,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_8_790,refute_8_788]) ).
cnf(refute_8_792,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_8_787,refute_8_791]) ).
cnf(refute_8_793,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_158]) ).
cnf(refute_8_794,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_795,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_216,refute_8_794]) ).
cnf(refute_8_796,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_8_795,refute_8_793]) ).
cnf(refute_8_797,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_8_792,refute_8_796]) ).
cnf(refute_8_798,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_799,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_797,refute_8_798]) ).
cnf(refute_8_800,plain,
( e21 != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_8_799,refute_8_786]) ).
cnf(refute_8_801,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_800]) ).
cnf(refute_8_802,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_8_803,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_801,refute_8_802]) ).
cnf(refute_8_804,plain,
( ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_8_803,refute_8_775]) ).
cnf(refute_8_805,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_8_160]) ).
cnf(refute_8_806,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_8_807,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_806]) ).
cnf(refute_8_808,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_8_805,refute_8_807]) ).
cnf(refute_8_809,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_161]) ).
cnf(refute_8_810,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_8_811,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_810]) ).
cnf(refute_8_812,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_8_811,refute_8_809]) ).
cnf(refute_8_813,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_8_814,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_813]) ).
cnf(refute_8_815,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_8_816,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_815]) ).
cnf(refute_8_817,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_8_816,refute_8_814]) ).
cnf(refute_8_818,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_8_817,refute_8_812]) ).
cnf(refute_8_819,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_8_808,refute_8_818]) ).
cnf(refute_8_820,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_8_162]) ).
cnf(refute_8_821,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_8_164]) ).
cnf(refute_8_822,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_823,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_821,refute_8_822]) ).
cnf(refute_8_824,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_8_823,refute_8_776]) ).
cnf(refute_8_825,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_8_826,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_783,refute_8_825]) ).
cnf(refute_8_827,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_826,refute_8_824]) ).
cnf(refute_8_828,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_8_829,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_828,refute_8_827]) ).
cnf(refute_8_830,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_831,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_829,refute_8_830]) ).
cnf(refute_8_832,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_8_831,refute_8_820]) ).
cnf(refute_8_833,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_8_165]) ).
cnf(refute_8_834,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_8_166]) ).
cnf(refute_8_835,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_834,refute_8_156]) ).
cnf(refute_8_836,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_835,refute_8_393]) ).
cnf(refute_8_837,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_836,refute_8_767]) ).
cnf(refute_8_838,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_8_837,refute_8_833]) ).
cnf(refute_8_839,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_8_840,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_838,refute_8_839]) ).
cnf(refute_8_841,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_840,refute_8_832]) ).
cnf(refute_8_842,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_841]) ).
cnf(refute_8_843,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_842,refute_8_178]) ).
cnf(refute_8_844,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_8_172,refute_8_843]) ).
cnf(refute_8_845,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_8_844,refute_8_182]) ).
cnf(refute_8_846,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_8_845,refute_8_184]) ).
cnf(refute_8_847,plain,
( h2(e13) != h2(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_8_848,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_8_846,refute_8_847]) ).
cnf(refute_8_849,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_8_361,refute_8_848]) ).
cnf(refute_8_850,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_851,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_842,refute_8_850]) ).
cnf(refute_8_852,plain,
( h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_851]) ).
cnf(refute_8_853,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_854,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_853]) ).
cnf(refute_8_855,plain,
( h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_8_852,refute_8_854]) ).
cnf(refute_8_856,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_857,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_738,refute_8_856]) ).
cnf(refute_8_858,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_857]) ).
cnf(refute_8_859,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_860,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_859]) ).
cnf(refute_8_861,plain,
( h2(e13) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| h2(e13) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_8_862,plain,
( h2(e13) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_8_720,refute_8_861]) ).
cnf(refute_8_863,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),e23)) )],[refute_8_860,refute_8_862]) ).
cnf(refute_8_864,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_8_858,refute_8_863]) ).
cnf(refute_8_865,plain,
( h2(e13) != h4(op1(e11,e12))
| h4(op1(e11,e12)) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_8_866,plain,
( h2(e13) != h4(op1(e11,e12))
| h2(e13) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_8_855,refute_8_865]) ).
cnf(refute_8_867,plain,
( h2(e13) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_8_864,refute_8_866]) ).
cnf(refute_8_868,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_8_867,refute_8_247]) ).
cnf(refute_8_869,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_870,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_868,refute_8_869]) ).
cnf(refute_8_871,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_8_855,refute_8_870]) ).
cnf(refute_8_872,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_8_873,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_249,refute_8_872]) ).
cnf(refute_8_874,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_8_871,refute_8_873]) ).
cnf(refute_8_875,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_8_876,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_8_874,refute_8_875]) ).
cnf(refute_8_877,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_878,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_876,refute_8_877]) ).
cnf(refute_8_879,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) )],[refute_8_849,refute_8_878]) ).
cnf(refute_8_880,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_8_846,refute_8_186]) ).
cnf(refute_8_881,plain,
( h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_842,refute_8_880]) ).
cnf(refute_8_882,plain,
( h2(e10) != e21
| h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_883,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_8_881,refute_8_882]) ).
cnf(refute_8_884,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) )],[refute_8_879,refute_8_883]) ).
cnf(refute_8_885,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_886,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_842,refute_8_885]) ).
cnf(refute_8_887,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_8_361,refute_8_886]) ).
cnf(refute_8_888,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_8_889,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_8_375,refute_8_888]) ).
cnf(refute_8_890,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_8_891,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_8_889,refute_8_890]) ).
cnf(refute_8_892,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_8_887,refute_8_891]) ).
cnf(refute_8_893,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| h4(op1(e10,e11)) != op2(e23,e21)
| op2(e23,e21) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_8_894,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| op2(e23,e21) = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_8_884,refute_8_893]) ).
cnf(refute_8_895,plain,
( op2(e23,e21) = h4(op1(e10,e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) )],[refute_8_892,refute_8_894]) ).
cnf(refute_8_896,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_8_167]) ).
cnf(refute_8_897,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_168]) ).
cnf(refute_8_898,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_899,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_898]) ).
cnf(refute_8_900,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_8_899,refute_8_897]) ).
cnf(refute_8_901,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_8_896,refute_8_900]) ).
cnf(refute_8_902,plain,
( op1(e10,e13) != e13
| op2(e23,e21) != h4(op1(e10,e13))
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_903,plain,
( op2(e23,e21) != h4(op1(e10,e13))
| op1(e10,e13) = e10
| op1(e10,e13) = e12
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_901,refute_8_902]) ).
cnf(refute_8_904,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op2(e23,e21) = h4(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(op1(e10,e13))) )],[refute_8_895,refute_8_903]) ).
cnf(refute_8_905,plain,
( h4(e13) != e21
| op2(e23,e21) != h4(e13)
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_8_906,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_905]) ).
cnf(refute_8_907,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op2(e23,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_8_904,refute_8_906]) ).
cnf(refute_8_908,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_907,refute_8_393]) ).
cnf(refute_8_909,plain,
( e10 != op1(e11,e13)
| op1(e10,e13) != e10
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_8_910,plain,
( e10 != op1(e11,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_8_908,refute_8_909]) ).
cnf(refute_8_911,plain,
( e10 != op1(e11,e13)
| op1(e10,e13) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_8_910,refute_8_537]) ).
cnf(refute_8_912,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_169]) ).
cnf(refute_8_913,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_8_914,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_868,refute_8_913]) ).
cnf(refute_8_915,plain,
( e12 != op1(e11,e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_8_914,refute_8_912]) ).
cnf(refute_8_916,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_8_170]) ).
cnf(refute_8_917,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_171]) ).
cnf(refute_8_918,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_919,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_918]) ).
cnf(refute_8_920,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_8_919,refute_8_917]) ).
cnf(refute_8_921,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_8_916,refute_8_920]) ).
cnf(refute_8_922,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_923,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_921,refute_8_922]) ).
cnf(refute_8_924,plain,
( e12 != e12
| op1(e11,e13) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_8_923,refute_8_915]) ).
cnf(refute_8_925,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_512,refute_8_924]) ).
cnf(refute_8_926,plain,
( e10 != e10
| op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_927,plain,
( e10 != e10
| e10 = op1(e11,e13)
| op1(e11,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_925,refute_8_926]) ).
cnf(refute_8_928,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_8_927,refute_8_911]) ).
cnf(refute_8_929,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_576,refute_8_928]) ).
cnf(refute_8_930,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_8_931,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = e12
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_929,refute_8_930]) ).
cnf(refute_8_932,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_8_931,refute_8_537]) ).
cnf(refute_8_933,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_8_934,plain,
( op1(e10,e13) != e13
| e13 = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_932,refute_8_933]) ).
cnf(refute_8_935,plain,
( op1(e10,e13) != e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_8_934,refute_8_451]) ).
cnf(refute_8_936,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_8_937,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_380,refute_8_936]) ).
cnf(refute_8_938,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_937,refute_8_935]) ).
cnf(refute_8_939,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_456,refute_8_938]) ).
cnf(refute_8_940,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_939,refute_8_397]) ).
cnf(refute_8_941,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_8_884,refute_8_940]) ).
cnf(refute_8_942,plain,
( e21 = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_8_941,refute_8_385]) ).
cnf(refute_8_943,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_8_942,refute_8_395]) ).
cnf(refute_8_944,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_8_172]) ).
cnf(refute_8_945,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_946,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_947,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_8_945,refute_8_946]) ).
cnf(refute_8_948,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_947]) ).
cnf(refute_8_949,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_950,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_8_948,refute_8_949]) ).
cnf(refute_8_951,plain,
h4(op1(e11,e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_8_944,refute_8_950]) ).
cnf(refute_8_952,plain,
( h2(e13) != e21
| h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_953,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_8_842,refute_8_952]) ).
cnf(refute_8_954,plain,
( h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_8_951,refute_8_953]) ).
cnf(refute_8_955,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_956,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_876,refute_8_955]) ).
cnf(refute_8_957,plain,
( h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) )],[refute_8_954,refute_8_956]) ).
cnf(refute_8_958,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_959,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| h4(op1(e11,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_244,refute_8_958]) ).
cnf(refute_8_960,plain,
( h4(op1(e11,e10)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e23)) )],[refute_8_957,refute_8_959]) ).
cnf(refute_8_961,plain,
( op1(e10,e10) != e13
| op1(e13,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_8_962,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_452,refute_8_961]) ).
cnf(refute_8_963,plain,
( op1(e10,e10) != e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_8_962,refute_8_353]) ).
cnf(refute_8_964,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_8_965,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_943,refute_8_964]) ).
cnf(refute_8_966,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_965,refute_8_963]) ).
cnf(refute_8_967,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_456,refute_8_966]) ).
cnf(refute_8_968,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_967,refute_8_458]) ).
cnf(refute_8_969,plain,
( op1(e12,e10) != e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_8_968,refute_8_352]) ).
cnf(refute_8_970,plain,
( h4(e11) != op2(e23,h4(e10))
| op1(e12,e10) != e11
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_971,plain,
( h4(e11) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10))
| op1(e12,e10) = e10
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_500,refute_8_970]) ).
cnf(refute_8_972,plain,
( h4(e11) != op2(e23,h4(e10))
| op1(e12,e10) = e10
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_8_971,refute_8_468]) ).
cnf(refute_8_973,plain,
( h2(e13) != op2(e23,h4(e10))
| h4(e11) != h2(e13)
| h4(e11) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_8_974,plain,
( h2(e13) != op2(e23,h4(e10))
| h4(e11) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_973]) ).
cnf(refute_8_975,plain,
( h2(e13) != op2(e23,h4(e10))
| op1(e12,e10) = e10
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,h4(e10))) )],[refute_8_974,refute_8_972]) ).
cnf(refute_8_976,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_876,refute_8_470]) ).
cnf(refute_8_977,plain,
( h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_469,refute_8_976]) ).
cnf(refute_8_978,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_8_304,refute_8_729]) ).
cnf(refute_8_979,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_8_978,refute_8_706]) ).
cnf(refute_8_980,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_8_740,refute_8_979]) ).
cnf(refute_8_981,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_512,refute_8_980]) ).
cnf(refute_8_982,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_981,refute_8_856]) ).
cnf(refute_8_983,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_8_699,refute_8_982]) ).
cnf(refute_8_984,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_8_983,refute_8_863]) ).
cnf(refute_8_985,plain,
( h2(e13) = h4(e10)
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_8_984,refute_8_866]) ).
cnf(refute_8_986,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_8_985,refute_8_247]) ).
cnf(refute_8_987,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e11
| h4(e11) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_988,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_986,refute_8_987]) ).
cnf(refute_8_989,plain,
( h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_8_256,refute_8_988]) ).
cnf(refute_8_990,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_991,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_990]) ).
cnf(refute_8_992,plain,
( h2(e13) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_8_993,plain,
( h2(e13) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_8_482,refute_8_992]) ).
cnf(refute_8_994,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_8_991,refute_8_993]) ).
cnf(refute_8_995,plain,
( h2(e13) = h4(op1(e10,e12))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_8_989,refute_8_994]) ).
cnf(refute_8_996,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_8_876,refute_8_478]) ).
cnf(refute_8_997,plain,
( h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_469,refute_8_996]) ).
cnf(refute_8_998,plain,
( h4(op1(e10,e10)) = h4(op1(e10,e12))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e23)) )],[refute_8_997,refute_8_484]) ).
cnf(refute_8_999,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_8_1000,plain,
( h4(op1(e10,e12)) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) )],[refute_8_998,refute_8_999]) ).
cnf(refute_8_1001,plain,
( h2(e13) != h4(op1(e10,e12))
| h4(op1(e10,e12)) != h4(op1(e10,e10))
| h2(e13) = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e10))) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_8_1002,plain,
( h2(e13) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e10))) )],[refute_8_1000,refute_8_1001]) ).
cnf(refute_8_1003,plain,
( h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e12))) )],[refute_8_995,refute_8_1002]) ).
cnf(refute_8_1004,plain,
( h2(e13) != h4(op1(e10,e10))
| h4(op1(e10,e10)) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(op1(e10,e10))))]]) ).
cnf(refute_8_1005,plain,
( h4(op1(e10,e10)) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e10))) )],[refute_8_1003,refute_8_1004]) ).
cnf(refute_8_1006,plain,
( h4(op1(e10,e10)) != h2(e13)
| h4(op1(e10,e10)) != op2(e23,h4(e10))
| h2(e13) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_1007,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| h2(e13) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h2(e13)) )],[refute_8_1005,refute_8_1006]) ).
cnf(refute_8_1008,plain,
( h2(e13) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_8_977,refute_8_1007]) ).
cnf(refute_8_1009,plain,
( h2(e13) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,h4(e10))))]]) ).
cnf(refute_8_1010,plain,
( op2(e23,h4(e10)) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e10))) )],[refute_8_1008,refute_8_1009]) ).
cnf(refute_8_1011,plain,
( h2(e13) != h2(e13)
| op2(e23,h4(e10)) != h2(e13)
| h2(e13) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,h4(e10))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_8_1012,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),h2(e13)) )],[refute_8_1010,refute_8_1011]) ).
cnf(refute_8_1013,plain,
( h2(e13) != h2(e13)
| op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e10))) )],[refute_8_1012,refute_8_975]) ).
cnf(refute_8_1014,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_8_507,refute_8_1013]) ).
cnf(refute_8_1015,plain,
( e12 != e12
| op1(e12,e10) = e10
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_1014,refute_8_509]) ).
cnf(refute_8_1016,plain,
( e12 != e12
| op1(e12,e10) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_1015,refute_8_969]) ).
cnf(refute_8_1017,plain,
( op1(e12,e10) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_512,refute_8_1016]) ).
cnf(refute_8_1018,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_8_173]) ).
cnf(refute_8_1019,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_174]) ).
cnf(refute_8_1020,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_1021,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_425,refute_8_1020]) ).
cnf(refute_8_1022,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_8_1021,refute_8_1019]) ).
cnf(refute_8_1023,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_8_1018,refute_8_1022]) ).
cnf(refute_8_1024,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_8_1025,plain,
( op1(e12,e10) != e10
| e11 = e10
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_1023,refute_8_1024]) ).
cnf(refute_8_1026,plain,
( e11 = e10
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_1017,refute_8_1025]) ).
cnf(refute_8_1027,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_8_1026,refute_8_568]) ).
cnf(refute_8_1028,plain,
( h4(op1(e11,e10)) != h4(e10)
| op1(e11,e10) != e11
| h4(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1029,plain,
( h4(op1(e11,e10)) != h4(e10)
| h4(e11) = h4(e10)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1027,refute_8_1028]) ).
cnf(refute_8_1030,plain,
( h4(e11) = h4(e10)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_8_960,refute_8_1029]) ).
cnf(refute_8_1031,plain,
( h4(e11) != h2(e13)
| h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_1032,plain,
( h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_334,refute_8_1031]) ).
cnf(refute_8_1033,plain,
( h2(e13) = h4(e10)
| op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_8_1030,refute_8_1032]) ).
cnf(refute_8_1034,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_8_1033,refute_8_247]) ).
cnf(refute_8_1035,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_8_1036,plain,
( op1(e10,e10) != e13
| e11 = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_1034,refute_8_1035]) ).
cnf(refute_8_1037,plain,
( e11 = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_943,refute_8_1036]) ).
cnf(refute_8_1038,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_1037,refute_8_444]) ).
cnf(refute_8_1039,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_8_1038,refute_8_819]) ).
cnf(refute_8_1040,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_8_1039,refute_8_804]) ).
cnf(refute_8_1041,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_1042,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_1040,refute_8_1041]) ).
cnf(refute_8_1043,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_8_1042,refute_8_611]) ).
cnf(refute_8_1044,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_8_175]) ).
cnf(refute_8_1045,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_8_750,refute_8_1044]) ).
cnf(refute_8_1046,plain,
( ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_8_774,refute_8_1045]) ).
cnf(refute_8_1047,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_8_1039,refute_8_1046]) ).
cnf(refute_8_1048,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_8_1049,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_1047,refute_8_1048]) ).
cnf(refute_8_1050,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_8_1049,refute_8_775]) ).
cnf(refute_8_1051,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_8_1052,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_1051]) ).
cnf(refute_8_1053,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_1052,refute_8_1050]) ).
cnf(refute_8_1054,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_8_1039,refute_8_1053]) ).
cnf(refute_8_1055,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_8_176]) ).
cnf(refute_8_1056,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_8_1057,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_65,refute_8_1056]) ).
cnf(refute_8_1058,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_8_1055,refute_8_1057]) ).
cnf(refute_8_1059,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_1060,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_54,refute_8_1059]) ).
cnf(refute_8_1061,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_1058,refute_8_1060]) ).
cnf(refute_8_1062,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_8_1061,refute_8_17]) ).
cnf(refute_8_1063,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_8_1064,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_8,refute_8_1063]) ).
cnf(refute_8_1065,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_1062,refute_8_1064]) ).
cnf(refute_8_1066,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_8_1065,refute_8_21]) ).
cnf(refute_8_1067,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_8_1068,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_45,refute_8_1067]) ).
cnf(refute_8_1069,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_8_1066,refute_8_1068]) ).
cnf(refute_8_1070,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_1069,refute_8_773]) ).
cnf(refute_8_1071,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_8_1072,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_797,refute_8_1071]) ).
cnf(refute_8_1073,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_1072,refute_8_1070]) ).
cnf(refute_8_1074,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_1073]) ).
cnf(refute_8_1075,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_1074,refute_8_802]) ).
cnf(refute_8_1076,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_8_1075,refute_8_775]) ).
cnf(refute_8_1077,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_8_1039,refute_8_1076]) ).
cnf(refute_8_1078,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_8_1079,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_8_1077,refute_8_1078]) ).
cnf(refute_8_1080,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_8_1079,refute_8_1054]) ).
cnf(refute_8_1081,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_8_1080,refute_8_1043]) ).
cnf(refute_8_1082,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_828,refute_8_1081]) ).
cnf(refute_8_1083,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_8_1082,refute_8_607]) ).
cnf(refute_8_1084,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_1085,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_1083,refute_8_1084]) ).
cnf(refute_8_1086,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_8_177]) ).
cnf(refute_8_1087,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_8_202,refute_8_1086]) ).
cnf(refute_8_1088,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_8_226,refute_8_1087]) ).
cnf(refute_8_1089,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_797,refute_8_802]) ).
cnf(refute_8_1090,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_8_1089,refute_8_1088]) ).
cnf(refute_8_1091,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_8_606,refute_8_1090]) ).
cnf(refute_8_1092,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_8_1082,refute_8_1091]) ).
cnf(refute_8_1093,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_1092,refute_8_798]) ).
cnf(refute_8_1094,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_8_1093,refute_8_1085]) ).
cnf(refute_8_1095,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_8_1094,refute_8_0]) ).
cnf(refute_8_1096,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_200,refute_8_1095]) ).
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,
( 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_9_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_9_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_9_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_9_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_9_4,normalize_9_5]) ).
fof(normalize_9_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_9_3,normalize_9_6,normalize_9_5]) ).
fof(normalize_9_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_9_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_9_7,normalize_9_8]) ).
fof(normalize_9_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_2,normalize_9_9,normalize_9_6,normalize_9_5,normalize_9_8]) ).
fof(normalize_9_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_9_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_9_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_9_11,normalize_9_12]) ).
fof(normalize_9_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_10,normalize_9_13,normalize_9_12]) ).
fof(normalize_9_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_9_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_14,normalize_9_15]) ).
fof(normalize_9_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_9_16]) ).
fof(normalize_9_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_9]) ).
fof(normalize_9_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_9_19]) ).
fof(normalize_9_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_9_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_8]) ).
fof(normalize_9_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_9_23]) ).
fof(normalize_9_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_9_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_9_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_6]) ).
fof(normalize_9_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_9_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_5]) ).
fof(normalize_9_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_9_35]) ).
fof(normalize_9_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_9_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_9_35]) ).
fof(normalize_9_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_13]) ).
fof(normalize_9_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_9_43]) ).
fof(normalize_9_45,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_46,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_47,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_12]) ).
fof(normalize_9_48,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_50,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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_9_37]) ).
fof(normalize_9_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_9_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_9_53]) ).
fof(normalize_9_55,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_50,normalize_9_51,normalize_9_52,normalize_9_54]) ).
fof(normalize_9_56,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_57,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_58,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_59,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_60,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_15]) ).
fof(normalize_9_61,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_9_60]) ).
fof(normalize_9_62,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_9_63,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_9_62]) ).
fof(normalize_9_64,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_65,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_66,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_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_9_68,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_69,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_9_70,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_9_69]) ).
fof(normalize_9_71,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_9_72,plain,
e11 != e13,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_73,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_9_69]) ).
fof(normalize_9_74,plain,
e10 != e11,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_75,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_76,plain,
e12 != e13,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_77,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_78,plain,
e11 != e12,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_79,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_80,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_81,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_82,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_9_60]) ).
fof(normalize_9_83,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_9_84,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_9_83]) ).
fof(normalize_9_85,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_86,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_9_83]) ).
fof(normalize_9_87,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_88,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_89,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_90,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_91,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_92,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_9_91]) ).
fof(normalize_9_93,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_94,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_95,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_96,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_9_91]) ).
fof(normalize_9_97,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_98,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_99,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_9_100,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_9_101,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_9_102,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_9_100,normalize_9_101]) ).
fof(normalize_9_103,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_99,normalize_9_102,normalize_9_101]) ).
fof(normalize_9_104,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_9_105,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_103,normalize_9_104]) ).
fof(normalize_9_106,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_9_105]) ).
fof(normalize_9_107,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_9_106]) ).
fof(normalize_9_108,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_109,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_9_110,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_9_109]) ).
fof(normalize_9_111,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_9_110,normalize_9_16,normalize_9_13,normalize_9_9,normalize_9_6,normalize_9_5,normalize_9_8,normalize_9_15,normalize_9_12]) ).
fof(normalize_9_112,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_9_111,normalize_9_105,normalize_9_102,normalize_9_104,normalize_9_101]) ).
fof(normalize_9_113,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_9_114,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_9_115,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_9_113,normalize_9_114]) ).
fof(normalize_9_116,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_9_112,normalize_9_115,normalize_9_114]) ).
fof(normalize_9_117,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_9_118,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_9_116,normalize_9_117]) ).
fof(normalize_9_119,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_9_118]) ).
fof(normalize_9_120,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_9_119]) ).
fof(normalize_9_121,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_9_115]) ).
fof(normalize_9_122,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_9_121]) ).
fof(normalize_9_123,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_114]) ).
fof(normalize_9_124,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_9_123]) ).
fof(normalize_9_125,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_9_123]) ).
fof(normalize_9_126,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_9_117]) ).
fof(normalize_9_127,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_9_126]) ).
fof(normalize_9_128,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_129,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_9_119]) ).
fof(normalize_9_130,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_9_62]) ).
fof(normalize_9_131,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_132,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_9_91]) ).
fof(normalize_9_133,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_134,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_135,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_104]) ).
fof(normalize_9_136,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_9_135]) ).
fof(normalize_9_137,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_9_135]) ).
fof(normalize_9_138,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_9_62]) ).
fof(normalize_9_139,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_140,plain,
e21 != e22,
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_141,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_9_62]) ).
fof(normalize_9_142,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_143,plain,
e20 != e23,
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_144,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_9_106]) ).
fof(normalize_9_145,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_9_83]) ).
fof(normalize_9_146,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_147,plain,
op1(e11,e10) != op1(e11,e11),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_148,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_9_149,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_9_148]) ).
fof(normalize_9_150,plain,
e10 != e13,
inference(conjunct,[],[normalize_9_71]) ).
fof(normalize_9_151,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_9_69]) ).
fof(normalize_9_152,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_153,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_154,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_155,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_102]) ).
fof(normalize_9_156,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_9_155]) ).
fof(normalize_9_157,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_158,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_159,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_9_101]) ).
fof(normalize_9_160,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_9_159]) ).
fof(normalize_9_161,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_9_83]) ).
fof(normalize_9_162,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_163,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_9_159]) ).
fof(normalize_9_164,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_9_62]) ).
fof(normalize_9_165,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_9_159]) ).
fof(normalize_9_166,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_167,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_168,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_9_91]) ).
fof(normalize_9_169,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_170,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_171,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_172,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_9_89]) ).
fof(normalize_9_173,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_174,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_9_83]) ).
fof(normalize_9_175,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_9_0]) ).
cnf(refute_9_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_9_1]) ).
cnf(refute_9_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_22]) ).
cnf(refute_9_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_4,refute_9_5]) ).
cnf(refute_9_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_9_3,refute_9_7]) ).
cnf(refute_9_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_9_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_9]) ).
cnf(refute_9_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_9_2,refute_9_10]) ).
cnf(refute_9_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_9_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_9_13,refute_9_14]) ).
cnf(refute_9_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_9_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_16]) ).
cnf(refute_9_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_9_12,refute_9_17]) ).
cnf(refute_9_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_9_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_20,refute_9_19]) ).
cnf(refute_9_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_18,refute_9_21]) ).
cnf(refute_9_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_9_22,refute_9_11]) ).
cnf(refute_9_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_9_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_25,refute_9_26]) ).
cnf(refute_9_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_27]) ).
cnf(refute_9_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_9_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_31]) ).
cnf(refute_9_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_6,refute_9_33]) ).
cnf(refute_9_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_32,refute_9_35]) ).
cnf(refute_9_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_9_28,refute_9_36]) ).
cnf(refute_9_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_9_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_9_37,refute_9_38]) ).
cnf(refute_9_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_39]) ).
cnf(refute_9_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_9_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_9_40,refute_9_41]) ).
cnf(refute_9_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_24,refute_9_42]) ).
cnf(refute_9_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_9_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_9_43,refute_9_44]) ).
cnf(refute_9_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_9_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_46]) ).
cnf(refute_9_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_23,refute_9_47]) ).
cnf(refute_9_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_48,refute_9_49]) ).
cnf(refute_9_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_9_52,refute_9_53]) ).
cnf(refute_9_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_9_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_9_55,refute_9_56]) ).
cnf(refute_9_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_57]) ).
cnf(refute_9_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_9_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_9_58,refute_9_59]) ).
cnf(refute_9_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_9_60,refute_9_51]) ).
cnf(refute_9_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_9_36]) ).
cnf(refute_9_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_9_63,refute_9_64]) ).
cnf(refute_9_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_9_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_9_66,refute_9_67]) ).
cnf(refute_9_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_65,refute_9_68]) ).
cnf(refute_9_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_9_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_9_69,refute_9_70]) ).
cnf(refute_9_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_9_71,refute_9_62]) ).
cnf(refute_9_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_65,refute_9_74]) ).
cnf(refute_9_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_9_73,refute_9_75]) ).
cnf(refute_9_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_9_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_76,refute_9_77]) ).
cnf(refute_9_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_9_78,refute_9_72]) ).
cnf(refute_9_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_9_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_65,refute_9_80]) ).
cnf(refute_9_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_9_81,refute_9_79]) ).
cnf(refute_9_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_9_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_76,refute_9_83]) ).
cnf(refute_9_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_84,refute_9_82]) ).
cnf(refute_9_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_9_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_86,refute_9_85]) ).
cnf(refute_9_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_9_87,refute_9_61]) ).
cnf(refute_9_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_9_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_90,refute_9_91]) ).
cnf(refute_9_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_92]) ).
cnf(refute_9_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_9_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_94,refute_9_95]) ).
cnf(refute_9_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_96]) ).
cnf(refute_9_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_9_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_97,refute_9_98]) ).
cnf(refute_9_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_93,refute_9_99]) ).
cnf(refute_9_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_9_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_100,refute_9_101]) ).
cnf(refute_9_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_89,refute_9_102]) ).
cnf(refute_9_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_9_41]) ).
cnf(refute_9_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_105]) ).
cnf(refute_9_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_104,refute_9_106]) ).
cnf(refute_9_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_9_87,refute_9_107]) ).
cnf(refute_9_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_108,refute_9_109]) ).
cnf(refute_9_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_9_103,refute_9_110]) ).
cnf(refute_9_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_108,refute_9_112]) ).
cnf(refute_9_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_9_103,refute_9_113]) ).
cnf(refute_9_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_9_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_9_116,refute_9_117]) ).
cnf(refute_9_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_118]) ).
cnf(refute_9_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_9_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_9_119,refute_9_120]) ).
cnf(refute_9_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_9_115,refute_9_121]) ).
cnf(refute_9_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_9_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_9_122,refute_9_123]) ).
cnf(refute_9_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_9_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_9_124,refute_9_125]) ).
cnf(refute_9_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_9_114,refute_9_126]) ).
cnf(refute_9_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_108,refute_9_128]) ).
cnf(refute_9_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_9_122,refute_9_129]) ).
cnf(refute_9_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_9_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_131]) ).
cnf(refute_9_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_9_130,refute_9_132]) ).
cnf(refute_9_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_9_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_133,refute_9_134]) ).
cnf(refute_9_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_9_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_135,refute_9_136]) ).
cnf(refute_9_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_108,refute_9_137]) ).
cnf(refute_9_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_9_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_138,refute_9_139]) ).
cnf(refute_9_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_9_127,refute_9_140]) ).
cnf(refute_9_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_9_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_9_141,refute_9_142]) ).
cnf(refute_9_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_9_111,refute_9_143]) ).
cnf(refute_9_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_9_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_9_144,refute_9_145]) ).
cnf(refute_9_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_9_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_9_148,refute_9_88]) ).
cnf(refute_9_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_9_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_150,refute_9_149]) ).
cnf(refute_9_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_9_151,refute_9_50]) ).
cnf(refute_9_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_9_152,refute_9_1]) ).
cnf(refute_9_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_155,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_45]) ).
cnf(refute_9_156,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_157,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_9_158,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_9_157,refute_9_158]) ).
cnf(refute_9_160,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_159]) ).
cnf(refute_9_161,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_9_162,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_9_160,refute_9_161]) ).
cnf(refute_9_163,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_9_156,refute_9_162]) ).
cnf(refute_9_164,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_9_165,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_9_163,refute_9_164]) ).
cnf(refute_9_166,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_9_167,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_166]) ).
cnf(refute_9_168,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_9_167,refute_9_155]) ).
cnf(refute_9_169,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_170,plain,
( e20 != e20
| op2(e20,e22) != e20
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_9_171,plain,
( e20 != e20
| op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_9_169,refute_9_170]) ).
cnf(refute_9_172,plain,
( e20 != e20
| definitionFOFtoCNF_21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_9_171,refute_9_168]) ).
cnf(refute_9_173,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_86,refute_9_172]) ).
cnf(refute_9_174,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_9_173,refute_9_154]) ).
cnf(refute_9_175,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_49]) ).
cnf(refute_9_176,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_9_177,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_176]) ).
cnf(refute_9_178,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_9_177,refute_9_175]) ).
cnf(refute_9_179,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_9_174,refute_9_178]) ).
cnf(refute_9_180,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_9_179,refute_9_153]) ).
cnf(refute_9_181,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_182,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_183,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_9_184,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_183]) ).
cnf(refute_9_185,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_184]) ).
cnf(refute_9_186,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_9_187,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_188,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_186,refute_9_187]) ).
cnf(refute_9_189,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_188]) ).
cnf(refute_9_190,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_191,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_192,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_190,refute_9_191]) ).
cnf(refute_9_193,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_192]) ).
cnf(refute_9_194,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_195,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_193,refute_9_194]) ).
cnf(refute_9_196,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_9_189,refute_9_195]) ).
cnf(refute_9_197,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_9_198,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_9_196,refute_9_197]) ).
cnf(refute_9_199,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_198]) ).
cnf(refute_9_200,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_201,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_9_199,refute_9_200]) ).
cnf(refute_9_202,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_182,refute_9_201]) ).
cnf(refute_9_203,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_9_204,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_205,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_9_203,refute_9_204]) ).
cnf(refute_9_206,plain,
op2(e23,h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_205]) ).
cnf(refute_9_207,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_208,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_209,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_210,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_208,refute_9_209]) ).
cnf(refute_9_211,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_210]) ).
cnf(refute_9_212,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_9_213,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_9_211,refute_9_212]) ).
cnf(refute_9_214,plain,
op2(h4(e12),h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h2(e13))) )],[refute_9_206,refute_9_213]) ).
cnf(refute_9_215,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_9_216,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h2(e13))) )],[refute_9_214,refute_9_215]) ).
cnf(refute_9_217,plain,
h4(op1(e12,e11)) != op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_216,refute_9_181]) ).
cnf(refute_9_218,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_9_59]) ).
cnf(refute_9_219,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_220,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_221,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_9_219,refute_9_220]) ).
cnf(refute_9_222,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_221]) ).
cnf(refute_9_223,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_224,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_9_222,refute_9_223]) ).
cnf(refute_9_225,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_9_218,refute_9_224]) ).
cnf(refute_9_226,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_9_61]) ).
cnf(refute_9_227,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_9_63]) ).
cnf(refute_9_228,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_9_227,refute_9_10]) ).
cnf(refute_9_229,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_230,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_9_231,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_230]) ).
cnf(refute_9_232,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_9_231,refute_9_229]) ).
cnf(refute_9_233,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_9_234,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_9_233,refute_9_232]) ).
cnf(refute_9_235,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_9_228,refute_9_234]) ).
cnf(refute_9_236,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_235,refute_9_47]) ).
cnf(refute_9_237,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_9_65]) ).
cnf(refute_9_238,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_239,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_240,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_9_238,refute_9_239]) ).
cnf(refute_9_241,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_240]) ).
cnf(refute_9_242,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_243,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_9_241,refute_9_242]) ).
cnf(refute_9_244,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_9_237,refute_9_243]) ).
cnf(refute_9_245,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_9_246,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_9_244,refute_9_245]) ).
cnf(refute_9_247,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_9_248,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_247]) ).
cnf(refute_9_249,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_236,refute_9_248]) ).
cnf(refute_9_250,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_249,refute_9_49]) ).
cnf(refute_9_251,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_9_252,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_9_250,refute_9_251]) ).
cnf(refute_9_253,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_9_252,refute_9_226]) ).
cnf(refute_9_254,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_255,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_254]) ).
cnf(refute_9_256,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_9_225,refute_9_255]) ).
cnf(refute_9_257,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_9_258,plain,
( op2(e23,h2(e13)) = h4(op1(e10,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_9_256,refute_9_257]) ).
cnf(refute_9_259,plain,
( h4(op1(e12,e11)) != h4(op1(e10,e11))
| op2(e23,h2(e13)) != h4(op1(e10,e11))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1],$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_9_260,plain,
( h4(op1(e12,e11)) != h4(op1(e10,e11))
| h4(op1(e12,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h4(op1(e10,e11))) )],[refute_9_258,refute_9_259]) ).
cnf(refute_9_261,plain,
( h4(op1(e12,e11)) != h4(op1(e10,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_9_260,refute_9_217]) ).
cnf(refute_9_262,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_9_66]) ).
cnf(refute_9_263,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_264,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_265,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_9_263,refute_9_264]) ).
cnf(refute_9_266,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_265]) ).
cnf(refute_9_267,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_268,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_9_266,refute_9_267]) ).
cnf(refute_9_269,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_9_262,refute_9_268]) ).
cnf(refute_9_270,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_271,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_270]) ).
cnf(refute_9_272,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_9_269,refute_9_271]) ).
cnf(refute_9_273,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_274,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_273]) ).
cnf(refute_9_275,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_9_272,refute_9_274]) ).
cnf(refute_9_276,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_9_68]) ).
cnf(refute_9_277,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_9_70]) ).
cnf(refute_9_278,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_9_279,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_9_277,refute_9_278]) ).
cnf(refute_9_280,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_9_281,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_280]) ).
cnf(refute_9_282,plain,
( e13 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_276,refute_9_281]) ).
cnf(refute_9_283,plain,
e11 != e13,
inference(canonicalize,[],[normalize_9_72]) ).
cnf(refute_9_284,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_285,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_284,refute_9_283]) ).
cnf(refute_9_286,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_9_282,refute_9_285]) ).
cnf(refute_9_287,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_9_73]) ).
cnf(refute_9_288,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_9_289,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_290,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_9_288,refute_9_289]) ).
cnf(refute_9_291,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_290]) ).
cnf(refute_9_292,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_9_293,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_9_291,refute_9_292]) ).
cnf(refute_9_294,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_9_287,refute_9_293]) ).
cnf(refute_9_295,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_9_296,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_9_294,refute_9_295]) ).
cnf(refute_9_297,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_9_298,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_296,refute_9_297]) ).
cnf(refute_9_299,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_286,refute_9_298]) ).
cnf(refute_9_300,plain,
e10 != e11,
inference(canonicalize,[],[normalize_9_74]) ).
cnf(refute_9_301,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_299,refute_9_300]) ).
cnf(refute_9_302,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_9_75]) ).
cnf(refute_9_303,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_9_304,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_303]) ).
cnf(refute_9_305,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_9_302,refute_9_304]) ).
cnf(refute_9_306,plain,
e12 != e13,
inference(canonicalize,[],[normalize_9_76]) ).
cnf(refute_9_307,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_308,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_307,refute_9_306]) ).
cnf(refute_9_309,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_305,refute_9_308]) ).
cnf(refute_9_310,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_311,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_296,refute_9_310]) ).
cnf(refute_9_312,plain,
( e10 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_309,refute_9_311]) ).
cnf(refute_9_313,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_77]) ).
cnf(refute_9_314,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_312,refute_9_313]) ).
cnf(refute_9_315,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_9_316,plain,
( op1(e11,e12) != e11
| e12 = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_314,refute_9_315]) ).
cnf(refute_9_317,plain,
( e12 = e11
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_301,refute_9_316]) ).
cnf(refute_9_318,plain,
e11 != e12,
inference(canonicalize,[],[normalize_9_78]) ).
cnf(refute_9_319,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_320,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_319,refute_9_318]) ).
cnf(refute_9_321,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_317,refute_9_320]) ).
cnf(refute_9_322,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_323,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_321,refute_9_322]) ).
cnf(refute_9_324,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_9_275,refute_9_323]) ).
cnf(refute_9_325,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_9_326,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_325]) ).
cnf(refute_9_327,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_9_324,refute_9_326]) ).
cnf(refute_9_328,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_9_329,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_328,refute_9_49]) ).
cnf(refute_9_330,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_327,refute_9_329]) ).
cnf(refute_9_331,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_332,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_330,refute_9_331]) ).
cnf(refute_9_333,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_9_275,refute_9_332]) ).
cnf(refute_9_334,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_335,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_334]) ).
cnf(refute_9_336,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_333,refute_9_335]) ).
cnf(refute_9_337,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_338,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_336,refute_9_337]) ).
cnf(refute_9_339,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_9_256,refute_9_338]) ).
cnf(refute_9_340,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),h4(op1(e10,e11))) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_9_341,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) = h4(op1(e10,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_9_339,refute_9_340]) ).
cnf(refute_9_342,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e10,e11))) )],[refute_9_341,refute_9_261]) ).
cnf(refute_9_343,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_9_79]) ).
cnf(refute_9_344,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_9_80]) ).
cnf(refute_9_345,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_346,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_345]) ).
cnf(refute_9_347,plain,
h2(e13) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_9_346,refute_9_344]) ).
cnf(refute_9_348,plain,
( e21 != op2(e22,e21)
| h2(e13) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_349,plain,
( e21 != op2(e22,e21)
| h2(e13) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_336,refute_9_348]) ).
cnf(refute_9_350,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_9_349,refute_9_347]) ).
cnf(refute_9_351,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_9_81]) ).
cnf(refute_9_352,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_9_82]) ).
cnf(refute_9_353,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_354,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_9_352,refute_9_353]) ).
cnf(refute_9_355,plain,
( e20 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_9_354,refute_9_351]) ).
cnf(refute_9_356,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_9_84]) ).
cnf(refute_9_357,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_85]) ).
cnf(refute_9_358,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_359,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_358]) ).
cnf(refute_9_360,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_9_359,refute_9_357]) ).
cnf(refute_9_361,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_356,refute_9_360]) ).
cnf(refute_9_362,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_9_363,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_9_361,refute_9_362]) ).
cnf(refute_9_364,plain,
( e20 != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_9_363,refute_9_355]) ).
cnf(refute_9_365,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_86,refute_9_364]) ).
cnf(refute_9_366,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_9_367,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_365,refute_9_366]) ).
cnf(refute_9_368,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_9_367,refute_9_350]) ).
cnf(refute_9_369,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_150,refute_9_368]) ).
cnf(refute_9_370,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_9_371,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_369,refute_9_370]) ).
cnf(refute_9_372,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_9_371,refute_9_343]) ).
cnf(refute_9_373,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_9_86]) ).
cnf(refute_9_374,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_87]) ).
cnf(refute_9_375,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_9_376,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_375]) ).
cnf(refute_9_377,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_9_376,refute_9_374]) ).
cnf(refute_9_378,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_9_373,refute_9_377]) ).
cnf(refute_9_379,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_88]) ).
cnf(refute_9_380,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_9_381,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_380]) ).
cnf(refute_9_382,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_9_381,refute_9_379]) ).
cnf(refute_9_383,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_9_384,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_383]) ).
cnf(refute_9_385,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_9_384,refute_9_382]) ).
cnf(refute_9_386,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_378,refute_9_385]) ).
cnf(refute_9_387,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_9_388,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_9_386,refute_9_387]) ).
cnf(refute_9_389,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_9_388,refute_9_372]) ).
cnf(refute_9_390,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_391,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_390,refute_9_389]) ).
cnf(refute_9_392,plain,
( h4(op1(e12,e11)) != e23
| op2(e23,e21) != e23
| h4(op1(e12,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_9_393,plain,
( h4(op1(e12,e11)) != e23
| h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_391,refute_9_392]) ).
cnf(refute_9_394,plain,
( h4(op1(e12,e11)) != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_9_393,refute_9_342]) ).
cnf(refute_9_395,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_9_90]) ).
cnf(refute_9_396,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_9_92]) ).
cnf(refute_9_397,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_93]) ).
cnf(refute_9_398,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_399,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_398]) ).
cnf(refute_9_400,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_9_399,refute_9_397]) ).
cnf(refute_9_401,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_396,refute_9_400]) ).
cnf(refute_9_402,plain,
( op1(e12,e10) != e11
| op1(e12,e11) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_403,plain,
( op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11)
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_401,refute_9_402]) ).
cnf(refute_9_404,plain,
( op1(e12,e10) != e11
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_9_403,refute_9_395]) ).
cnf(refute_9_405,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_9_94]) ).
cnf(refute_9_406,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_9_407,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_408,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_9_406,refute_9_407]) ).
cnf(refute_9_409,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_408]) ).
cnf(refute_9_410,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_9_411,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_9_409,refute_9_410]) ).
cnf(refute_9_412,plain,
h4(op1(e12,e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_9_405,refute_9_411]) ).
cnf(refute_9_413,plain,
( h4(e10) != e23
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_414,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_413]) ).
cnf(refute_9_415,plain,
( h4(op1(e12,e10)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_9_412,refute_9_414]) ).
cnf(refute_9_416,plain,
( h4(op1(e12,e10)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e12,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_417,plain,
( h4(op1(e12,e10)) != op2(e23,e23)
| h4(op1(e12,e10)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_416]) ).
cnf(refute_9_418,plain,
( h4(op1(e12,e10)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,e23)) )],[refute_9_415,refute_9_417]) ).
cnf(refute_9_419,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_9_95]) ).
cnf(refute_9_420,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_421,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_420]) ).
cnf(refute_9_422,plain,
( h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_419,refute_9_421]) ).
cnf(refute_9_423,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = h4(op1(e12,e10)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(op2(e23,h4(e10))))]]) ).
cnf(refute_9_424,plain,
op2(e23,h4(e10)) = h4(op1(e12,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_9_412,refute_9_423]) ).
cnf(refute_9_425,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) != h4(op1(e12,e10))
| h4(op1(e10,e10)) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h4(op1(e12,e10))) ),[0],$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_9_426,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e10)) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),h4(op1(e12,e10))) )],[refute_9_424,refute_9_425]) ).
cnf(refute_9_427,plain,
( h4(op1(e10,e10)) = h4(op1(e12,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_9_422,refute_9_426]) ).
cnf(refute_9_428,plain,
( h4(e10) != e23
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_429,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_428]) ).
cnf(refute_9_430,plain,
( h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_419,refute_9_429]) ).
cnf(refute_9_431,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_9_432,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_9_269,refute_9_431]) ).
cnf(refute_9_433,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_9_434,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_9_432,refute_9_433]) ).
cnf(refute_9_435,plain,
( h4(op1(e10,e10)) = h4(op1(e10,e12))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e23)) )],[refute_9_430,refute_9_434]) ).
cnf(refute_9_436,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| op1(e10,e12) != e11
| h4(op1(e10,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_437,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| h4(op1(e10,e10)) = h4(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_330,refute_9_436]) ).
cnf(refute_9_438,plain,
( h4(op1(e10,e10)) = h4(e11)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) )],[refute_9_435,refute_9_437]) ).
cnf(refute_9_439,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_9_440,plain,
( h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_439]) ).
cnf(refute_9_441,plain,
( h4(op1(e10,e10)) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_9_438,refute_9_440]) ).
cnf(refute_9_442,plain,
( h4(op1(e10,e10)) != h2(e13)
| h4(op1(e10,e10)) != h4(op1(e12,e10))
| h2(e13) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e12,e10))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_443,plain,
( h4(op1(e10,e10)) != h4(op1(e12,e10))
| h2(e13) = h4(op1(e12,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h2(e13)) )],[refute_9_441,refute_9_442]) ).
cnf(refute_9_444,plain,
( h2(e13) = h4(op1(e12,e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e12,e10))) )],[refute_9_427,refute_9_443]) ).
cnf(refute_9_445,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_9_96]) ).
cnf(refute_9_446,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_97]) ).
cnf(refute_9_447,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_448,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_447]) ).
cnf(refute_9_449,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_9_448,refute_9_446]) ).
cnf(refute_9_450,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_9_445,refute_9_449]) ).
cnf(refute_9_451,plain,
( h2(e13) != h4(op1(e12,e10))
| op1(e12,e10) != e10
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h4(op1(e12,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_452,plain,
( h2(e13) != h4(op1(e12,e10))
| h2(e13) = h4(e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_9_450,refute_9_451]) ).
cnf(refute_9_453,plain,
( h2(e13) = h4(e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e12,e10))) )],[refute_9_444,refute_9_452]) ).
cnf(refute_9_454,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_9_98]) ).
cnf(refute_9_455,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_9_456,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_455]) ).
cnf(refute_9_457,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_9_456,refute_9_454]) ).
cnf(refute_9_458,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_9_459,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_458]) ).
cnf(refute_9_460,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_9_459,refute_9_457]) ).
cnf(refute_9_461,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_9_453,refute_9_460]) ).
cnf(refute_9_462,plain,
( h4(op1(e12,e10)) != e21
| op1(e12,e10) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_463,plain,
( h4(op1(e12,e10)) != e21
| h4(e12) = e21
| op1(e12,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_461,refute_9_462]) ).
cnf(refute_9_464,plain,
( h4(e12) = e21
| op1(e12,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e21) )],[refute_9_418,refute_9_463]) ).
cnf(refute_9_465,plain,
( e23 = e21
| op1(e12,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_9_464,refute_9_326]) ).
cnf(refute_9_466,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_465,refute_9_329]) ).
cnf(refute_9_467,plain,
( e11 != e11
| op1(e12,e10) != e11
| op1(e12,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_9_468,plain,
( e11 != e11
| op1(e12,e10) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_466,refute_9_467]) ).
cnf(refute_9_469,plain,
( e11 != e11
| op1(e12,e11) = e10
| op1(e12,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_468,refute_9_404]) ).
cnf(refute_9_470,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_9_471,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_470,refute_9_469]) ).
cnf(refute_9_472,plain,
( h4(e12) != e23
| op1(e12,e11) != e12
| h4(op1(e12,e11)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_473,plain,
( h4(e12) != e23
| h4(op1(e12,e11)) = e23
| op1(e12,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_471,refute_9_472]) ).
cnf(refute_9_474,plain,
( h4(e12) != e23
| op1(e12,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e23) )],[refute_9_473,refute_9_394]) ).
cnf(refute_9_475,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_9_476,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_475]) ).
cnf(refute_9_477,plain,
( e23 != e23
| op1(e12,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_476,refute_9_474]) ).
cnf(refute_9_478,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_9_479,plain,
( op1(e12,e11) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_477]) ).
cnf(refute_9_480,plain,
( h4(e10) != e23
| op1(e12,e11) != e10
| h4(op1(e12,e11)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),e23) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_481,plain,
( h4(e10) != e23
| h4(op1(e12,e11)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_479,refute_9_480]) ).
cnf(refute_9_482,plain,
( h4(e10) != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e23) )],[refute_9_481,refute_9_394]) ).
cnf(refute_9_483,plain,
( e23 != e23
| h4(e10) != e23
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(e23)]]) ).
cnf(refute_9_484,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_253,refute_9_483]) ).
cnf(refute_9_485,plain,
( e23 != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_484,refute_9_482]) ).
cnf(refute_9_486,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_485]) ).
cnf(refute_9_487,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_9_486,refute_9_180]) ).
cnf(refute_9_488,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_9_107]) ).
cnf(refute_9_489,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_9_108]) ).
cnf(refute_9_490,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_9_120]) ).
cnf(refute_9_491,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_9_122]) ).
cnf(refute_9_492,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_9_491,refute_9_234]) ).
cnf(refute_9_493,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_9_124]) ).
cnf(refute_9_494,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_495,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_9_496,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_9_494,refute_9_495]) ).
cnf(refute_9_497,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_496]) ).
cnf(refute_9_498,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_9_499,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_9_497,refute_9_498]) ).
cnf(refute_9_500,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_9_499,refute_9_493]) ).
cnf(refute_9_501,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_9_502,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_503,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_9_501,refute_9_502]) ).
cnf(refute_9_504,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_503]) ).
cnf(refute_9_505,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_9_506,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_9_504,refute_9_505]) ).
cnf(refute_9_507,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_9_506,refute_9_500]) ).
cnf(refute_9_508,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_9_125]) ).
cnf(refute_9_509,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_9_510,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_508,refute_9_509]) ).
cnf(refute_9_511,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_510,refute_9_507]) ).
cnf(refute_9_512,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_511]) ).
cnf(refute_9_513,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_9_512,refute_9_492]) ).
cnf(refute_9_514,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_9_490,refute_9_513]) ).
cnf(refute_9_515,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_9_127]) ).
cnf(refute_9_516,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_9_517,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_516]) ).
cnf(refute_9_518,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_9_515,refute_9_517]) ).
cnf(refute_9_519,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_128]) ).
cnf(refute_9_520,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_518,refute_9_519]) ).
cnf(refute_9_521,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_9_514,refute_9_520]) ).
cnf(refute_9_522,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_9_523,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_9_521,refute_9_522]) ).
cnf(refute_9_524,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_9_523,refute_9_489]) ).
cnf(refute_9_525,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_9_129]) ).
cnf(refute_9_526,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_9_525,refute_9_513]) ).
cnf(refute_9_527,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_9_526,refute_9_520]) ).
cnf(refute_9_528,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_9_130]) ).
cnf(refute_9_529,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_530,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_54,refute_9_529]) ).
cnf(refute_9_531,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_9_528,refute_9_530]) ).
cnf(refute_9_532,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_531,refute_9_360]) ).
cnf(refute_9_533,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_9_534,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_532,refute_9_533]) ).
cnf(refute_9_535,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_9_534,refute_9_527]) ).
cnf(refute_9_536,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_9_537,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_536]) ).
cnf(refute_9_538,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_537,refute_9_535]) ).
cnf(refute_9_539,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_150,refute_9_538]) ).
cnf(refute_9_540,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_9_541,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_9_539,refute_9_540]) ).
cnf(refute_9_542,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_9_541,refute_9_524]) ).
cnf(refute_9_543,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_542]) ).
cnf(refute_9_544,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_9_131]) ).
cnf(refute_9_545,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_9_546,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_547,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_9_545,refute_9_546]) ).
cnf(refute_9_548,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_547]) ).
cnf(refute_9_549,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_550,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_551,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_9_549,refute_9_550]) ).
cnf(refute_9_552,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_551]) ).
cnf(refute_9_553,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_9_554,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_9_552,refute_9_553]) ).
cnf(refute_9_555,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_9_548,refute_9_554]) ).
cnf(refute_9_556,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_557,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_9_555,refute_9_556]) ).
cnf(refute_9_558,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_9_544,refute_9_557]) ).
cnf(refute_9_559,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_560,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_543,refute_9_559]) ).
cnf(refute_9_561,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_560]) ).
cnf(refute_9_562,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_563,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_185,refute_9_562]) ).
cnf(refute_9_564,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_9_561,refute_9_563]) ).
cnf(refute_9_565,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_9_132]) ).
cnf(refute_9_566,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_133]) ).
cnf(refute_9_567,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_568,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_567]) ).
cnf(refute_9_569,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_9_568,refute_9_566]) ).
cnf(refute_9_570,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_9_565,refute_9_569]) ).
cnf(refute_9_571,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_134]) ).
cnf(refute_9_572,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_573,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_296,refute_9_572]) ).
cnf(refute_9_574,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_9_573,refute_9_571]) ).
cnf(refute_9_575,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_570,refute_9_574]) ).
cnf(refute_9_576,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_577,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_575,refute_9_576]) ).
cnf(refute_9_578,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_577]) ).
cnf(refute_9_579,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_9_580,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_579]) ).
cnf(refute_9_581,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_9_582,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_581]) ).
cnf(refute_9_583,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_9_584,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_9_582,refute_9_583]) ).
cnf(refute_9_585,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_9_580,refute_9_584]) ).
cnf(refute_9_586,plain,
( e23 = h4(op1(e11,e12))
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_9_578,refute_9_585]) ).
cnf(refute_9_587,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_9_588,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_9_564,refute_9_587]) ).
cnf(refute_9_589,plain,
( e23 = e21
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_9_586,refute_9_588]) ).
cnf(refute_9_590,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_589,refute_9_329]) ).
cnf(refute_9_591,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_592,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_590,refute_9_591]) ).
cnf(refute_9_593,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_9_564,refute_9_592]) ).
cnf(refute_9_594,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_593,refute_9_335]) ).
cnf(refute_9_595,plain,
( h2(e13) != e21
| h2(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_9_596,plain,
( h2(e13) != e23
| e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_594,refute_9_595]) ).
cnf(refute_9_597,plain,
( e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_543,refute_9_596]) ).
cnf(refute_9_598,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_597,refute_9_49]) ).
cnf(refute_9_599,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_9_598,refute_9_488]) ).
cnf(refute_9_600,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_9_136]) ).
cnf(refute_9_601,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_9_137]) ).
cnf(refute_9_602,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_9_138]) ).
cnf(refute_9_603,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_9_604,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_603]) ).
cnf(refute_9_605,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_9_602,refute_9_604]) ).
cnf(refute_9_606,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_605,refute_9_329]) ).
cnf(refute_9_607,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_139]) ).
cnf(refute_9_608,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_9_609,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_608]) ).
cnf(refute_9_610,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_9_609,refute_9_607]) ).
cnf(refute_9_611,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_9_612,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_611]) ).
cnf(refute_9_613,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_9_612,refute_9_610]) ).
cnf(refute_9_614,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_9_606,refute_9_613]) ).
cnf(refute_9_615,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_9_616,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_614,refute_9_615]) ).
cnf(refute_9_617,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_9_616,refute_9_601]) ).
cnf(refute_9_618,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_619,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_9_617,refute_9_618]) ).
cnf(refute_9_620,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_9_600,refute_9_619]) ).
cnf(refute_9_621,plain,
e21 != e22,
inference(canonicalize,[],[normalize_9_140]) ).
cnf(refute_9_622,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_620,refute_9_621]) ).
cnf(refute_9_623,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_9_622,refute_9_599]) ).
cnf(refute_9_624,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_9_141]) ).
cnf(refute_9_625,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_9_624,refute_9_530]) ).
cnf(refute_9_626,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_142]) ).
cnf(refute_9_627,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_628,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_627]) ).
cnf(refute_9_629,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_9_628,refute_9_626]) ).
cnf(refute_9_630,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_9_625,refute_9_629]) ).
cnf(refute_9_631,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_630,refute_9_248]) ).
cnf(refute_9_632,plain,
( op2(e21,e20) != e23
| op2(e21,e23) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e23)]]) ).
cnf(refute_9_633,plain,
( op2(e21,e23) != e20
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_9_631,refute_9_632]) ).
cnf(refute_9_634,plain,
( op2(e21,e23) != e20
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_9_633,refute_9_623]) ).
cnf(refute_9_635,plain,
( h4(e10) != e20
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_9_636,plain,
( h4(e10) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_635]) ).
cnf(refute_9_637,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_9_636,refute_9_634]) ).
cnf(refute_9_638,plain,
( h4(e10) != e20
| h4(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_9_639,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_24
| e20 = e23
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_637,refute_9_638]) ).
cnf(refute_9_640,plain,
e20 != e23,
inference(canonicalize,[],[normalize_9_143]) ).
cnf(refute_9_641,plain,
( h4(e10) != e20
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_639,refute_9_640]) ).
cnf(refute_9_642,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_9_144]) ).
cnf(refute_9_643,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_9_644,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h4(e10))]]) ).
cnf(refute_9_645,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_9_643,refute_9_644]) ).
cnf(refute_9_646,plain,
op2(e21,op2(e21,e23)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_645]) ).
cnf(refute_9_647,plain,
( op2(e21,h4(e10)) != e23
| op2(e21,op2(e21,e23)) != op2(e21,h4(e10))
| op2(e21,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h4(e10))) ),[1],$fot(e23)]]) ).
cnf(refute_9_648,plain,
( op2(e21,h4(e10)) != e23
| op2(e21,op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h4(e10))) )],[refute_9_646,refute_9_647]) ).
cnf(refute_9_649,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),e23) )],[refute_9_648,refute_9_642]) ).
cnf(refute_9_650,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_9_598,refute_9_649]) ).
cnf(refute_9_651,plain,
( op2(e21,h4(e10)) != e23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_9_622,refute_9_650]) ).
cnf(refute_9_652,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_9_145]) ).
cnf(refute_9_653,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_9_654,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_653]) ).
cnf(refute_9_655,plain,
( h4(e10) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_9_652,refute_9_654]) ).
cnf(refute_9_656,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_9_657,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_656]) ).
cnf(refute_9_658,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_9_655,refute_9_657]) ).
cnf(refute_9_659,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_9_660,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_659]) ).
cnf(refute_9_661,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_9_658,refute_9_660]) ).
cnf(refute_9_662,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_661,refute_9_248]) ).
cnf(refute_9_663,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_146]) ).
cnf(refute_9_664,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_9_665,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_8,refute_9_664]) ).
cnf(refute_9_666,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_9_665,refute_9_663]) ).
cnf(refute_9_667,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_9_668,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_667]) ).
cnf(refute_9_669,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_9_670,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_669]) ).
cnf(refute_9_671,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_9_670,refute_9_668]) ).
cnf(refute_9_672,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_9_671,refute_9_666]) ).
cnf(refute_9_673,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_9_662,refute_9_672]) ).
cnf(refute_9_674,plain,
( h4(e10) != e23
| op2(e21,e23) != e23
| op2(e21,h4(e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,h4(e10)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_9_675,plain,
( op2(e21,e23) != e23
| h4(e10) = e20
| h4(e10) = e22
| op2(e21,h4(e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_673,refute_9_674]) ).
cnf(refute_9_676,plain,
( op2(e21,e23) != e23
| ~ definitionFOFtoCNF_24
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),e23) )],[refute_9_675,refute_9_651]) ).
cnf(refute_9_677,plain,
( h4(e10) != e23
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_9_678,plain,
( h4(e10) != e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_677]) ).
cnf(refute_9_679,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_24
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_678,refute_9_676]) ).
cnf(refute_9_680,plain,
( h4(e10) != e20
| h4(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_9_681,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_24
| e23 = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_679,refute_9_680]) ).
cnf(refute_9_682,plain,
( h4(e10) != e22
| h4(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_9_683,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_24
| e23 = e20
| e23 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_681,refute_9_682]) ).
cnf(refute_9_684,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_685,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_684,refute_9_640]) ).
cnf(refute_9_686,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_24
| e23 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_9_683,refute_9_685]) ).
cnf(refute_9_687,plain,
( h4(e10) != e23
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_686,refute_9_21]) ).
cnf(refute_9_688,plain,
( h4(e10) != e22
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_689,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_673,refute_9_688]) ).
cnf(refute_9_690,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_419,refute_9_689]) ).
cnf(refute_9_691,plain,
( h4(e10) != e22
| h4(op1(e10,e10)) != op2(e22,h4(e10))
| h4(op1(e10,e10)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_692,plain,
( h4(op1(e10,e10)) != op2(e22,h4(e10))
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_673,refute_9_691]) ).
cnf(refute_9_693,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,h4(e10))) )],[refute_9_690,refute_9_692]) ).
cnf(refute_9_694,plain,
( h4(op1(e10,e10)) != op2(e22,e22)
| op2(e22,e22) != e23
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_9_695,plain,
( h4(op1(e10,e10)) != op2(e22,e22)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_694]) ).
cnf(refute_9_696,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e22,e22)) )],[refute_9_693,refute_9_695]) ).
cnf(refute_9_697,plain,
op1(e11,e10) != op1(e11,e11),
inference(canonicalize,[],[normalize_9_147]) ).
cnf(refute_9_698,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_9_149]) ).
cnf(refute_9_699,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_9_700,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_699]) ).
cnf(refute_9_701,plain,
( op1(e13,e10) != e13
| e13 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_9_698,refute_9_700]) ).
cnf(refute_9_702,plain,
e10 != e13,
inference(canonicalize,[],[normalize_9_150]) ).
cnf(refute_9_703,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_704,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_703,refute_9_702]) ).
cnf(refute_9_705,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_9_701,refute_9_704]) ).
cnf(refute_9_706,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_9_151]) ).
cnf(refute_9_707,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_9_708,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_9_709,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_707,refute_9_708]) ).
cnf(refute_9_710,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_709]) ).
cnf(refute_9_711,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_9_712,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_713,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_711,refute_9_712]) ).
cnf(refute_9_714,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_713]) ).
cnf(refute_9_715,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_9_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_716,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_714,refute_9_715]) ).
cnf(refute_9_717,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_9_710,refute_9_716]) ).
cnf(refute_9_718,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_9_719,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_9_717,refute_9_718]) ).
cnf(refute_9_720,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_706,refute_9_719]) ).
cnf(refute_9_721,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_722,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_9_720,refute_9_721]) ).
cnf(refute_9_723,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_9_724,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_722,refute_9_723]) ).
cnf(refute_9_725,plain,
( op1(e13,e10) != e13
| e11 = e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_705,refute_9_724]) ).
cnf(refute_9_726,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_727,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_726,refute_9_300]) ).
cnf(refute_9_728,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_9_725,refute_9_727]) ).
cnf(refute_9_729,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_9_152]) ).
cnf(refute_9_730,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_9_729,refute_9_449]) ).
cnf(refute_9_731,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_732,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_730,refute_9_731]) ).
cnf(refute_9_733,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_732,refute_9_728]) ).
cnf(refute_9_734,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_9_735,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_734,refute_9_733]) ).
cnf(refute_9_736,plain,
( op1(e11,e10) != e10
| op1(e11,e11) != e10
| op1(e11,e10) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_9_737,plain,
( op1(e11,e10) != e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e11,e10) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_735,refute_9_736]) ).
cnf(refute_9_738,plain,
( op1(e11,e10) != e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_9_737,refute_9_697]) ).
cnf(refute_9_739,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_9_740,plain,
( op1(e11,e10) != e10
| e10 = e13
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_9_738,refute_9_739]) ).
cnf(refute_9_741,plain,
( op1(e11,e10) != e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_740,refute_9_702]) ).
cnf(refute_9_742,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_9_153]) ).
cnf(refute_9_743,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_154]) ).
cnf(refute_9_744,plain,
( op1(e13,e10) != e10
| op1(e13,e12) != e10
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_745,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_296,refute_9_744]) ).
cnf(refute_9_746,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_9_745,refute_9_743]) ).
cnf(refute_9_747,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_9_742,refute_9_746]) ).
cnf(refute_9_748,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| op1(e12,e10) != e10
| h4(e10) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_749,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(e10) = op2(e23,h4(e10))
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_9_747,refute_9_748]) ).
cnf(refute_9_750,plain,
( h4(e10) = op2(e23,h4(e10))
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_9_412,refute_9_749]) ).
cnf(refute_9_751,plain,
( h4(e10) != op2(e23,h4(e10))
| op2(e23,h4(e10)) != h4(op1(e12,e10))
| h4(e10) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(op1(e12,e10))) ),[0],$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_9_752,plain,
( h4(e10) != op2(e23,h4(e10))
| h4(e10) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),h4(op1(e12,e10))) )],[refute_9_424,refute_9_751]) ).
cnf(refute_9_753,plain,
( h4(e10) = h4(op1(e12,e10))
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,h4(e10))) )],[refute_9_750,refute_9_752]) ).
cnf(refute_9_754,plain,
( h4(e10) != e22
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_755,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(e10) = e20
| h4(e10) = e23
| h4(op1(e12,e10)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_673,refute_9_754]) ).
cnf(refute_9_756,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e12,e10)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_9_412,refute_9_755]) ).
cnf(refute_9_757,plain,
( h4(op1(e12,e10)) != op2(e23,e22)
| op2(e23,e22) != e20
| h4(op1(e12,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_9_758,plain,
( h4(op1(e12,e10)) != op2(e23,e22)
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_757]) ).
cnf(refute_9_759,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,e22)) )],[refute_9_756,refute_9_758]) ).
cnf(refute_9_760,plain,
( h4(e10) != h4(op1(e12,e10))
| h4(op1(e12,e10)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(h4(op1(e12,e10)))]]) ).
cnf(refute_9_761,plain,
( h4(e10) != h4(op1(e12,e10))
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_9_759,refute_9_760]) ).
cnf(refute_9_762,plain,
( h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e12,e10))) )],[refute_9_753,refute_9_761]) ).
cnf(refute_9_763,plain,
( e10 != e10
| op1(e11,e10) != e10
| op1(e11,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_9_764,plain,
( e10 != e10
| h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_762,refute_9_763]) ).
cnf(refute_9_765,plain,
( e10 != e10
| h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_764,refute_9_741]) ).
cnf(refute_9_766,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_9_767,plain,
( h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_766,refute_9_765]) ).
cnf(refute_9_768,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e10
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_769,plain,
( h4(op1(e10,e10)) != e23
| h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_9_767,refute_9_768]) ).
cnf(refute_9_770,plain,
( h4(e10) = e20
| h4(e10) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_9_696,refute_9_769]) ).
cnf(refute_9_771,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_772,plain,
( h4(op1(e10,e10)) != e23
| h4(e10) = e20
| h4(e10) = e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_770,refute_9_771]) ).
cnf(refute_9_773,plain,
( h4(e10) = e20
| h4(e10) = e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_9_696,refute_9_772]) ).
cnf(refute_9_774,plain,
( e21 = e23
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_773,refute_9_47]) ).
cnf(refute_9_775,plain,
( h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_774,refute_9_49]) ).
cnf(refute_9_776,plain,
( e23 != e23
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_775,refute_9_483]) ).
cnf(refute_9_777,plain,
( e23 != e23
| ~ definitionFOFtoCNF_24
| h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_776,refute_9_687]) ).
cnf(refute_9_778,plain,
( ~ definitionFOFtoCNF_24
| h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_777]) ).
cnf(refute_9_779,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_9_156]) ).
cnf(refute_9_780,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_9_779,refute_9_657]) ).
cnf(refute_9_781,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_9_780,refute_9_672]) ).
cnf(refute_9_782,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_9_157]) ).
cnf(refute_9_783,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_9_158]) ).
cnf(refute_9_784,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_9_160]) ).
cnf(refute_9_785,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_9_786,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_784,refute_9_785]) ).
cnf(refute_9_787,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_9_786,refute_9_783]) ).
cnf(refute_9_788,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_9_161]) ).
cnf(refute_9_789,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_162]) ).
cnf(refute_9_790,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_791,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_790]) ).
cnf(refute_9_792,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_9_791,refute_9_789]) ).
cnf(refute_9_793,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_9_788,refute_9_792]) ).
cnf(refute_9_794,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_9_793,refute_9_168]) ).
cnf(refute_9_795,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_9_796,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_9_794,refute_9_795]) ).
cnf(refute_9_797,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_9_796,refute_9_787]) ).
cnf(refute_9_798,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_390,refute_9_797]) ).
cnf(refute_9_799,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_9_800,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_9_798,refute_9_799]) ).
cnf(refute_9_801,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_9_800,refute_9_782]) ).
cnf(refute_9_802,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_9_163]) ).
cnf(refute_9_803,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_9_164]) ).
cnf(refute_9_804,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_803,refute_9_106]) ).
cnf(refute_9_805,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_804,refute_9_385]) ).
cnf(refute_9_806,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_805,refute_9_615]) ).
cnf(refute_9_807,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_9_806,refute_9_802]) ).
cnf(refute_9_808,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_9_809,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_807,refute_9_808]) ).
cnf(refute_9_810,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_809,refute_9_801]) ).
cnf(refute_9_811,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_150,refute_9_810]) ).
cnf(refute_9_812,plain,
( h2(e13) != e21
| h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_813,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_811,refute_9_812]) ).
cnf(refute_9_814,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_9_813,refute_9_217]) ).
cnf(refute_9_815,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_9_165]) ).
cnf(refute_9_816,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_815,refute_9_370]) ).
cnf(refute_9_817,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_9_816,refute_9_343]) ).
cnf(refute_9_818,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_9_388,refute_9_817]) ).
cnf(refute_9_819,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_390,refute_9_818]) ).
cnf(refute_9_820,plain,
( h4(op1(e12,e11)) != e23
| h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_819,refute_9_392]) ).
cnf(refute_9_821,plain,
( h4(op1(e12,e11)) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_9_820,refute_9_814]) ).
cnf(refute_9_822,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_9_166]) ).
cnf(refute_9_823,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_9_167]) ).
cnf(refute_9_824,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_9_168]) ).
cnf(refute_9_825,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_9_824,refute_9_746]) ).
cnf(refute_9_826,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_169]) ).
cnf(refute_9_827,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_828,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_722,refute_9_827]) ).
cnf(refute_9_829,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_9_828,refute_9_826]) ).
cnf(refute_9_830,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_9_825,refute_9_829]) ).
cnf(refute_9_831,plain,
( op1(e10,e10) != e13
| op1(e13,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_9_832,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_830,refute_9_831]) ).
cnf(refute_9_833,plain,
( op1(e10,e10) != e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_9_832,refute_9_823]) ).
cnf(refute_9_834,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_811,refute_9_128]) ).
cnf(refute_9_835,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_9_122,refute_9_834]) ).
cnf(refute_9_836,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_9_835,refute_9_132]) ).
cnf(refute_9_837,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_836,refute_9_134]) ).
cnf(refute_9_838,plain,
( h2(e13) != h2(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_9_839,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_837,refute_9_838]) ).
cnf(refute_9_840,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_9_225,refute_9_839]) ).
cnf(refute_9_841,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_842,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_811,refute_9_841]) ).
cnf(refute_9_843,plain,
( h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_842]) ).
cnf(refute_9_844,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_9_845,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_9_246,refute_9_844]) ).
cnf(refute_9_846,plain,
( h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_9_843,refute_9_845]) ).
cnf(refute_9_847,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_848,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_575,refute_9_847]) ).
cnf(refute_9_849,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_848]) ).
cnf(refute_9_850,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_851,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_850]) ).
cnf(refute_9_852,plain,
( h2(e13) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| h2(e13) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_9_853,plain,
( h2(e13) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_9_582,refute_9_852]) ).
cnf(refute_9_854,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),e23)) )],[refute_9_851,refute_9_853]) ).
cnf(refute_9_855,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_9_849,refute_9_854]) ).
cnf(refute_9_856,plain,
( h2(e13) != h4(op1(e11,e12))
| h4(op1(e11,e12)) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_9_857,plain,
( h2(e13) != h4(op1(e11,e12))
| h2(e13) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_9_846,refute_9_856]) ).
cnf(refute_9_858,plain,
( h2(e13) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_9_855,refute_9_857]) ).
cnf(refute_9_859,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_9_858,refute_9_460]) ).
cnf(refute_9_860,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_861,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_859,refute_9_860]) ).
cnf(refute_9_862,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_9_846,refute_9_861]) ).
cnf(refute_9_863,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_9_864,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_863]) ).
cnf(refute_9_865,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_9_862,refute_9_864]) ).
cnf(refute_9_866,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_9_867,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_9_865,refute_9_866]) ).
cnf(refute_9_868,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_869,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_868]) ).
cnf(refute_9_870,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) )],[refute_9_840,refute_9_869]) ).
cnf(refute_9_871,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_837,refute_9_136]) ).
cnf(refute_9_872,plain,
( h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_811,refute_9_871]) ).
cnf(refute_9_873,plain,
( h2(e10) != e21
| h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_874,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e10))
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_872,refute_9_873]) ).
cnf(refute_9_875,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) )],[refute_9_870,refute_9_874]) ).
cnf(refute_9_876,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op2(e23,e21) != e23
| h4(op1(e10,e11)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),e23) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_9_877,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_819,refute_9_876]) ).
cnf(refute_9_878,plain,
( h4(op1(e10,e11)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_9_875,refute_9_877]) ).
cnf(refute_9_879,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_9_170]) ).
cnf(refute_9_880,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_881,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_882,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_9_880,refute_9_881]) ).
cnf(refute_9_883,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_882]) ).
cnf(refute_9_884,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_885,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_9_883,refute_9_884]) ).
cnf(refute_9_886,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_9_879,refute_9_885]) ).
cnf(refute_9_887,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_9_171]) ).
cnf(refute_9_888,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_172]) ).
cnf(refute_9_889,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_890,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_279,refute_9_889]) ).
cnf(refute_9_891,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_9_890,refute_9_888]) ).
cnf(refute_9_892,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_887,refute_9_891]) ).
cnf(refute_9_893,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e13
| h4(e13) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_894,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(e13) = op2(h4(e10),e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_892,refute_9_893]) ).
cnf(refute_9_895,plain,
( h4(e13) = op2(h4(e10),e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_9_886,refute_9_894]) ).
cnf(refute_9_896,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_9_897,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_45,refute_9_896]) ).
cnf(refute_9_898,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_9_899,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_9_886,refute_9_898]) ).
cnf(refute_9_900,plain,
( e21 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_9_901,plain,
( e21 != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_9_899,refute_9_900]) ).
cnf(refute_9_902,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e21)) )],[refute_9_897,refute_9_901]) ).
cnf(refute_9_903,plain,
( e21 = h4(op1(e10,e13))
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) )],[refute_9_895,refute_9_902]) ).
cnf(refute_9_904,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_905,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_904]) ).
cnf(refute_9_906,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_9_886,refute_9_905]) ).
cnf(refute_9_907,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op2(e23,e21) != e23
| h4(op1(e10,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_9_908,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_819,refute_9_907]) ).
cnf(refute_9_909,plain,
( h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_9_906,refute_9_908]) ).
cnf(refute_9_910,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_9_911,plain,
( e21 != h4(op1(e10,e13))
| e21 = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_9_909,refute_9_910]) ).
cnf(refute_9_912,plain,
( e21 = e23
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_9_903,refute_9_911]) ).
cnf(refute_9_913,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_912,refute_9_49]) ).
cnf(refute_9_914,plain,
( h4(op1(e10,e11)) != e23
| op1(e10,e11) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_915,plain,
( h4(op1(e10,e11)) != e23
| h4(e13) = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_913,refute_9_914]) ).
cnf(refute_9_916,plain,
( h4(e13) = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_9_878,refute_9_915]) ).
cnf(refute_9_917,plain,
( e21 = e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_916,refute_9_47]) ).
cnf(refute_9_918,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_917,refute_9_49]) ).
cnf(refute_9_919,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_9_920,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_918,refute_9_919]) ).
cnf(refute_9_921,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_920,refute_9_833]) ).
cnf(refute_9_922,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_734,refute_9_921]) ).
cnf(refute_9_923,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_9_924,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_922,refute_9_923]) ).
cnf(refute_9_925,plain,
( op1(e12,e10) != e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_9_924,refute_9_822]) ).
cnf(refute_9_926,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_420]) ).
cnf(refute_9_927,plain,
( h4(op1(e10,e10)) = op2(e23,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_419,refute_9_926]) ).
cnf(refute_9_928,plain,
( h4(op1(e10,e10)) = h4(op1(e12,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(e23,h4(e10))) )],[refute_9_927,refute_9_426]) ).
cnf(refute_9_929,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_301,refute_9_847]) ).
cnf(refute_9_930,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_929]) ).
cnf(refute_9_931,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_9_930,refute_9_854]) ).
cnf(refute_9_932,plain,
( h2(e13) = h4(e10)
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_9_931,refute_9_857]) ).
cnf(refute_9_933,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_9_932,refute_9_460]) ).
cnf(refute_9_934,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e11
| h4(e11) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_935,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_933,refute_9_934]) ).
cnf(refute_9_936,plain,
( h4(e11) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_9_269,refute_9_935]) ).
cnf(refute_9_937,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_938,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_202,refute_9_937]) ).
cnf(refute_9_939,plain,
( h2(e13) != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_9_940,plain,
( h2(e13) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_9_432,refute_9_939]) ).
cnf(refute_9_941,plain,
( h4(e11) != op2(h4(e10),e23)
| h2(e13) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e10),e23)) )],[refute_9_938,refute_9_940]) ).
cnf(refute_9_942,plain,
( h2(e13) = h4(op1(e10,e12))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),e23)) )],[refute_9_936,refute_9_941]) ).
cnf(refute_9_943,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_428]) ).
cnf(refute_9_944,plain,
( h4(op1(e10,e10)) = op2(h4(e10),e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_419,refute_9_943]) ).
cnf(refute_9_945,plain,
( h4(op1(e10,e10)) = h4(op1(e10,e12))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),e23)) )],[refute_9_944,refute_9_434]) ).
cnf(refute_9_946,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = h4(op1(e10,e10)) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_9_947,plain,
( h4(op1(e10,e12)) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e12))) )],[refute_9_945,refute_9_946]) ).
cnf(refute_9_948,plain,
( h2(e13) != h4(op1(e10,e12))
| h4(op1(e10,e12)) != h4(op1(e10,e10))
| h2(e13) = h4(op1(e10,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e10,e10))) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_9_949,plain,
( h2(e13) != h4(op1(e10,e12))
| h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e10))) )],[refute_9_947,refute_9_948]) ).
cnf(refute_9_950,plain,
( h2(e13) = h4(op1(e10,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e12))) )],[refute_9_942,refute_9_949]) ).
cnf(refute_9_951,plain,
( h2(e13) != h4(op1(e10,e10))
| h4(op1(e10,e10)) = h2(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(op1(e10,e10))))]]) ).
cnf(refute_9_952,plain,
( h4(op1(e10,e10)) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e10,e10))) )],[refute_9_950,refute_9_951]) ).
cnf(refute_9_953,plain,
( h4(op1(e10,e10)) != h4(op1(e12,e10))
| h2(e13) = h4(op1(e12,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h2(e13)) )],[refute_9_952,refute_9_442]) ).
cnf(refute_9_954,plain,
( h2(e13) = h4(op1(e12,e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e12,e10))) )],[refute_9_928,refute_9_953]) ).
cnf(refute_9_955,plain,
( h2(e13) = h4(e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e12,e10))) )],[refute_9_954,refute_9_452]) ).
cnf(refute_9_956,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_9_955,refute_9_460]) ).
cnf(refute_9_957,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_958,plain,
( e12 != e12
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_956,refute_9_957]) ).
cnf(refute_9_959,plain,
( e12 != e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_958,refute_9_925]) ).
cnf(refute_9_960,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_9_961,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_960,refute_9_959]) ).
cnf(refute_9_962,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_963,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) = op1(e12,e11)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_961,refute_9_962]) ).
cnf(refute_9_964,plain,
( e11 != op1(e12,e11)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_9_963,refute_9_395]) ).
cnf(refute_9_965,plain,
( h4(e12) != op2(e23,h2(e13))
| op1(e12,e11) != e12
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_966,plain,
( h4(e12) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e13))
| op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_401,refute_9_965]) ).
cnf(refute_9_967,plain,
( h4(e12) != op2(e23,h2(e13))
| op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_9_966,refute_9_217]) ).
cnf(refute_9_968,plain,
( e23 != op2(e23,h2(e13))
| h4(e12) != e23
| h4(e12) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_9_969,plain,
( e23 != op2(e23,h2(e13))
| h4(e12) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_207,refute_9_968]) ).
cnf(refute_9_970,plain,
( e23 != op2(e23,h2(e13))
| op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,h2(e13))) )],[refute_9_969,refute_9_967]) ).
cnf(refute_9_971,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_254]) ).
cnf(refute_9_972,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_9_225,refute_9_971]) ).
cnf(refute_9_973,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(op1(e10,e11)) != op2(e23,h2(e13))
| op2(e23,e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_9_974,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e13))
| op2(e23,e21) = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_9_875,refute_9_973]) ).
cnf(refute_9_975,plain,
( op2(e23,e21) = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e13))) )],[refute_9_972,refute_9_974]) ).
cnf(refute_9_976,plain,
( op2(e23,e21) != e23
| op2(e23,e21) != op2(e23,h2(e13))
| e23 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e13))) ),[0],$fot(e23)]]) ).
cnf(refute_9_977,plain,
( op2(e23,e21) != op2(e23,h2(e13))
| e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_819,refute_9_976]) ).
cnf(refute_9_978,plain,
( e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e13))) )],[refute_9_975,refute_9_977]) ).
cnf(refute_9_979,plain,
( e23 != op2(e23,h2(e13))
| op2(e23,h2(e13)) = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_9_980,plain,
( op2(e23,h2(e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h2(e13))) )],[refute_9_978,refute_9_979]) ).
cnf(refute_9_981,plain,
( e23 != e23
| op2(e23,h2(e13)) != e23
| e23 = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,h2(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_9_982,plain,
( e23 != e23
| e23 = op2(e23,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),e23) )],[refute_9_980,refute_9_981]) ).
cnf(refute_9_983,plain,
( e23 != e23
| op1(e12,e11) = e10
| op1(e12,e11) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h2(e13))) )],[refute_9_982,refute_9_970]) ).
cnf(refute_9_984,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_983]) ).
cnf(refute_9_985,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_986,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e12,e11) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_984,refute_9_985]) ).
cnf(refute_9_987,plain,
( e11 != e11
| op1(e12,e11) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_9_986,refute_9_964]) ).
cnf(refute_9_988,plain,
( op1(e12,e11) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_470,refute_9_987]) ).
cnf(refute_9_989,plain,
( h4(e10) != e23
| h4(op1(e12,e11)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_988,refute_9_480]) ).
cnf(refute_9_990,plain,
( h4(e10) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e23) )],[refute_9_989,refute_9_821]) ).
cnf(refute_9_991,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_867,refute_9_483]) ).
cnf(refute_9_992,plain,
( e23 != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_9_991,refute_9_990]) ).
cnf(refute_9_993,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_478,refute_9_992]) ).
cnf(refute_9_994,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_9_993,refute_9_781]) ).
cnf(refute_9_995,plain,
( h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_9_994,refute_9_778]) ).
cnf(refute_9_996,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_9_997,plain,
( e20 != e20
| h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_995,refute_9_996]) ).
cnf(refute_9_998,plain,
( e20 != e20
| ~ definitionFOFtoCNF_24
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_997,refute_9_641]) ).
cnf(refute_9_999,plain,
( ~ definitionFOFtoCNF_24
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_86,refute_9_998]) ).
cnf(refute_9_1000,plain,
( h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_9_994,refute_9_999]) ).
cnf(refute_9_1001,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_1000,refute_9_559]) ).
cnf(refute_9_1002,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_9_558,refute_9_1001]) ).
cnf(refute_9_1003,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_9_1002,refute_9_563]) ).
cnf(refute_9_1004,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_9_1003,refute_9_587]) ).
cnf(refute_9_1005,plain,
( e23 = e21
| op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_9_586,refute_9_1004]) ).
cnf(refute_9_1006,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_1005,refute_9_329]) ).
cnf(refute_9_1007,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_1006,refute_9_591]) ).
cnf(refute_9_1008,plain,
( h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_9_1003,refute_9_1007]) ).
cnf(refute_9_1009,plain,
( h2(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_1008,refute_9_335]) ).
cnf(refute_9_1010,plain,
( h2(e13) != e23
| e21 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_1009,refute_9_595]) ).
cnf(refute_9_1011,plain,
( e21 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_1000,refute_9_1010]) ).
cnf(refute_9_1012,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_1011,refute_9_49]) ).
cnf(refute_9_1013,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_9_1012,refute_9_487]) ).
cnf(refute_9_1014,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_1015,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_9_1013,refute_9_1014]) ).
cnf(refute_9_1016,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_9_173]) ).
cnf(refute_9_1017,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_9_152,refute_9_1016]) ).
cnf(refute_9_1018,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_9_179,refute_9_1017]) ).
cnf(refute_9_1019,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_9_174]) ).
cnf(refute_9_1020,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_9_1019,refute_9_629]) ).
cnf(refute_9_1021,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_175]) ).
cnf(refute_9_1022,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_9_1023,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_165,refute_9_1022]) ).
cnf(refute_9_1024,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_9_1023,refute_9_1021]) ).
cnf(refute_9_1025,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_9_1020,refute_9_1024]) ).
cnf(refute_9_1026,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_9_1027,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_1025,refute_9_1026]) ).
cnf(refute_9_1028,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_9_1027,refute_9_1018]) ).
cnf(refute_9_1029,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_9_486,refute_9_1028]) ).
cnf(refute_9_1030,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_9_1012,refute_9_1029]) ).
cnf(refute_9_1031,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_9_1032,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_9_1030,refute_9_1031]) ).
cnf(refute_9_1033,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_9_1032,refute_9_1015]) ).
cnf(refute_9_1034,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_9_1033,refute_9_0]) ).
cnf(refute_9_1035,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_150,refute_9_1034]) ).
fof(negate_10_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_10_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_10_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_10_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_10_0,normalize_10_2,normalize_10_4,normalize_10_6]) ).
fof(normalize_10_8,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_10_10,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_11,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_10_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_14,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_10_15,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_16,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_10_11]) ).
cnf(refute_10_0,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_1,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_3,refute_10_4]) ).
cnf(refute_10_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_10_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_6]) ).
cnf(refute_10_8,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_9,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_10,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_10_8,refute_10_9]) ).
cnf(refute_10_11,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_10_12,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_13,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_11,refute_10_12]) ).
cnf(refute_10_14,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_13]) ).
cnf(refute_10_15,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_10_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_15,refute_10_16]) ).
cnf(refute_10_18,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_17]) ).
cnf(refute_10_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_5,refute_10_19]) ).
cnf(refute_10_21,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_22,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_18,refute_10_21]) ).
cnf(refute_10_23,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_10_14,refute_10_22]) ).
cnf(refute_10_24,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_10_25,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_10_23,refute_10_24]) ).
cnf(refute_10_26,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_10_7,refute_10_25]) ).
cnf(refute_10_27,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_10_28,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_10_26,refute_10_27]) ).
cnf(refute_10_29,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_1,refute_10_28]) ).
cnf(refute_10_30,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_10_31,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_33,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_10_34,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_10_36,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_10_37,plain,
( op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_35,refute_10_36]) ).
cnf(refute_10_38,plain,
h4(op1(e12,e12)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_34,refute_10_37]) ).
cnf(refute_10_39,plain,
( h4(e13) != e21
| h4(op1(e12,e12)) != h4(e13)
| h4(op1(e12,e12)) = e21 ),
inference(subst,[],[refute_10_20:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_10_40,plain,
( h4(e13) != e21
| h4(op1(e12,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
h4(op1(e12,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_10_31,refute_10_40]) ).
cnf(refute_10_42,plain,
( e21 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) != e21
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e21) ),[1],$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_43,plain,
( e21 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e21) )],[refute_10_41,refute_10_42]) ).
cnf(refute_10_44,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e23)
| e21 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_10_45,plain,
( h4(e13) != op2(e23,e23)
| e21 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_10_31,refute_10_44]) ).
cnf(refute_10_46,plain,
e21 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_45]) ).
cnf(refute_10_47,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_48,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_10_46,refute_10_47]) ).
cnf(refute_10_49,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_50,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_10_51,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) != op2(e23,h4(e12))
| op2(e23,h4(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_52,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_10_50,refute_10_51]) ).
cnf(refute_10_53,plain,
op2(e23,h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_52]) ).
cnf(refute_10_54,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_55,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_56,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_54,refute_10_55]) ).
cnf(refute_10_57,plain,
op2(h4(e12),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_56]) ).
cnf(refute_10_58,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_59,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,h4(e12))) )],[refute_10_57,refute_10_58]) ).
cnf(refute_10_60,plain,
op2(h4(e12),h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e23)) )],[refute_10_53,refute_10_59]) ).
cnf(refute_10_61,plain,
( op2(e23,e23) != e21
| op2(h4(e12),h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = e21 ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_10_62,plain,
( op2(e23,e23) != e21
| op2(h4(e12),h4(e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,e23)) )],[refute_10_60,refute_10_61]) ).
cnf(refute_10_63,plain,
op2(h4(e12),h4(e12)) = e21,
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_48,refute_10_62]) ).
cnf(refute_10_64,plain,
( e21 != e21
| op2(h4(e12),h4(e12)) != e21
| e21 = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e12),h4(e12))) ),[1],$fot(e21)]]) ).
cnf(refute_10_65,plain,
( e21 != e21
| e21 = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),e21) )],[refute_10_63,refute_10_64]) ).
cnf(refute_10_66,plain,
( e21 != e21
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e12),h4(e12))) )],[refute_10_65,refute_10_43]) ).
cnf(refute_10_67,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_66,refute_10_0]) ).
cnf(refute_10_68,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_10_69,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_68,refute_10_67]) ).
fof(negate_11_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_11_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_11_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_11_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_11_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_11_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_11_4,normalize_11_5]) ).
fof(normalize_11_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_11_3,normalize_11_6,normalize_11_5]) ).
fof(normalize_11_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_11_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_11_7,normalize_11_8]) ).
fof(normalize_11_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_2,normalize_11_9,normalize_11_6,normalize_11_5,normalize_11_8]) ).
fof(normalize_11_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_11_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_11_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_11_11,normalize_11_12]) ).
fof(normalize_11_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_10,normalize_11_13,normalize_11_12]) ).
fof(normalize_11_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_11_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_14,normalize_11_15]) ).
fof(normalize_11_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_11_16]) ).
fof(normalize_11_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_9]) ).
fof(normalize_11_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_11_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_8]) ).
fof(normalize_11_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_11_23]) ).
fof(normalize_11_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_11_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_11_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_6]) ).
fof(normalize_11_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_11_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_11_33]) ).
fof(normalize_11_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_5]) ).
fof(normalize_11_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_11_35]) ).
fof(normalize_11_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_11_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_11_35]) ).
fof(normalize_11_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_11_33]) ).
fof(normalize_11_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_11_33]) ).
fof(normalize_11_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_13]) ).
fof(normalize_11_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_11_43]) ).
fof(normalize_11_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_12]) ).
fof(normalize_11_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_11_45]) ).
fof(normalize_11_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_50,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_51,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_15]) ).
fof(normalize_11_52,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_51]) ).
fof(normalize_11_53,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_51]) ).
fof(normalize_11_54,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_11_55,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_56,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_57,plain,
e20 != e23,
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_58,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_59,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_60,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_11_33]) ).
fof(normalize_11_61,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_11_62,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_11_61]) ).
fof(normalize_11_63,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_58,normalize_11_59,normalize_11_60,normalize_11_62]) ).
fof(normalize_11_64,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_11_63]) ).
fof(normalize_11_65,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_66,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_67,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_68,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_11_69,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_11_68]) ).
fof(normalize_11_70,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_11_71,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_72,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_11_73,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_11_72]) ).
fof(normalize_11_74,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_75,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_11_72]) ).
fof(normalize_11_76,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_77,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_78,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_79,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_11_80,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_11_81,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_11_82,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_11_80,normalize_11_81]) ).
fof(normalize_11_83,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_79,normalize_11_82,normalize_11_81]) ).
fof(normalize_11_84,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_11_85,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_83,normalize_11_84]) ).
fof(normalize_11_86,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_11_85]) ).
fof(normalize_11_87,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_11_86]) ).
fof(normalize_11_88,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_89,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_11_90,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_11_89]) ).
fof(normalize_11_91,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_11_90,normalize_11_16,normalize_11_13,normalize_11_9,normalize_11_6,normalize_11_5,normalize_11_8,normalize_11_15,normalize_11_12]) ).
fof(normalize_11_92,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_11_91,normalize_11_85,normalize_11_82,normalize_11_84,normalize_11_81]) ).
fof(normalize_11_93,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_11_94,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_11_95,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_11_93,normalize_11_94]) ).
fof(normalize_11_96,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_11_92,normalize_11_95,normalize_11_94]) ).
fof(normalize_11_97,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_11_98,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_11_96,normalize_11_97]) ).
fof(normalize_11_99,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_11_98]) ).
fof(normalize_11_100,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_11_99]) ).
fof(normalize_11_101,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_11_95]) ).
fof(normalize_11_102,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_11_101]) ).
fof(normalize_11_103,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_94]) ).
fof(normalize_11_104,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_11_103]) ).
fof(normalize_11_105,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_11_103]) ).
fof(normalize_11_106,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_11_97]) ).
fof(normalize_11_107,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_11_106]) ).
fof(normalize_11_108,plain,
e20 != e22,
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_109,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_110,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_11_99]) ).
fof(normalize_11_111,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_112,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_113,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_11_63]) ).
fof(normalize_11_114,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_115,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_11_68]) ).
fof(normalize_11_116,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_117,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_118,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_11_72]) ).
fof(normalize_11_119,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_82]) ).
fof(normalize_11_120,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_11_119]) ).
fof(normalize_11_121,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_122,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_123,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_81]) ).
fof(normalize_11_124,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_11_123]) ).
fof(normalize_11_125,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_11_126,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_11_125]) ).
fof(normalize_11_127,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_128,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_129,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_130,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_131,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_11_123]) ).
fof(normalize_11_132,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_11_125]) ).
fof(normalize_11_133,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_11_123]) ).
fof(normalize_11_134,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_135,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_136,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_11_84]) ).
fof(normalize_11_137,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_11_136]) ).
fof(normalize_11_138,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_11_136]) ).
fof(normalize_11_139,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_140,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_141,plain,
e21 != e22,
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_142,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_143,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_144,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_11_37]) ).
fof(normalize_11_145,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_146,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_11_125]) ).
fof(normalize_11_147,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_11_54]) ).
fof(normalize_11_148,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_149,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_11_86]) ).
fof(normalize_11_150,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_11_86]) ).
fof(normalize_11_151,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_11_63]) ).
fof(normalize_11_152,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_153,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_154,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_11_125]) ).
fof(normalize_11_155,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_11_68]) ).
fof(normalize_11_156,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_157,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_158,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_159,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_11_17]) ).
cnf(refute_11_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_4,refute_11_5]) ).
cnf(refute_11_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_11_3,refute_11_7]) ).
cnf(refute_11_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_11_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_9]) ).
cnf(refute_11_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_2,refute_11_10]) ).
cnf(refute_11_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_11_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_11_13,refute_11_14]) ).
cnf(refute_11_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_11_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_16]) ).
cnf(refute_11_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_12,refute_11_17]) ).
cnf(refute_11_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_11_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_11_20,refute_11_19]) ).
cnf(refute_11_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_11_18,refute_11_21]) ).
cnf(refute_11_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_11_22,refute_11_11]) ).
cnf(refute_11_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_11_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_25,refute_11_26]) ).
cnf(refute_11_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_27]) ).
cnf(refute_11_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_29,refute_11_30]) ).
cnf(refute_11_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_31]) ).
cnf(refute_11_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_6,refute_11_33]) ).
cnf(refute_11_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_32,refute_11_35]) ).
cnf(refute_11_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_11_28,refute_11_36]) ).
cnf(refute_11_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_11_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_11_37,refute_11_38]) ).
cnf(refute_11_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_39]) ).
cnf(refute_11_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_11_40,refute_11_41]) ).
cnf(refute_11_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_24,refute_11_42]) ).
cnf(refute_11_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_11_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_11_43,refute_11_44]) ).
cnf(refute_11_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_11_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_46]) ).
cnf(refute_11_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_23,refute_11_47]) ).
cnf(refute_11_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_48,refute_11_49]) ).
cnf(refute_11_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_11_32]) ).
cnf(refute_11_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_11_34]) ).
cnf(refute_11_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_11_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_11_52,refute_11_53]) ).
cnf(refute_11_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_11_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_11_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_11_55,refute_11_56]) ).
cnf(refute_11_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_57]) ).
cnf(refute_11_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_11_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_11_58,refute_11_59]) ).
cnf(refute_11_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_11_60,refute_11_51]) ).
cnf(refute_11_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_11_36]) ).
cnf(refute_11_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_11_38]) ).
cnf(refute_11_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_11_63,refute_11_64]) ).
cnf(refute_11_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_11_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_11_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_11_66,refute_11_67]) ).
cnf(refute_11_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_68]) ).
cnf(refute_11_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_11_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_11_69,refute_11_70]) ).
cnf(refute_11_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_11_71,refute_11_62]) ).
cnf(refute_11_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_74]) ).
cnf(refute_11_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_73,refute_11_75]) ).
cnf(refute_11_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_11_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_11_76,refute_11_77]) ).
cnf(refute_11_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_11_78,refute_11_72]) ).
cnf(refute_11_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_11_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_80]) ).
cnf(refute_11_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_81,refute_11_79]) ).
cnf(refute_11_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_11_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_11_76,refute_11_83]) ).
cnf(refute_11_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_11_84,refute_11_82]) ).
cnf(refute_11_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_11_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_86,refute_11_85]) ).
cnf(refute_11_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_11_87,refute_11_61]) ).
cnf(refute_11_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_11_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_11_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_11_90,refute_11_91]) ).
cnf(refute_11_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_92]) ).
cnf(refute_11_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_11_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_11_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_11_94,refute_11_95]) ).
cnf(refute_11_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_96]) ).
cnf(refute_11_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_11_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_11_97,refute_11_98]) ).
cnf(refute_11_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_11_93,refute_11_99]) ).
cnf(refute_11_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_11_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_11_100,refute_11_101]) ).
cnf(refute_11_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_11_89,refute_11_102]) ).
cnf(refute_11_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_105]) ).
cnf(refute_11_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_11_104,refute_11_106]) ).
cnf(refute_11_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_11_87,refute_11_107]) ).
cnf(refute_11_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_108,refute_11_109]) ).
cnf(refute_11_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_103,refute_11_110]) ).
cnf(refute_11_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_108,refute_11_112]) ).
cnf(refute_11_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_103,refute_11_113]) ).
cnf(refute_11_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_11_42]) ).
cnf(refute_11_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_11_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_11_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_11_116,refute_11_117]) ).
cnf(refute_11_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_118]) ).
cnf(refute_11_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_11_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_11_119,refute_11_120]) ).
cnf(refute_11_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_11_115,refute_11_121]) ).
cnf(refute_11_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_11_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_11_122,refute_11_123]) ).
cnf(refute_11_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_11_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_11_124,refute_11_125]) ).
cnf(refute_11_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_11_114,refute_11_126]) ).
cnf(refute_11_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_108,refute_11_128]) ).
cnf(refute_11_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_11_122,refute_11_129]) ).
cnf(refute_11_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_11_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_131]) ).
cnf(refute_11_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_11_130,refute_11_132]) ).
cnf(refute_11_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_11_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_11_133,refute_11_134]) ).
cnf(refute_11_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_11_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_11_135,refute_11_136]) ).
cnf(refute_11_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_108,refute_11_137]) ).
cnf(refute_11_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_11_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_11_138,refute_11_139]) ).
cnf(refute_11_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_11_127,refute_11_140]) ).
cnf(refute_11_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_11_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_11_141,refute_11_142]) ).
cnf(refute_11_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_11_111,refute_11_143]) ).
cnf(refute_11_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_11_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_11_144,refute_11_145]) ).
cnf(refute_11_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_11_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_11_146,refute_11_147]) ).
cnf(refute_11_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_11_148,refute_11_88]) ).
cnf(refute_11_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_11_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_149]) ).
cnf(refute_11_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_11_151,refute_11_50]) ).
cnf(refute_11_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_11_152,refute_11_1]) ).
cnf(refute_11_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_11_44]) ).
cnf(refute_11_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_11_46]) ).
cnf(refute_11_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_47]) ).
cnf(refute_11_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_11_48]) ).
cnf(refute_11_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_11_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_11_158,refute_11_159]) ).
cnf(refute_11_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_160]) ).
cnf(refute_11_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_11_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_11_161,refute_11_162]) ).
cnf(refute_11_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_11_157,refute_11_163]) ).
cnf(refute_11_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_11_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_11_164,refute_11_165]) ).
cnf(refute_11_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_11_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_166,refute_11_167]) ).
cnf(refute_11_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_11_168,refute_11_156]) ).
cnf(refute_11_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_11_155,refute_11_169]) ).
cnf(refute_11_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_11_170,refute_11_154]) ).
cnf(refute_11_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_49]) ).
cnf(refute_11_173,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_11_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_166,refute_11_173]) ).
cnf(refute_11_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_11_174,refute_11_172]) ).
cnf(refute_11_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_11_171,refute_11_175]) ).
cnf(refute_11_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_176,refute_11_153]) ).
cnf(refute_11_178,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_11_50]) ).
cnf(refute_11_179,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_11_180,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_179]) ).
cnf(refute_11_181,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_11_180,refute_11_178]) ).
cnf(refute_11_182,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_52]) ).
cnf(refute_11_183,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_53]) ).
cnf(refute_11_184,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_11_55]) ).
cnf(refute_11_185,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_186,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_185]) ).
cnf(refute_11_187,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_11_184,refute_11_186]) ).
cnf(refute_11_188,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_11_56]) ).
cnf(refute_11_189,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_11_190,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_189]) ).
cnf(refute_11_191,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_11_190,refute_11_188]) ).
cnf(refute_11_192,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_11_187,refute_11_191]) ).
cnf(refute_11_193,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_11_194,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_192,refute_11_193]) ).
cnf(refute_11_195,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_11_194,refute_11_183]) ).
cnf(refute_11_196,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_197,plain,
( op2(e20,e21) != e20
| e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_195,refute_11_196]) ).
cnf(refute_11_198,plain,
( e23 = e20
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_11_182,refute_11_197]) ).
cnf(refute_11_199,plain,
e20 != e23,
inference(canonicalize,[],[normalize_11_57]) ).
cnf(refute_11_200,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_201,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_200,refute_11_199]) ).
cnf(refute_11_202,plain,
( h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_198,refute_11_201]) ).
cnf(refute_11_203,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_11_204,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_202,refute_11_203]) ).
cnf(refute_11_205,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_11_204,refute_11_181]) ).
cnf(refute_11_206,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_64]) ).
cnf(refute_11_207,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_11_208,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_209,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_11_207,refute_11_208]) ).
cnf(refute_11_210,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_209]) ).
cnf(refute_11_211,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_11_65]) ).
cnf(refute_11_212,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_213,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_214,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_212,refute_11_213]) ).
cnf(refute_11_215,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_214]) ).
cnf(refute_11_216,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_11_217,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_11_215,refute_11_216]) ).
cnf(refute_11_218,plain,
op2(h4(e12),h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_11_210,refute_11_217]) ).
cnf(refute_11_219,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_220,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e21)) )],[refute_11_218,refute_11_219]) ).
cnf(refute_11_221,plain,
h4(op1(e12,e13)) != op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_220,refute_11_206]) ).
cnf(refute_11_222,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_11_66]) ).
cnf(refute_11_223,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_222,refute_11_10]) ).
cnf(refute_11_224,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_67]) ).
cnf(refute_11_225,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_11_226,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_225]) ).
cnf(refute_11_227,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_11_226,refute_11_224]) ).
cnf(refute_11_228,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_11_229,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_11_228,refute_11_227]) ).
cnf(refute_11_230,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_11_223,refute_11_229]) ).
cnf(refute_11_231,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_230,refute_11_47]) ).
cnf(refute_11_232,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_231,refute_11_49]) ).
cnf(refute_11_233,plain,
( h4(op1(e12,e13)) != e23
| op2(e23,e21) != e23
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_11_234,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_232,refute_11_233]) ).
cnf(refute_11_235,plain,
( h4(op1(e12,e13)) != e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_11_234,refute_11_221]) ).
cnf(refute_11_236,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_11_69]) ).
cnf(refute_11_237,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_71]) ).
cnf(refute_11_238,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_11_73]) ).
cnf(refute_11_239,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_11_240,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_11_238,refute_11_239]) ).
cnf(refute_11_241,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_242,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_241]) ).
cnf(refute_11_243,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_11_242,refute_11_237]) ).
cnf(refute_11_244,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_11_245,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_11_244,refute_11_243]) ).
cnf(refute_11_246,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_236,refute_11_245]) ).
cnf(refute_11_247,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_11_74]) ).
cnf(refute_11_248,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_11_75]) ).
cnf(refute_11_249,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_11_250,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_11_251,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_249,refute_11_250]) ).
cnf(refute_11_252,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_251]) ).
cnf(refute_11_253,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_11_254,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_11_255,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_253,refute_11_254]) ).
cnf(refute_11_256,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_255]) ).
cnf(refute_11_257,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_258,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_256,refute_11_257]) ).
cnf(refute_11_259,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_11_252,refute_11_258]) ).
cnf(refute_11_260,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_11_261,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_11_259,refute_11_260]) ).
cnf(refute_11_262,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_248,refute_11_261]) ).
cnf(refute_11_263,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_264,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_11_262,refute_11_263]) ).
cnf(refute_11_265,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_11_266,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_264,refute_11_265]) ).
cnf(refute_11_267,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_11_266,refute_11_247]) ).
cnf(refute_11_268,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_246,refute_11_267]) ).
cnf(refute_11_269,plain,
( h4(e12) != e23
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_270,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_11_268,refute_11_269]) ).
cnf(refute_11_271,plain,
( h4(e12) != e23
| op1(e12,e13) = e10
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_270,refute_11_235]) ).
cnf(refute_11_272,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_273,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_272]) ).
cnf(refute_11_274,plain,
( e23 != e23
| op1(e12,e13) = e10
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_273,refute_11_271]) ).
cnf(refute_11_275,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_11_276,plain,
( op1(e12,e13) = e10
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_274]) ).
cnf(refute_11_277,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_11_278,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_11_276,refute_11_277]) ).
cnf(refute_11_279,plain,
( h1(e13) != e23
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_11_278,refute_11_181]) ).
cnf(refute_11_280,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_281,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_202,refute_11_280]) ).
cnf(refute_11_282,plain,
( e23 != e23
| op1(e12,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_281,refute_11_279]) ).
cnf(refute_11_283,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_282]) ).
cnf(refute_11_284,plain,
( h4(e10) != op2(e23,e21)
| op1(e12,e13) != e10
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_285,plain,
( h4(e10) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_283,refute_11_284]) ).
cnf(refute_11_286,plain,
( h4(e10) != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_11_285,refute_11_221]) ).
cnf(refute_11_287,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_11_76]) ).
cnf(refute_11_288,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_287,refute_11_10]) ).
cnf(refute_11_289,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_11_77]) ).
cnf(refute_11_290,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_291,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_290]) ).
cnf(refute_11_292,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_11_291,refute_11_289]) ).
cnf(refute_11_293,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_11_294,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_11_293,refute_11_292]) ).
cnf(refute_11_295,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_11_288,refute_11_294]) ).
cnf(refute_11_296,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_295,refute_11_47]) ).
cnf(refute_11_297,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_11_78]) ).
cnf(refute_11_298,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_11_299,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_298]) ).
cnf(refute_11_300,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_299]) ).
cnf(refute_11_301,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_302,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_303,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_11_301,refute_11_302]) ).
cnf(refute_11_304,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_300,refute_11_303]) ).
cnf(refute_11_305,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_306,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_11_304,refute_11_305]) ).
cnf(refute_11_307,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_11_297,refute_11_306]) ).
cnf(refute_11_308,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_11_309,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_11_307,refute_11_308]) ).
cnf(refute_11_310,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_11_311,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_310]) ).
cnf(refute_11_312,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_11_296,refute_11_311]) ).
cnf(refute_11_313,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_312,refute_11_49]) ).
cnf(refute_11_314,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_313,refute_11_193]) ).
cnf(refute_11_315,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_11_314,refute_11_183]) ).
cnf(refute_11_316,plain,
( e23 != op2(e23,e21)
| h4(e10) != e23
| h4(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_317,plain,
( e23 != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_315,refute_11_316]) ).
cnf(refute_11_318,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_11_317,refute_11_286]) ).
cnf(refute_11_319,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_11_320,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_232,refute_11_319]) ).
cnf(refute_11_321,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_11_320,refute_11_318]) ).
cnf(refute_11_322,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_321]) ).
cnf(refute_11_323,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_11_324,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_11_322,refute_11_323]) ).
cnf(refute_11_325,plain,
( e23 != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_11_324,refute_11_205]) ).
cnf(refute_11_326,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_325]) ).
cnf(refute_11_327,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_326,refute_11_177]) ).
cnf(refute_11_328,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_11_87]) ).
cnf(refute_11_329,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_11_88]) ).
cnf(refute_11_330,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_11_331,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_330]) ).
cnf(refute_11_332,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_11_331,refute_11_329]) ).
cnf(refute_11_333,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_11_100]) ).
cnf(refute_11_334,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_11_102]) ).
cnf(refute_11_335,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_11_334,refute_11_294]) ).
cnf(refute_11_336,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_11_104]) ).
cnf(refute_11_337,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_11_338,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_11_339,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_11_337,refute_11_338]) ).
cnf(refute_11_340,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_339]) ).
cnf(refute_11_341,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_11_342,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_11_340,refute_11_341]) ).
cnf(refute_11_343,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_11_342,refute_11_336]) ).
cnf(refute_11_344,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_11_345,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_11_210,refute_11_344]) ).
cnf(refute_11_346,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_11_345,refute_11_343]) ).
cnf(refute_11_347,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_11_105]) ).
cnf(refute_11_348,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_11_349,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_347,refute_11_348]) ).
cnf(refute_11_350,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_349,refute_11_346]) ).
cnf(refute_11_351,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_350]) ).
cnf(refute_11_352,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_11_351,refute_11_335]) ).
cnf(refute_11_353,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_11_333,refute_11_352]) ).
cnf(refute_11_354,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_11_107]) ).
cnf(refute_11_355,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_11_356,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_166,refute_11_355]) ).
cnf(refute_11_357,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_11_354,refute_11_356]) ).
cnf(refute_11_358,plain,
e20 != e22,
inference(canonicalize,[],[normalize_11_108]) ).
cnf(refute_11_359,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_357,refute_11_358]) ).
cnf(refute_11_360,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_11_353,refute_11_359]) ).
cnf(refute_11_361,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_11_362,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_360,refute_11_361]) ).
cnf(refute_11_363,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_11_362,refute_11_332]) ).
cnf(refute_11_364,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_11_109]) ).
cnf(refute_11_365,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_11_110]) ).
cnf(refute_11_366,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_11_365,refute_11_352]) ).
cnf(refute_11_367,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_11_366,refute_11_359]) ).
cnf(refute_11_368,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_11_369,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_11_367,refute_11_368]) ).
cnf(refute_11_370,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_11_369,refute_11_364]) ).
cnf(refute_11_371,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_11_111]) ).
cnf(refute_11_372,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_373,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_372]) ).
cnf(refute_11_374,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_11_371,refute_11_373]) ).
cnf(refute_11_375,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_11_112]) ).
cnf(refute_11_376,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_11_377,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_376]) ).
cnf(refute_11_378,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_11_377,refute_11_375]) ).
cnf(refute_11_379,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_11_374,refute_11_378]) ).
cnf(refute_11_380,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_11_379,refute_11_311]) ).
cnf(refute_11_381,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_382,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_11_380,refute_11_381]) ).
cnf(refute_11_383,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_11_382,refute_11_370]) ).
cnf(refute_11_384,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_383]) ).
cnf(refute_11_385,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_11_386,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_384,refute_11_385]) ).
cnf(refute_11_387,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_11_386,refute_11_363]) ).
cnf(refute_11_388,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_387]) ).
cnf(refute_11_389,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_11_113]) ).
cnf(refute_11_390,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_11_391,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_392,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_11_390,refute_11_391]) ).
cnf(refute_11_393,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_392]) ).
cnf(refute_11_394,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_11_114]) ).
cnf(refute_11_395,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_11_396,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_397,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_395,refute_11_396]) ).
cnf(refute_11_398,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_300,refute_11_397]) ).
cnf(refute_11_399,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_400,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_401,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_399,refute_11_400]) ).
cnf(refute_11_402,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_300,refute_11_401]) ).
cnf(refute_11_403,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_11_404,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_402,refute_11_403]) ).
cnf(refute_11_405,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_11_398,refute_11_404]) ).
cnf(refute_11_406,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_407,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_11_405,refute_11_406]) ).
cnf(refute_11_408,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_407]) ).
cnf(refute_11_409,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_410,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_11_408,refute_11_409]) ).
cnf(refute_11_411,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_394,refute_11_410]) ).
cnf(refute_11_412,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_11_413,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_11_414,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_11_412,refute_11_413]) ).
cnf(refute_11_415,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_411,refute_11_414]) ).
cnf(refute_11_416,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_11_417,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_11_415,refute_11_416]) ).
cnf(refute_11_418,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_11_393,refute_11_417]) ).
cnf(refute_11_419,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_11_420,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_11_418,refute_11_419]) ).
cnf(refute_11_421,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_11_389,refute_11_420]) ).
cnf(refute_11_422,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_423,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_11_388,refute_11_422]) ).
cnf(refute_11_424,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_423]) ).
cnf(refute_11_425,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_426,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_300,refute_11_425]) ).
cnf(refute_11_427,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_11_424,refute_11_426]) ).
cnf(refute_11_428,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_11_115]) ).
cnf(refute_11_429,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_11_116]) ).
cnf(refute_11_430,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_11_431,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_430]) ).
cnf(refute_11_432,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_11_431,refute_11_429]) ).
cnf(refute_11_433,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_11_428,refute_11_432]) ).
cnf(refute_11_434,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_11_117]) ).
cnf(refute_11_435,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_11_118]) ).
cnf(refute_11_436,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_11_437,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_11_438,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_11_436,refute_11_437]) ).
cnf(refute_11_439,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_438]) ).
cnf(refute_11_440,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_11_441,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_11_439,refute_11_440]) ).
cnf(refute_11_442,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_11_435,refute_11_441]) ).
cnf(refute_11_443,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_11_444,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_11_442,refute_11_443]) ).
cnf(refute_11_445,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_11_446,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_11_444,refute_11_445]) ).
cnf(refute_11_447,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_11_446,refute_11_434]) ).
cnf(refute_11_448,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_11_433,refute_11_447]) ).
cnf(refute_11_449,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_450,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_11_448,refute_11_449]) ).
cnf(refute_11_451,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_450]) ).
cnf(refute_11_452,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_11_453,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_452]) ).
cnf(refute_11_454,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_11_455,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_454]) ).
cnf(refute_11_456,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_11_457,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_11_455,refute_11_456]) ).
cnf(refute_11_458,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_11_453,refute_11_457]) ).
cnf(refute_11_459,plain,
( e23 = h4(op1(e11,e12))
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_11_451,refute_11_458]) ).
cnf(refute_11_460,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_11_461,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_11_427,refute_11_460]) ).
cnf(refute_11_462,plain,
( e23 = e21
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_11_459,refute_11_461]) ).
cnf(refute_11_463,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_11_464,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_463,refute_11_49]) ).
cnf(refute_11_465,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_11_462,refute_11_464]) ).
cnf(refute_11_466,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_11_467,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_11_465,refute_11_466]) ).
cnf(refute_11_468,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_11_427,refute_11_467]) ).
cnf(refute_11_469,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_470,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_411,refute_11_469]) ).
cnf(refute_11_471,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_468,refute_11_470]) ).
cnf(refute_11_472,plain,
( h2(e13) != e21
| h2(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_11_473,plain,
( h2(e13) != e23
| e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_471,refute_11_472]) ).
cnf(refute_11_474,plain,
( e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_11_388,refute_11_473]) ).
cnf(refute_11_475,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_474,refute_11_49]) ).
cnf(refute_11_476,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_475,refute_11_328]) ).
cnf(refute_11_477,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_11_120]) ).
cnf(refute_11_478,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_11_479,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_478]) ).
cnf(refute_11_480,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_11_477,refute_11_479]) ).
cnf(refute_11_481,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_121]) ).
cnf(refute_11_482,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_483,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_482]) ).
cnf(refute_11_484,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_11_483,refute_11_481]) ).
cnf(refute_11_485,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_486,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_485]) ).
cnf(refute_11_487,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_11_488,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_487]) ).
cnf(refute_11_489,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_11_488,refute_11_486]) ).
cnf(refute_11_490,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_11_489,refute_11_484]) ).
cnf(refute_11_491,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_11_480,refute_11_490]) ).
cnf(refute_11_492,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_11_122]) ).
cnf(refute_11_493,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_11_124]) ).
cnf(refute_11_494,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_495,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_11_493,refute_11_494]) ).
cnf(refute_11_496,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_11_495,refute_11_492]) ).
cnf(refute_11_497,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_11_126]) ).
cnf(refute_11_498,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_127]) ).
cnf(refute_11_499,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_11_500,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_166,refute_11_499]) ).
cnf(refute_11_501,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_11_500,refute_11_498]) ).
cnf(refute_11_502,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_11_497,refute_11_501]) ).
cnf(refute_11_503,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_128]) ).
cnf(refute_11_504,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_505,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_504]) ).
cnf(refute_11_506,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_11_505,refute_11_503]) ).
cnf(refute_11_507,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_11_508,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_507]) ).
cnf(refute_11_509,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_11_508,refute_11_506]) ).
cnf(refute_11_510,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_11_502,refute_11_509]) ).
cnf(refute_11_511,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_11_512,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_11_510,refute_11_511]) ).
cnf(refute_11_513,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_11_512,refute_11_496]) ).
cnf(refute_11_514,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_11_515,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_514,refute_11_513]) ).
cnf(refute_11_516,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_515,refute_11_233]) ).
cnf(refute_11_517,plain,
( h4(op1(e12,e13)) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_11_516,refute_11_221]) ).
cnf(refute_11_518,plain,
( h4(e12) != op2(e23,e21)
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_519,plain,
( h4(e12) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_11_268,refute_11_518]) ).
cnf(refute_11_520,plain,
( h4(e12) != op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_11_519,refute_11_221]) ).
cnf(refute_11_521,plain,
( e23 != op2(e23,e21)
| h4(e12) != e23
| h4(e12) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_522,plain,
( e23 != op2(e23,e21)
| h4(e12) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_521]) ).
cnf(refute_11_523,plain,
( e23 != op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_11_522,refute_11_520]) ).
cnf(refute_11_524,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_510,refute_11_319]) ).
cnf(refute_11_525,plain,
( e23 != e23
| op1(e12,e13) = e10
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_11_524,refute_11_523]) ).
cnf(refute_11_526,plain,
( op1(e12,e13) = e10
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_525]) ).
cnf(refute_11_527,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_11_526,refute_11_511]) ).
cnf(refute_11_528,plain,
( e22 != e22
| op1(e12,e13) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_11_527,refute_11_496]) ).
cnf(refute_11_529,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_514,refute_11_528]) ).
cnf(refute_11_530,plain,
( h4(e10) != e23
| op1(e12,e13) != e10
| h4(op1(e12,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),e23) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_531,plain,
( h4(e10) != e23
| h4(op1(e12,e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_529,refute_11_530]) ).
cnf(refute_11_532,plain,
( h4(e10) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_531,refute_11_517]) ).
cnf(refute_11_533,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_11_129]) ).
cnf(refute_11_534,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_11_130]) ).
cnf(refute_11_535,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_11_131]) ).
cnf(refute_11_536,plain,
( op2(e20,e22) != e22
| op2(e21,e22) != e22
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_11_537,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_11_535,refute_11_536]) ).
cnf(refute_11_538,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_11_537,refute_11_534]) ).
cnf(refute_11_539,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_11_132]) ).
cnf(refute_11_540,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_11_539,refute_11_191]) ).
cnf(refute_11_541,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_11_540,refute_11_169]) ).
cnf(refute_11_542,plain,
( e22 != e22
| op2(e20,e22) != e22
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_11_543,plain,
( e22 != e22
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_11_541,refute_11_542]) ).
cnf(refute_11_544,plain,
( e22 != e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_11_543,refute_11_538]) ).
cnf(refute_11_545,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_514,refute_11_544]) ).
cnf(refute_11_546,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_11_547,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_11_545,refute_11_546]) ).
cnf(refute_11_548,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_11_547,refute_11_533]) ).
cnf(refute_11_549,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_11_133]) ).
cnf(refute_11_550,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_11_134]) ).
cnf(refute_11_551,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_11_550,refute_11_106]) ).
cnf(refute_11_552,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_11_551,refute_11_509]) ).
cnf(refute_11_553,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_11_554,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_552,refute_11_553]) ).
cnf(refute_11_555,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_11_554,refute_11_549]) ).
cnf(refute_11_556,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_11_557,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_555,refute_11_556]) ).
cnf(refute_11_558,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_557,refute_11_548]) ).
cnf(refute_11_559,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_558]) ).
cnf(refute_11_560,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_561,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_559,refute_11_560]) ).
cnf(refute_11_562,plain,
( h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_561]) ).
cnf(refute_11_563,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_11_564,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_563]) ).
cnf(refute_11_565,plain,
( h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_11_562,refute_11_564]) ).
cnf(refute_11_566,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_11_567,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_11_448,refute_11_566]) ).
cnf(refute_11_568,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_567]) ).
cnf(refute_11_569,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_570,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_411,refute_11_569]) ).
cnf(refute_11_571,plain,
( h2(e13) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| h2(e13) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_11_572,plain,
( h2(e13) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_11_455,refute_11_571]) ).
cnf(refute_11_573,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),e23)) )],[refute_11_570,refute_11_572]) ).
cnf(refute_11_574,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_11_568,refute_11_573]) ).
cnf(refute_11_575,plain,
( h2(e13) != h4(op1(e11,e12))
| h4(op1(e11,e12)) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e10)) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_11_576,plain,
( h2(e13) != h4(op1(e11,e12))
| h2(e13) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_11_565,refute_11_575]) ).
cnf(refute_11_577,plain,
( h2(e13) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_11_574,refute_11_576]) ).
cnf(refute_11_578,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_11_135]) ).
cnf(refute_11_579,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_11_580,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_579]) ).
cnf(refute_11_581,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_11_580,refute_11_578]) ).
cnf(refute_11_582,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_11_583,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_582]) ).
cnf(refute_11_584,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_11_583,refute_11_581]) ).
cnf(refute_11_585,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_11_577,refute_11_584]) ).
cnf(refute_11_586,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_587,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_11_585,refute_11_586]) ).
cnf(refute_11_588,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_11_565,refute_11_587]) ).
cnf(refute_11_589,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_11_590,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_589]) ).
cnf(refute_11_591,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_11_588,refute_11_590]) ).
cnf(refute_11_592,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_11_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_11_593,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_11_591,refute_11_592]) ).
cnf(refute_11_594,plain,
( e23 != e23
| h4(e10) != e23
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_595,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_593,refute_11_594]) ).
cnf(refute_11_596,plain,
( e23 != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_595,refute_11_532]) ).
cnf(refute_11_597,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_596]) ).
cnf(refute_11_598,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_11_597,refute_11_491]) ).
cnf(refute_11_599,plain,
( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_598,refute_11_476]) ).
cnf(refute_11_600,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_11_137]) ).
cnf(refute_11_601,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_11_138]) ).
cnf(refute_11_602,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_11_139]) ).
cnf(refute_11_603,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_11_604,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_15,refute_11_603]) ).
cnf(refute_11_605,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_11_602,refute_11_604]) ).
cnf(refute_11_606,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_11_605,refute_11_464]) ).
cnf(refute_11_607,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_140]) ).
cnf(refute_11_608,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_609,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_608]) ).
cnf(refute_11_610,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_11_609,refute_11_607]) ).
cnf(refute_11_611,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_11_612,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_611]) ).
cnf(refute_11_613,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_11_612,refute_11_610]) ).
cnf(refute_11_614,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_11_606,refute_11_613]) ).
cnf(refute_11_615,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_614,refute_11_553]) ).
cnf(refute_11_616,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_11_615,refute_11_601]) ).
cnf(refute_11_617,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_11_618,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_11_616,refute_11_617]) ).
cnf(refute_11_619,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_11_600,refute_11_618]) ).
cnf(refute_11_620,plain,
e21 != e22,
inference(canonicalize,[],[normalize_11_141]) ).
cnf(refute_11_621,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_619,refute_11_620]) ).
cnf(refute_11_622,plain,
( op2(e21,op2(e21,e20)) != e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_11_621,refute_11_599]) ).
cnf(refute_11_623,plain,
( op2(e21,e20) != e23
| op2(e21,e23) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e23)]]) ).
cnf(refute_11_624,plain,
( op2(e21,e23) != e20
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_11_380,refute_11_623]) ).
cnf(refute_11_625,plain,
( op2(e21,e23) != e20
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_11_624,refute_11_622]) ).
cnf(refute_11_626,plain,
( h4(e10) != e20
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_11_627,plain,
( h4(e10) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_626]) ).
cnf(refute_11_628,plain,
( h4(e10) != e20
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_627,refute_11_625]) ).
cnf(refute_11_629,plain,
( h4(e10) != e20
| h4(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_11_630,plain,
( h4(e10) != e20
| e20 = e23
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_628,refute_11_629]) ).
cnf(refute_11_631,plain,
( h4(e10) != e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_630,refute_11_199]) ).
cnf(refute_11_632,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_11_142]) ).
cnf(refute_11_633,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_634,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_633]) ).
cnf(refute_11_635,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_11_632,refute_11_634]) ).
cnf(refute_11_636,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_11_637,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_11_309,refute_11_636]) ).
cnf(refute_11_638,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_635,refute_11_637]) ).
cnf(refute_11_639,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_143]) ).
cnf(refute_11_640,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_11_641,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_166,refute_11_640]) ).
cnf(refute_11_642,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_11_641,refute_11_639]) ).
cnf(refute_11_643,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_11_638,refute_11_642]) ).
cnf(refute_11_644,plain,
( op2(e21,e20) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_11_645,plain,
( h2(e13) = e20
| h4(e10) = e20
| op2(e21,op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_11_643,refute_11_644]) ).
cnf(refute_11_646,plain,
( h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_11_645,refute_11_622]) ).
cnf(refute_11_647,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_11_648,plain,
( e20 != e20
| h2(e13) = e20
| h4(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_646,refute_11_647]) ).
cnf(refute_11_649,plain,
( e20 != e20
| h2(e13) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_648,refute_11_631]) ).
cnf(refute_11_650,plain,
( h2(e13) = e20
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_86,refute_11_649]) ).
cnf(refute_11_651,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h2(e13) = e20
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_11_650,refute_11_422]) ).
cnf(refute_11_652,plain,
( h2(e13) = e20
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_11_421,refute_11_651]) ).
cnf(refute_11_653,plain,
( h2(e13) = e20
| h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_11_652,refute_11_426]) ).
cnf(refute_11_654,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_11_653,refute_11_460]) ).
cnf(refute_11_655,plain,
( e23 = e21
| h2(e13) = e20
| op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_11_459,refute_11_654]) ).
cnf(refute_11_656,plain,
( h2(e13) = e20
| op1(e11,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_11_655,refute_11_464]) ).
cnf(refute_11_657,plain,
( h4(op1(e11,e12)) != e21
| h2(e13) = e20
| h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_11_656,refute_11_466]) ).
cnf(refute_11_658,plain,
( h2(e13) = e20
| h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_11_653,refute_11_657]) ).
cnf(refute_11_659,plain,
( h2(e13) = e20
| h2(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_658,refute_11_470]) ).
cnf(refute_11_660,plain,
( h2(e13) != e23
| e21 = e23
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_659,refute_11_472]) ).
cnf(refute_11_661,plain,
( e21 = e23
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_11_650,refute_11_660]) ).
cnf(refute_11_662,plain,
( h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_661,refute_11_49]) ).
cnf(refute_11_663,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_664,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_662,refute_11_663]) ).
cnf(refute_11_665,plain,
( h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_103,refute_11_664]) ).
cnf(refute_11_666,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_11_144]) ).
cnf(refute_11_667,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_11_668,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_11_669,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_11_667,refute_11_668]) ).
cnf(refute_11_670,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_669]) ).
cnf(refute_11_671,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_672,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_11_673,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_671,refute_11_672]) ).
cnf(refute_11_674,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_673]) ).
cnf(refute_11_675,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_11_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_11_676,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_11_674,refute_11_675]) ).
cnf(refute_11_677,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_11_670,refute_11_676]) ).
cnf(refute_11_678,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_679,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_11_677,refute_11_678]) ).
cnf(refute_11_680,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_666,refute_11_679]) ).
cnf(refute_11_681,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_11_145]) ).
cnf(refute_11_682,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_11_146]) ).
cnf(refute_11_683,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_11_682,refute_11_378]) ).
cnf(refute_11_684,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_11_683,refute_11_642]) ).
cnf(refute_11_685,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_11_686,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_11_684,refute_11_685]) ).
cnf(refute_11_687,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_11_686,refute_11_534]) ).
cnf(refute_11_688,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_11_147]) ).
cnf(refute_11_689,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_690,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_689]) ).
cnf(refute_11_691,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_11_688,refute_11_690]) ).
cnf(refute_11_692,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_148]) ).
cnf(refute_11_693,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_694,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_8,refute_11_693]) ).
cnf(refute_11_695,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_11_694,refute_11_692]) ).
cnf(refute_11_696,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_11_697,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_45,refute_11_696]) ).
cnf(refute_11_698,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_11_697,refute_11_695]) ).
cnf(refute_11_699,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_11_691,refute_11_698]) ).
cnf(refute_11_700,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_11_701,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_11_699,refute_11_700]) ).
cnf(refute_11_702,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_11_701,refute_11_687]) ).
cnf(refute_11_703,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_702]) ).
cnf(refute_11_704,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_11_149]) ).
cnf(refute_11_705,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_475,refute_11_704]) ).
cnf(refute_11_706,plain,
( ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_598,refute_11_705]) ).
cnf(refute_11_707,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_11_621,refute_11_706]) ).
cnf(refute_11_708,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_11_709,plain,
( op2(e21,e22) != e22
| e21 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_11_707,refute_11_708]) ).
cnf(refute_11_710,plain,
( e21 = e22
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_11_703,refute_11_709]) ).
cnf(refute_11_711,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_710,refute_11_620]) ).
cnf(refute_11_712,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_11_713,plain,
( e21 != op2(e22,e21)
| h1(e13) = e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_711,refute_11_712]) ).
cnf(refute_11_714,plain,
( e21 != op2(e22,e21)
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_11_713,refute_11_681]) ).
cnf(refute_11_715,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_11_150]) ).
cnf(refute_11_716,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_11_475,refute_11_715]) ).
cnf(refute_11_717,plain,
( ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_11_598,refute_11_716]) ).
cnf(refute_11_718,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_11_621,refute_11_717]) ).
cnf(refute_11_719,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_11_720,plain,
( e21 != e21
| e21 = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_718,refute_11_719]) ).
cnf(refute_11_721,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_11_720,refute_11_714]) ).
cnf(refute_11_722,plain,
( h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_721]) ).
cnf(refute_11_723,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_724,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_11_722,refute_11_723]) ).
cnf(refute_11_725,plain,
( h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_11_680,refute_11_724]) ).
cnf(refute_11_726,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_727,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_11_722,refute_11_726]) ).
cnf(refute_11_728,plain,
( h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) )],[refute_11_725,refute_11_727]) ).
cnf(refute_11_729,plain,
( h1(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h1(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_11_730,plain,
( h1(e11) != op2(e21,e21)
| h1(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_729]) ).
cnf(refute_11_731,plain,
( h1(e11) = h2(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_11_728,refute_11_730]) ).
cnf(refute_11_732,plain,
( h1(e11) != h2(e13)
| h2(e13) = h1(e11) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_11_733,plain,
( h2(e13) = h1(e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_11_731,refute_11_732]) ).
cnf(refute_11_734,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != h1(e11)
| h2(e11) = op2(h2(e13),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_11_735,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e11)) )],[refute_11_733,refute_11_734]) ).
cnf(refute_11_736,plain,
( h2(e11) = op2(h2(e13),h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_103,refute_11_735]) ).
cnf(refute_11_737,plain,
( h2(e11) != op2(h2(e13),h1(e11))
| h2(e13) != e20
| h2(e11) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_738,plain,
( h2(e11) != op2(h2(e13),h1(e11))
| h2(e11) = op2(e20,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_662,refute_11_737]) ).
cnf(refute_11_739,plain,
( h2(e11) = op2(e20,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h1(e11))) )],[refute_11_736,refute_11_738]) ).
cnf(refute_11_740,plain,
( h1(e11) != h2(e13)
| h2(e13) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_741,plain,
( h1(e11) != h2(e13)
| h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_662,refute_11_740]) ).
cnf(refute_11_742,plain,
( h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_11_731,refute_11_741]) ).
cnf(refute_11_743,plain,
( h1(e11) != e20
| h2(e11) != op2(e20,h1(e11))
| h2(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_744,plain,
( h2(e11) != op2(e20,h1(e11))
| h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_742,refute_11_743]) ).
cnf(refute_11_745,plain,
( h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h1(e11))) )],[refute_11_739,refute_11_744]) ).
cnf(refute_11_746,plain,
( h2(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h2(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_11_747,plain,
( h2(e11) != op2(e20,e20)
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_746]) ).
cnf(refute_11_748,plain,
( h2(e11) = h1(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e20)) )],[refute_11_745,refute_11_747]) ).
cnf(refute_11_749,plain,
( h2(e11) != h1(e13)
| h2(e11) != op2(h2(e13),e20)
| h1(e13) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_750,plain,
( h2(e11) != op2(h2(e13),e20)
| h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_11_748,refute_11_749]) ).
cnf(refute_11_751,plain,
( h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) )],[refute_11_665,refute_11_750]) ).
cnf(refute_11_752,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_11_151]) ).
cnf(refute_11_753,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_11_754,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_755,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_11_753,refute_11_754]) ).
cnf(refute_11_756,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_755]) ).
cnf(refute_11_757,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_11_758,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_11_756,refute_11_757]) ).
cnf(refute_11_759,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_11_752,refute_11_758]) ).
cnf(refute_11_760,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_11_152]) ).
cnf(refute_11_761,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_11_762,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_54,refute_11_761]) ).
cnf(refute_11_763,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_11_762,refute_11_760]) ).
cnf(refute_11_764,plain,
( h2(e13) != e20
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_11_765,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = h2(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_662,refute_11_764]) ).
cnf(refute_11_766,plain,
( op2(e20,e21) != e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_11_765,refute_11_763]) ).
cnf(refute_11_767,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_11_153]) ).
cnf(refute_11_768,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_11_769,plain,
( op2(e20,e21) != e23
| h4(e10) = e23
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_313,refute_11_768]) ).
cnf(refute_11_770,plain,
( op2(e20,e21) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_11_769,refute_11_767]) ).
cnf(refute_11_771,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_11_772,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_11_541,refute_11_771]) ).
cnf(refute_11_773,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_11_772,refute_11_534]) ).
cnf(refute_11_774,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_11_775,plain,
( e21 != e21
| e21 = op2(e21,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_11_707,refute_11_774]) ).
cnf(refute_11_776,plain,
( e21 != e21
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_11_775,refute_11_773]) ).
cnf(refute_11_777,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_776]) ).
cnf(refute_11_778,plain,
( op2(e20,e21) != e22
| op2(e20,e22) != e22
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_11_779,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_11_777,refute_11_778]) ).
cnf(refute_11_780,plain,
( op2(e20,e21) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_11_779,refute_11_533]) ).
cnf(refute_11_781,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_11_782,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_11_718,refute_11_781]) ).
cnf(refute_11_783,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_11_782,refute_11_681]) ).
cnf(refute_11_784,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_11_154]) ).
cnf(refute_11_785,plain,
( e21 != e21
| op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_784,refute_11_556]) ).
cnf(refute_11_786,plain,
( e21 != e21
| op2(e20,e21) = e20
| op2(e20,e21) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_785,refute_11_783]) ).
cnf(refute_11_787,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_786]) ).
cnf(refute_11_788,plain,
( e22 != e22
| op2(e20,e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(e22)]]) ).
cnf(refute_11_789,plain,
( e22 != e22
| op2(e20,e21) = e20
| op2(e20,e21) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_787,refute_11_788]) ).
cnf(refute_11_790,plain,
( e22 != e22
| op2(e20,e21) = e20
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_789,refute_11_780]) ).
cnf(refute_11_791,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_514,refute_11_790]) ).
cnf(refute_11_792,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_793,plain,
( e23 != e23
| op2(e20,e21) = e20
| op2(e20,e21) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_791,refute_11_792]) ).
cnf(refute_11_794,plain,
( e23 != e23
| h4(e10) = e23
| op2(e20,e21) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_793,refute_11_770]) ).
cnf(refute_11_795,plain,
( h4(e10) = e23
| op2(e20,e21) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_275,refute_11_794]) ).
cnf(refute_11_796,plain,
( e20 != e20
| op2(e20,e21) != e20
| op2(e20,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_11_797,plain,
( e20 != e20
| h4(e10) = e23
| op2(e20,e21) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_11_795,refute_11_796]) ).
cnf(refute_11_798,plain,
( e20 != e20
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_11_797,refute_11_766]) ).
cnf(refute_11_799,plain,
( h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_86,refute_11_798]) ).
cnf(refute_11_800,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_801,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_11_799,refute_11_800]) ).
cnf(refute_11_802,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_11_759,refute_11_801]) ).
cnf(refute_11_803,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_804,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_300,refute_11_803]) ).
cnf(refute_11_805,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_11_802,refute_11_804]) ).
cnf(refute_11_806,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_11_155]) ).
cnf(refute_11_807,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_11_156]) ).
cnf(refute_11_808,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_11_809,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_240,refute_11_808]) ).
cnf(refute_11_810,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_11_809,refute_11_807]) ).
cnf(refute_11_811,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_11_806,refute_11_810]) ).
cnf(refute_11_812,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_11_157]) ).
cnf(refute_11_813,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_11_814,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_11_444,refute_11_813]) ).
cnf(refute_11_815,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_11_814,refute_11_812]) ).
cnf(refute_11_816,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_11_811,refute_11_815]) ).
cnf(refute_11_817,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_818,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_11_816,refute_11_817]) ).
cnf(refute_11_819,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_11_759,refute_11_818]) ).
cnf(refute_11_820,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_11_821,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_211,refute_11_820]) ).
cnf(refute_11_822,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_11_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_11_823,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_11_759,refute_11_822]) ).
cnf(refute_11_824,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_11_825,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_11_823,refute_11_824]) ).
cnf(refute_11_826,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_11_821,refute_11_825]) ).
cnf(refute_11_827,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_11_819,refute_11_826]) ).
cnf(refute_11_828,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_11_829,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_11_805,refute_11_828]) ).
cnf(refute_11_830,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_11_827,refute_11_829]) ).
cnf(refute_11_831,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_11_830,refute_11_464]) ).
cnf(refute_11_832,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_11_833,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_11_831,refute_11_832]) ).
cnf(refute_11_834,plain,
( h4(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_11_805,refute_11_833]) ).
cnf(refute_11_835,plain,
( h2(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_834,refute_11_470]) ).
cnf(refute_11_836,plain,
( h1(e13) != op2(h2(e13),e20)
| h2(e13) != e21
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_837,plain,
( h1(e13) != op2(h2(e13),e20)
| h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_11_835,refute_11_836]) ).
cnf(refute_11_838,plain,
( h1(e13) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) )],[refute_11_751,refute_11_837]) ).
cnf(refute_11_839,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_11_158]) ).
cnf(refute_11_840,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_11_841,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_65,refute_11_840]) ).
cnf(refute_11_842,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_11_841,refute_11_839]) ).
cnf(refute_11_843,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_11_838,refute_11_842]) ).
cnf(refute_11_844,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_11_843,refute_11_327]) ).
cnf(refute_11_845,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_11_846,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_11_844,refute_11_845]) ).
cnf(refute_11_847,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_11_159]) ).
cnf(refute_11_848,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_11_152,refute_11_847]) ).
cnf(refute_11_849,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_11_176,refute_11_848]) ).
cnf(refute_11_850,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_11_326,refute_11_849]) ).
cnf(refute_11_851,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_11_852,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_11_684,refute_11_851]) ).
cnf(refute_11_853,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_11_852,refute_11_850]) ).
cnf(refute_11_854,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_11_843,refute_11_853]) ).
cnf(refute_11_855,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_11_854,refute_11_774]) ).
cnf(refute_11_856,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_11_855,refute_11_846]) ).
cnf(refute_11_857,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_11_856,refute_11_0]) ).
cnf(refute_11_858,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_150,refute_11_857]) ).
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) != 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_12_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_12_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_12_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_12_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_12_4,normalize_12_5]) ).
fof(normalize_12_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_12_3,normalize_12_6,normalize_12_5]) ).
fof(normalize_12_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_12_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_12_7,normalize_12_8]) ).
fof(normalize_12_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_2,normalize_12_9,normalize_12_6,normalize_12_5,normalize_12_8]) ).
fof(normalize_12_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_12_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_12_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_12_11,normalize_12_12]) ).
fof(normalize_12_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_10,normalize_12_13,normalize_12_12]) ).
fof(normalize_12_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_12_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_14,normalize_12_15]) ).
fof(normalize_12_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_12_16]) ).
fof(normalize_12_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_9]) ).
fof(normalize_12_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_12_19]) ).
fof(normalize_12_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_12_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_8]) ).
fof(normalize_12_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_12_23]) ).
fof(normalize_12_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_12_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_12_25]) ).
fof(normalize_12_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_12_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_12_25]) ).
fof(normalize_12_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_31,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_6]) ).
fof(normalize_12_32,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_33,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_12_34,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_35,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_5]) ).
fof(normalize_12_36,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_37,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_12_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_12_37]) ).
fof(normalize_12_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_40,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_41,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_42,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_43,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_13]) ).
fof(normalize_12_44,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_12_43]) ).
fof(normalize_12_45,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_12]) ).
fof(normalize_12_46,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_12_45]) ).
fof(normalize_12_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_48,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_12_25]) ).
fof(normalize_12_49,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_50,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_51,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_12_37]) ).
fof(normalize_12_52,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_53,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_12_54,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_12_53]) ).
fof(normalize_12_55,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_50,normalize_12_51,normalize_12_52,normalize_12_54]) ).
fof(normalize_12_56,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_57,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_15]) ).
fof(normalize_12_58,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_12_57]) ).
fof(normalize_12_59,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_12_60,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_61,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_62,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_63,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_64,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_65,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_66,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_67,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_12_68,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_12_67]) ).
fof(normalize_12_69,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_70,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_71,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_12_72,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_12_71]) ).
fof(normalize_12_73,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_74,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_12_71]) ).
fof(normalize_12_75,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_76,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_77,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_12_76]) ).
fof(normalize_12_78,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_79,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_80,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_81,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_82,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_12_57]) ).
fof(normalize_12_83,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_12_76]) ).
fof(normalize_12_84,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_85,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_86,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_87,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_12_86]) ).
fof(normalize_12_88,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_89,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_12_71]) ).
fof(normalize_12_90,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_12_91,plain,
e11 != e13,
inference(conjunct,[],[normalize_12_90]) ).
fof(normalize_12_92,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_93,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_12_86]) ).
fof(normalize_12_94,plain,
e10 != e12,
inference(conjunct,[],[normalize_12_90]) ).
fof(normalize_12_95,plain,
e11 != e12,
inference(conjunct,[],[normalize_12_90]) ).
fof(normalize_12_96,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_12_86]) ).
fof(normalize_12_97,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_98,plain,
e12 != e13,
inference(conjunct,[],[normalize_12_90]) ).
fof(normalize_12_99,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_100,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_12_101,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_12_102,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_12_103,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_12_101,normalize_12_102]) ).
fof(normalize_12_104,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_100,normalize_12_103,normalize_12_102]) ).
fof(normalize_12_105,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_12_106,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_104,normalize_12_105]) ).
fof(normalize_12_107,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_12_106]) ).
fof(normalize_12_108,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_12_107]) ).
fof(normalize_12_109,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_110,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_12_111,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_12_110]) ).
fof(normalize_12_112,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_12_111,normalize_12_16,normalize_12_13,normalize_12_9,normalize_12_6,normalize_12_5,normalize_12_8,normalize_12_15,normalize_12_12]) ).
fof(normalize_12_113,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_12_112,normalize_12_106,normalize_12_103,normalize_12_105,normalize_12_102]) ).
fof(normalize_12_114,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_12_115,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_12_116,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_12_114,normalize_12_115]) ).
fof(normalize_12_117,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_12_113,normalize_12_116,normalize_12_115]) ).
fof(normalize_12_118,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_12_119,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_12_117,normalize_12_118]) ).
fof(normalize_12_120,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_12_119]) ).
fof(normalize_12_121,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_12_120]) ).
fof(normalize_12_122,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_12_116]) ).
fof(normalize_12_123,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_12_122]) ).
fof(normalize_12_124,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_115]) ).
fof(normalize_12_125,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_12_124]) ).
fof(normalize_12_126,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_12_124]) ).
fof(normalize_12_127,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_12_118]) ).
fof(normalize_12_128,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_12_127]) ).
fof(normalize_12_129,plain,
e20 != e22,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_130,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_131,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_132,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_133,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_12_120]) ).
fof(normalize_12_134,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_135,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_12_67]) ).
fof(normalize_12_136,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_137,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_12_69]) ).
fof(normalize_12_138,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_105]) ).
fof(normalize_12_139,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_12_138]) ).
fof(normalize_12_140,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_12_138]) ).
fof(normalize_12_141,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_142,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_143,plain,
e21 != e22,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_144,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_145,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_12_76]) ).
fof(normalize_12_146,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_147,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_12_76]) ).
fof(normalize_12_148,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_149,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_103]) ).
fof(normalize_12_150,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_12_149]) ).
fof(normalize_12_151,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_152,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_153,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_154,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_12_102]) ).
fof(normalize_12_155,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_12_154]) ).
fof(normalize_12_156,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_157,plain,
e20 != e21,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_158,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_12_154]) ).
fof(normalize_12_159,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_160,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_161,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_162,plain,
( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_12_154]) ).
fof(normalize_12_163,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_164,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_165,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_12_154]) ).
fof(normalize_12_166,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_167,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_168,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_169,plain,
e20 != e23,
inference(conjunct,[],[normalize_12_27]) ).
fof(normalize_12_170,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_12_55]) ).
fof(normalize_12_171,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_12_110]) ).
fof(normalize_12_172,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_12_17]) ).
cnf(refute_12_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_1]) ).
cnf(refute_12_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_12_20]) ).
cnf(refute_12_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_12_22]) ).
cnf(refute_12_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_4,refute_12_5]) ).
cnf(refute_12_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_12_3,refute_12_7]) ).
cnf(refute_12_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_12_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_9]) ).
cnf(refute_12_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_2,refute_12_10]) ).
cnf(refute_12_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_12_24]) ).
cnf(refute_12_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_12_26]) ).
cnf(refute_12_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_12_13,refute_12_14]) ).
cnf(refute_12_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_12_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_12_12,refute_12_17]) ).
cnf(refute_12_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_12_28]) ).
cnf(refute_12_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_12_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_20,refute_12_19]) ).
cnf(refute_12_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_12_18,refute_12_21]) ).
cnf(refute_12_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_12_22,refute_12_11]) ).
cnf(refute_12_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_12_29]) ).
cnf(refute_12_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_12_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_25,refute_12_26]) ).
cnf(refute_12_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_27]) ).
cnf(refute_12_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_12_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_29,refute_12_30]) ).
cnf(refute_12_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_31]) ).
cnf(refute_12_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_6,refute_12_33]) ).
cnf(refute_12_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_32,refute_12_35]) ).
cnf(refute_12_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_12_28,refute_12_36]) ).
cnf(refute_12_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_12_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_12_37,refute_12_38]) ).
cnf(refute_12_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_39]) ).
cnf(refute_12_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_12_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_12_40,refute_12_41]) ).
cnf(refute_12_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_24,refute_12_42]) ).
cnf(refute_12_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_12_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_12_43,refute_12_44]) ).
cnf(refute_12_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_12_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_46]) ).
cnf(refute_12_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_23,refute_12_47]) ).
cnf(refute_12_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_12_30]) ).
cnf(refute_12_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_48,refute_12_49]) ).
cnf(refute_12_51,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_12_32]) ).
cnf(refute_12_52,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_12_34]) ).
cnf(refute_12_53,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_54,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_12_52,refute_12_53]) ).
cnf(refute_12_55,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_12_56,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_57,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_12_55,refute_12_56]) ).
cnf(refute_12_58,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_57]) ).
cnf(refute_12_59,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_12_60,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_12_58,refute_12_59]) ).
cnf(refute_12_61,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_12_60,refute_12_51]) ).
cnf(refute_12_62,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_12_36]) ).
cnf(refute_12_63,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_12_38]) ).
cnf(refute_12_64,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_65,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_12_63,refute_12_64]) ).
cnf(refute_12_66,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_12_67,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_12_68,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_12_66,refute_12_67]) ).
cnf(refute_12_69,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_68]) ).
cnf(refute_12_70,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_12_71,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_12_69,refute_12_70]) ).
cnf(refute_12_72,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_12_71,refute_12_62]) ).
cnf(refute_12_73,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_74,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_12_75,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_74]) ).
cnf(refute_12_76,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_12_73,refute_12_75]) ).
cnf(refute_12_77,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_12_78,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_12_76,refute_12_77]) ).
cnf(refute_12_79,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_12_78,refute_12_72]) ).
cnf(refute_12_80,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_12_81,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_80]) ).
cnf(refute_12_82,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_12_81,refute_12_79]) ).
cnf(refute_12_83,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_12_84,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_12_76,refute_12_83]) ).
cnf(refute_12_85,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_12_84,refute_12_82]) ).
cnf(refute_12_86,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_12_87,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_86,refute_12_85]) ).
cnf(refute_12_88,plain,
( op2(e21,h2(e13)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_12_87,refute_12_61]) ).
cnf(refute_12_89,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_12_40]) ).
cnf(refute_12_90,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_12_91,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_92,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_90,refute_12_91]) ).
cnf(refute_12_93,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_92]) ).
cnf(refute_12_94,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_12_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_96,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_94,refute_12_95]) ).
cnf(refute_12_97,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_96]) ).
cnf(refute_12_98,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_12_99,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_97,refute_12_98]) ).
cnf(refute_12_100,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_93,refute_12_99]) ).
cnf(refute_12_101,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_12_102,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_100,refute_12_101]) ).
cnf(refute_12_103,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_89,refute_12_102]) ).
cnf(refute_12_104,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_12_41]) ).
cnf(refute_12_105,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_106,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_105]) ).
cnf(refute_12_107,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_12_104,refute_12_106]) ).
cnf(refute_12_108,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_12_87,refute_12_107]) ).
cnf(refute_12_109,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_110,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_108,refute_12_109]) ).
cnf(refute_12_111,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_12_103,refute_12_110]) ).
cnf(refute_12_112,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_113,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_108,refute_12_112]) ).
cnf(refute_12_114,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_12_103,refute_12_113]) ).
cnf(refute_12_115,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_116,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_12_117,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_118,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_12_116,refute_12_117]) ).
cnf(refute_12_119,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_118]) ).
cnf(refute_12_120,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_12_121,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_12_119,refute_12_120]) ).
cnf(refute_12_122,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_12_115,refute_12_121]) ).
cnf(refute_12_123,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_12_124,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_12_122,refute_12_123]) ).
cnf(refute_12_125,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_12_126,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_12_124,refute_12_125]) ).
cnf(refute_12_127,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_12_114,refute_12_126]) ).
cnf(refute_12_128,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_129,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_108,refute_12_128]) ).
cnf(refute_12_130,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_12_122,refute_12_129]) ).
cnf(refute_12_131,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_12_132,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_131]) ).
cnf(refute_12_133,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_12_130,refute_12_132]) ).
cnf(refute_12_134,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_12_135,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_12_133,refute_12_134]) ).
cnf(refute_12_136,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_12_137,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_12_135,refute_12_136]) ).
cnf(refute_12_138,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_108,refute_12_137]) ).
cnf(refute_12_139,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_12_140,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_12_138,refute_12_139]) ).
cnf(refute_12_141,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_12_127,refute_12_140]) ).
cnf(refute_12_142,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_12_143,plain,
( h2(e11) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_12_141,refute_12_142]) ).
cnf(refute_12_144,plain,
( e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_12_111,refute_12_143]) ).
cnf(refute_12_145,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_12_146,plain,
( op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_12_144,refute_12_145]) ).
cnf(refute_12_147,plain,
( e21 != e21
| op2(e21,h2(e13)) != e21
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_148,plain,
( e21 != e21
| op2(e21,h2(e13)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_12_146,refute_12_147]) ).
cnf(refute_12_149,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_12_148,refute_12_88]) ).
cnf(refute_12_150,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_12_151,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_149]) ).
cnf(refute_12_152,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_12_151,refute_12_50]) ).
cnf(refute_12_153,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_12_152,refute_12_1]) ).
cnf(refute_12_154,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_12_44]) ).
cnf(refute_12_155,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_156,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_47]) ).
cnf(refute_12_157,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_12_48]) ).
cnf(refute_12_158,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_12_159,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_160,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_12_158,refute_12_159]) ).
cnf(refute_12_161,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_160]) ).
cnf(refute_12_162,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_12_163,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_12_161,refute_12_162]) ).
cnf(refute_12_164,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_12_157,refute_12_163]) ).
cnf(refute_12_165,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_12_166,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_12_164,refute_12_165]) ).
cnf(refute_12_167,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_168,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_167]) ).
cnf(refute_12_169,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_12_168,refute_12_156]) ).
cnf(refute_12_170,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_155,refute_12_169]) ).
cnf(refute_12_171,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_12_170,refute_12_154]) ).
cnf(refute_12_172,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_49]) ).
cnf(refute_12_173,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_174,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_173]) ).
cnf(refute_12_175,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_12_174,refute_12_172]) ).
cnf(refute_12_176,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_12_171,refute_12_175]) ).
cnf(refute_12_177,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_12_176,refute_12_153]) ).
cnf(refute_12_178,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_12_56]) ).
cnf(refute_12_179,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_12_180,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_181,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_12_179,refute_12_180]) ).
cnf(refute_12_182,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_181]) ).
cnf(refute_12_183,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_12_184,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_12_182,refute_12_183]) ).
cnf(refute_12_185,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_12_178,refute_12_184]) ).
cnf(refute_12_186,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_12_58]) ).
cnf(refute_12_187,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_12_60]) ).
cnf(refute_12_188,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_187,refute_12_10]) ).
cnf(refute_12_189,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_61]) ).
cnf(refute_12_190,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_12_191,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_190]) ).
cnf(refute_12_192,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_12_191,refute_12_189]) ).
cnf(refute_12_193,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_12_194,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_12_193,refute_12_192]) ).
cnf(refute_12_195,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_188,refute_12_194]) ).
cnf(refute_12_196,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_195,refute_12_47]) ).
cnf(refute_12_197,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_12_62]) ).
cnf(refute_12_198,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_12_199,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_198]) ).
cnf(refute_12_200,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_199]) ).
cnf(refute_12_201,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_12_202,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_203,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_12_201,refute_12_202]) ).
cnf(refute_12_204,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_200,refute_12_203]) ).
cnf(refute_12_205,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_12_206,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_12_204,refute_12_205]) ).
cnf(refute_12_207,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_12_197,refute_12_206]) ).
cnf(refute_12_208,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_12_209,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_12_207,refute_12_208]) ).
cnf(refute_12_210,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_12_211,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_210]) ).
cnf(refute_12_212,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_12_196,refute_12_211]) ).
cnf(refute_12_213,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_212,refute_12_49]) ).
cnf(refute_12_214,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_12_215,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_213,refute_12_214]) ).
cnf(refute_12_216,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_12_215,refute_12_186]) ).
cnf(refute_12_217,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_218,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_216,refute_12_217]) ).
cnf(refute_12_219,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_12_185,refute_12_218]) ).
cnf(refute_12_220,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_12_63]) ).
cnf(refute_12_221,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_12_64]) ).
cnf(refute_12_222,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_12_223,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_224,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_222,refute_12_223]) ).
cnf(refute_12_225,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_200,refute_12_224]) ).
cnf(refute_12_226,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_12_227,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_228,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_226,refute_12_227]) ).
cnf(refute_12_229,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_200,refute_12_228]) ).
cnf(refute_12_230,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_231,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_229,refute_12_230]) ).
cnf(refute_12_232,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_12_225,refute_12_231]) ).
cnf(refute_12_233,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_12_234,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_12_232,refute_12_233]) ).
cnf(refute_12_235,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_234]) ).
cnf(refute_12_236,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_12_237,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_12_235,refute_12_236]) ).
cnf(refute_12_238,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_221,refute_12_237]) ).
cnf(refute_12_239,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_12_240,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_241,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_12_239,refute_12_240]) ).
cnf(refute_12_242,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_238,refute_12_241]) ).
cnf(refute_12_243,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_12_244,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_12_242,refute_12_243]) ).
cnf(refute_12_245,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_12_220,refute_12_244]) ).
cnf(refute_12_246,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_12_65]) ).
cnf(refute_12_247,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_12_66]) ).
cnf(refute_12_248,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_12_249,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_250,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_12_248,refute_12_249]) ).
cnf(refute_12_251,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_250]) ).
cnf(refute_12_252,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_12_253,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_12_251,refute_12_252]) ).
cnf(refute_12_254,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_12_246,refute_12_253]) ).
cnf(refute_12_255,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_256,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_216,refute_12_255]) ).
cnf(refute_12_257,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_12_254,refute_12_256]) ).
cnf(refute_12_258,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_12_259,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_200,refute_12_258]) ).
cnf(refute_12_260,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_12_257,refute_12_259]) ).
cnf(refute_12_261,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_12_68]) ).
cnf(refute_12_262,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_12_70]) ).
cnf(refute_12_263,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_12_72]) ).
cnf(refute_12_264,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_12_265,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_12_263,refute_12_264]) ).
cnf(refute_12_266,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_12_267,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_266]) ).
cnf(refute_12_268,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_12_267,refute_12_262]) ).
cnf(refute_12_269,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_12_261,refute_12_268]) ).
cnf(refute_12_270,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_12_73]) ).
cnf(refute_12_271,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_12_74]) ).
cnf(refute_12_272,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_12_273,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_274,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_12_272,refute_12_273]) ).
cnf(refute_12_275,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_274]) ).
cnf(refute_12_276,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_12_277,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_12_275,refute_12_276]) ).
cnf(refute_12_278,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_12_271,refute_12_277]) ).
cnf(refute_12_279,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_12_280,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_12_278,refute_12_279]) ).
cnf(refute_12_281,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_12_282,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_12_280,refute_12_281]) ).
cnf(refute_12_283,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_12_282,refute_12_270]) ).
cnf(refute_12_284,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_12_269,refute_12_283]) ).
cnf(refute_12_285,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_286,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_12_284,refute_12_285]) ).
cnf(refute_12_287,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_12_254,refute_12_286]) ).
cnf(refute_12_288,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_12_289,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_288]) ).
cnf(refute_12_290,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_12_291,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_12_254,refute_12_290]) ).
cnf(refute_12_292,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_12_293,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_12_291,refute_12_292]) ).
cnf(refute_12_294,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_12_289,refute_12_293]) ).
cnf(refute_12_295,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_12_287,refute_12_294]) ).
cnf(refute_12_296,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_12_297,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_12_260,refute_12_296]) ).
cnf(refute_12_298,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_12_295,refute_12_297]) ).
cnf(refute_12_299,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_12_300,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_299,refute_12_49]) ).
cnf(refute_12_301,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_298,refute_12_300]) ).
cnf(refute_12_302,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_12_303,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_12_301,refute_12_302]) ).
cnf(refute_12_304,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_12_260,refute_12_303]) ).
cnf(refute_12_305,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_306,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_238,refute_12_305]) ).
cnf(refute_12_307,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_304,refute_12_306]) ).
cnf(refute_12_308,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_309,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_307,refute_12_308]) ).
cnf(refute_12_310,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_12_245,refute_12_309]) ).
cnf(refute_12_311,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_12_312,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_12_185,refute_12_311]) ).
cnf(refute_12_313,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_12_314,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_12_312,refute_12_313]) ).
cnf(refute_12_315,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_12_310,refute_12_314]) ).
cnf(refute_12_316,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| h4(op1(e10,e13)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(op1(e10,e13))))]]) ).
cnf(refute_12_317,plain,
( h4(op1(e10,e13)) = h4(op1(e10,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) )],[refute_12_315,refute_12_316]) ).
cnf(refute_12_318,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e11))
| h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[0],$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_12_319,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e11))) )],[refute_12_317,refute_12_318]) ).
cnf(refute_12_320,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_12_219,refute_12_319]) ).
cnf(refute_12_321,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_75]) ).
cnf(refute_12_322,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_12_77]) ).
cnf(refute_12_323,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_78]) ).
cnf(refute_12_324,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_325,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_324]) ).
cnf(refute_12_326,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_12_325,refute_12_323]) ).
cnf(refute_12_327,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_322,refute_12_326]) ).
cnf(refute_12_328,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_79]) ).
cnf(refute_12_329,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_330,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_329]) ).
cnf(refute_12_331,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_12_330,refute_12_328]) ).
cnf(refute_12_332,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_12_333,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_332]) ).
cnf(refute_12_334,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_12_333,refute_12_331]) ).
cnf(refute_12_335,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_327,refute_12_334]) ).
cnf(refute_12_336,plain,
( op2(e22,e21) != e22
| op2(e23,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_12_337,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_12_335,refute_12_336]) ).
cnf(refute_12_338,plain,
( op2(e22,e21) != e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_12_337,refute_12_321]) ).
cnf(refute_12_339,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_12_80]) ).
cnf(refute_12_340,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_341,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_340]) ).
cnf(refute_12_342,plain,
h2(e13) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_12_341,refute_12_339]) ).
cnf(refute_12_343,plain,
( e21 != op2(e22,e21)
| h2(e13) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_344,plain,
( e21 != op2(e22,e21)
| h2(e13) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_307,refute_12_343]) ).
cnf(refute_12_345,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_12_344,refute_12_342]) ).
cnf(refute_12_346,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_12_81]) ).
cnf(refute_12_347,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_12_82]) ).
cnf(refute_12_348,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_349,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_347,refute_12_348]) ).
cnf(refute_12_350,plain,
( e20 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_12_349,refute_12_346]) ).
cnf(refute_12_351,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_12_83]) ).
cnf(refute_12_352,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_84]) ).
cnf(refute_12_353,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_354,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_353]) ).
cnf(refute_12_355,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_12_354,refute_12_352]) ).
cnf(refute_12_356,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_12_351,refute_12_355]) ).
cnf(refute_12_357,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_12_358,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_12_356,refute_12_357]) ).
cnf(refute_12_359,plain,
( e20 != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_12_358,refute_12_350]) ).
cnf(refute_12_360,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_86,refute_12_359]) ).
cnf(refute_12_361,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_12_362,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_360,refute_12_361]) ).
cnf(refute_12_363,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_12_362,refute_12_345]) ).
cnf(refute_12_364,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_363]) ).
cnf(refute_12_365,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_12_366,plain,
( e22 != e22
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_364,refute_12_365]) ).
cnf(refute_12_367,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_366,refute_12_338]) ).
cnf(refute_12_368,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_12_369,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_368,refute_12_367]) ).
cnf(refute_12_370,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op2(e23,e21) != e23
| h4(op1(e10,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_12_371,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_369,refute_12_370]) ).
cnf(refute_12_372,plain,
( h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_12_219,refute_12_371]) ).
cnf(refute_12_373,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_12_85]) ).
cnf(refute_12_374,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_12_87]) ).
cnf(refute_12_375,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_12_88]) ).
cnf(refute_12_376,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_12_377,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_376]) ).
cnf(refute_12_378,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_12_377,refute_12_375]) ).
cnf(refute_12_379,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_12_380,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_12_379,refute_12_378]) ).
cnf(refute_12_381,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_12_374,refute_12_380]) ).
cnf(refute_12_382,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_12_89]) ).
cnf(refute_12_383,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_12_384,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_12_385,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_383,refute_12_384]) ).
cnf(refute_12_386,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_385]) ).
cnf(refute_12_387,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_12_388,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_389,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_387,refute_12_388]) ).
cnf(refute_12_390,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_389]) ).
cnf(refute_12_391,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_392,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_390,refute_12_391]) ).
cnf(refute_12_393,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_12_386,refute_12_392]) ).
cnf(refute_12_394,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_12_395,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_12_393,refute_12_394]) ).
cnf(refute_12_396,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_382,refute_12_395]) ).
cnf(refute_12_397,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_398,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_12_396,refute_12_397]) ).
cnf(refute_12_399,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_12_400,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_398,refute_12_399]) ).
cnf(refute_12_401,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_12_381,refute_12_400]) ).
cnf(refute_12_402,plain,
e11 != e13,
inference(canonicalize,[],[normalize_12_91]) ).
cnf(refute_12_403,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_12_401,refute_12_402]) ).
cnf(refute_12_404,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_12_405,plain,
( op1(e11,e11) != e13
| op1(e10,e13) = e13
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_12_403,refute_12_404]) ).
cnf(refute_12_406,plain,
( op1(e11,e11) != e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_12_405,refute_12_373]) ).
cnf(refute_12_407,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_12_92]) ).
cnf(refute_12_408,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_409,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_410,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_408,refute_12_409]) ).
cnf(refute_12_411,plain,
op2(h4(e13),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_410]) ).
cnf(refute_12_412,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op2(h4(e13),h4(e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) ),[1],$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_12_413,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e21,h4(e10))) )],[refute_12_411,refute_12_412]) ).
cnf(refute_12_414,plain,
h4(op1(e13,e10)) != op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_413,refute_12_407]) ).
cnf(refute_12_415,plain,
( h4(e10) != e23
| h4(op1(e13,e10)) != op2(e21,e23)
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_416,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| h4(op1(e13,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_216,refute_12_415]) ).
cnf(refute_12_417,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_12_416,refute_12_414]) ).
cnf(refute_12_418,plain,
( h4(op1(e13,e10)) != h4(e10)
| op2(e21,e23) != h4(e10)
| h4(op1(e13,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_12_419,plain,
( h4(op1(e13,e10)) != h4(e10)
| h4(op1(e13,e10)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_418]) ).
cnf(refute_12_420,plain,
( h4(op1(e13,e10)) != h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e23)) )],[refute_12_419,refute_12_417]) ).
cnf(refute_12_421,plain,
( h4(e10) != e23
| h4(op1(e13,e10)) != e23
| h4(op1(e13,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_12_422,plain,
( h4(op1(e13,e10)) != e23
| h4(op1(e13,e10)) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_216,refute_12_421]) ).
cnf(refute_12_423,plain,
( h4(op1(e13,e10)) != e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e10)) )],[refute_12_422,refute_12_420]) ).
cnf(refute_12_424,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_12_93]) ).
cnf(refute_12_425,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_12_426,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_12_280,refute_12_425]) ).
cnf(refute_12_427,plain,
( e10 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_12_424,refute_12_426]) ).
cnf(refute_12_428,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_12_429,plain,
( op1(e13,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_398,refute_12_428]) ).
cnf(refute_12_430,plain,
( e10 = e12
| e11 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_12_427,refute_12_429]) ).
cnf(refute_12_431,plain,
e10 != e12,
inference(canonicalize,[],[normalize_12_94]) ).
cnf(refute_12_432,plain,
( e11 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_12_430,refute_12_431]) ).
cnf(refute_12_433,plain,
e11 != e12,
inference(canonicalize,[],[normalize_12_95]) ).
cnf(refute_12_434,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_12_432,refute_12_433]) ).
cnf(refute_12_435,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_12_96]) ).
cnf(refute_12_436,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_12_97]) ).
cnf(refute_12_437,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_12_438,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_437]) ).
cnf(refute_12_439,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_12_438,refute_12_436]) ).
cnf(refute_12_440,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_12_435,refute_12_439]) ).
cnf(refute_12_441,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_12_442,plain,
( op1(e13,e11) != e12
| e13 = e12
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_12_440,refute_12_441]) ).
cnf(refute_12_443,plain,
( e13 = e12
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_12_434,refute_12_442]) ).
cnf(refute_12_444,plain,
e12 != e13,
inference(canonicalize,[],[normalize_12_98]) ).
cnf(refute_12_445,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_12_446,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_12_445,refute_12_444]) ).
cnf(refute_12_447,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_12_443,refute_12_446]) ).
cnf(refute_12_448,plain,
( h4(e12) != e23
| op1(e13,e10) != e12
| h4(op1(e13,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_449,plain,
( h4(e12) != e23
| h4(op1(e13,e10)) = e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_12_447,refute_12_448]) ).
cnf(refute_12_450,plain,
( h4(e12) != e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e23) )],[refute_12_449,refute_12_423]) ).
cnf(refute_12_451,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_452,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_451]) ).
cnf(refute_12_453,plain,
( e23 != e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_452,refute_12_450]) ).
cnf(refute_12_454,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_12_455,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_453]) ).
cnf(refute_12_456,plain,
( e13 != e13
| op1(e11,e11) != e13
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_12_457,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_12_455,refute_12_456]) ).
cnf(refute_12_458,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_12_457,refute_12_406]) ).
cnf(refute_12_459,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_12_460,plain,
( op1(e10,e11) = e13
| op1(e10,e13) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_12_459,refute_12_458]) ).
cnf(refute_12_461,plain,
( h4(op1(e10,e13)) != e23
| op1(e10,e13) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_12_462,plain,
( h4(op1(e10,e13)) != e23
| h4(e13) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_12_460,refute_12_461]) ).
cnf(refute_12_463,plain,
( h4(e13) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_12_372,refute_12_462]) ).
cnf(refute_12_464,plain,
( e21 = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_463,refute_12_47]) ).
cnf(refute_12_465,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_464,refute_12_49]) ).
cnf(refute_12_466,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_12_467,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_12_465,refute_12_466]) ).
cnf(refute_12_468,plain,
( h4(e13) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_12_320,refute_12_467]) ).
cnf(refute_12_469,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_12_470,plain,
( h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_469]) ).
cnf(refute_12_471,plain,
( e21 = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_12_468,refute_12_470]) ).
cnf(refute_12_472,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_12_473,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_472,refute_12_334]) ).
cnf(refute_12_474,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_12_471,refute_12_473]) ).
cnf(refute_12_475,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_12_474,refute_12_177]) ).
cnf(refute_12_476,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_12_99]) ).
cnf(refute_12_477,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_12_478,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_477]) ).
cnf(refute_12_479,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_12_478,refute_12_476]) ).
cnf(refute_12_480,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_12_108]) ).
cnf(refute_12_481,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_12_109]) ).
cnf(refute_12_482,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_12_483,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_482]) ).
cnf(refute_12_484,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_12_483,refute_12_481]) ).
cnf(refute_12_485,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_12_121]) ).
cnf(refute_12_486,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_12_123]) ).
cnf(refute_12_487,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_486,refute_12_194]) ).
cnf(refute_12_488,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_12_125]) ).
cnf(refute_12_489,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_490,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_12_491,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_12_489,refute_12_490]) ).
cnf(refute_12_492,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_491]) ).
cnf(refute_12_493,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_12_494,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_12_492,refute_12_493]) ).
cnf(refute_12_495,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_12_494,refute_12_488]) ).
cnf(refute_12_496,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_12_497,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_498,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_12_496,refute_12_497]) ).
cnf(refute_12_499,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_498]) ).
cnf(refute_12_500,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_12_501,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_12_499,refute_12_500]) ).
cnf(refute_12_502,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_12_501,refute_12_495]) ).
cnf(refute_12_503,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_12_126]) ).
cnf(refute_12_504,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_12_505,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_503,refute_12_504]) ).
cnf(refute_12_506,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_505,refute_12_502]) ).
cnf(refute_12_507,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_506]) ).
cnf(refute_12_508,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_12_507,refute_12_487]) ).
cnf(refute_12_509,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_12_485,refute_12_508]) ).
cnf(refute_12_510,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_12_128]) ).
cnf(refute_12_511,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_12_512,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_511]) ).
cnf(refute_12_513,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_12_510,refute_12_512]) ).
cnf(refute_12_514,plain,
e20 != e22,
inference(canonicalize,[],[normalize_12_129]) ).
cnf(refute_12_515,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_513,refute_12_514]) ).
cnf(refute_12_516,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_12_509,refute_12_515]) ).
cnf(refute_12_517,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_12_518,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_516,refute_12_517]) ).
cnf(refute_12_519,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_12_518,refute_12_484]) ).
cnf(refute_12_520,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_12_130]) ).
cnf(refute_12_521,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_12_131]) ).
cnf(refute_12_522,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_523,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_522]) ).
cnf(refute_12_524,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_12_521,refute_12_523]) ).
cnf(refute_12_525,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_132]) ).
cnf(refute_12_526,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_527,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_526]) ).
cnf(refute_12_528,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_12_527,refute_12_525]) ).
cnf(refute_12_529,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_12_524,refute_12_528]) ).
cnf(refute_12_530,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_12_529,refute_12_211]) ).
cnf(refute_12_531,plain,
( e23 != op2(e23,e20)
| op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_532,plain,
( e23 != op2(e23,e20)
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_12_530,refute_12_531]) ).
cnf(refute_12_533,plain,
( e23 != op2(e23,e20)
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_12_532,refute_12_520]) ).
cnf(refute_12_534,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_12_133]) ).
cnf(refute_12_535,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_12_534,refute_12_508]) ).
cnf(refute_12_536,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_12_535,refute_12_515]) ).
cnf(refute_12_537,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_12_538,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_536,refute_12_537]) ).
cnf(refute_12_539,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_12_538,refute_12_533]) ).
cnf(refute_12_540,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_539]) ).
cnf(refute_12_541,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_12_542,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_540,refute_12_541]) ).
cnf(refute_12_543,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_12_542,refute_12_519]) ).
cnf(refute_12_544,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_543]) ).
cnf(refute_12_545,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_12_134]) ).
cnf(refute_12_546,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_12_547,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_548,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_12_546,refute_12_547]) ).
cnf(refute_12_549,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_548]) ).
cnf(refute_12_550,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_12_551,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_552,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_12_550,refute_12_551]) ).
cnf(refute_12_553,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_238,refute_12_552]) ).
cnf(refute_12_554,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_12_555,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_12_553,refute_12_554]) ).
cnf(refute_12_556,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_12_549,refute_12_555]) ).
cnf(refute_12_557,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_12_558,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_12_556,refute_12_557]) ).
cnf(refute_12_559,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_12_545,refute_12_558]) ).
cnf(refute_12_560,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_561,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_12_544,refute_12_560]) ).
cnf(refute_12_562,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_12_559,refute_12_561]) ).
cnf(refute_12_563,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_12_564,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_200,refute_12_563]) ).
cnf(refute_12_565,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_12_562,refute_12_564]) ).
cnf(refute_12_566,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_12_135]) ).
cnf(refute_12_567,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_12_136]) ).
cnf(refute_12_568,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_12_569,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_265,refute_12_568]) ).
cnf(refute_12_570,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_12_569,refute_12_567]) ).
cnf(refute_12_571,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_12_566,refute_12_570]) ).
cnf(refute_12_572,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_12_137]) ).
cnf(refute_12_573,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_12_574,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_12_280,refute_12_573]) ).
cnf(refute_12_575,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_12_574,refute_12_572]) ).
cnf(refute_12_576,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_12_571,refute_12_575]) ).
cnf(refute_12_577,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_578,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_12_576,refute_12_577]) ).
cnf(refute_12_579,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_12_559,refute_12_578]) ).
cnf(refute_12_580,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_12_581,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_580]) ).
cnf(refute_12_582,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_12_583,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_12_559,refute_12_582]) ).
cnf(refute_12_584,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_12_585,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_12_583,refute_12_584]) ).
cnf(refute_12_586,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_12_581,refute_12_585]) ).
cnf(refute_12_587,plain,
( e23 = h4(op1(e11,e12))
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_12_579,refute_12_586]) ).
cnf(refute_12_588,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_12_589,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_12_565,refute_12_588]) ).
cnf(refute_12_590,plain,
( e23 = e21
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_12_587,refute_12_589]) ).
cnf(refute_12_591,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_590,refute_12_300]) ).
cnf(refute_12_592,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_12_593,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_12_591,refute_12_592]) ).
cnf(refute_12_594,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_12_565,refute_12_593]) ).
cnf(refute_12_595,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_594,refute_12_306]) ).
cnf(refute_12_596,plain,
( h2(e13) != e21
| h2(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_12_597,plain,
( h2(e13) != e23
| e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_595,refute_12_596]) ).
cnf(refute_12_598,plain,
( e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_12_544,refute_12_597]) ).
cnf(refute_12_599,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_598,refute_12_49]) ).
cnf(refute_12_600,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_12_599,refute_12_480]) ).
cnf(refute_12_601,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_12_139]) ).
cnf(refute_12_602,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_12_140]) ).
cnf(refute_12_603,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_12_141]) ).
cnf(refute_12_604,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_12_605,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_604]) ).
cnf(refute_12_606,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_12_603,refute_12_605]) ).
cnf(refute_12_607,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_606,refute_12_300]) ).
cnf(refute_12_608,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_142]) ).
cnf(refute_12_609,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_610,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_609]) ).
cnf(refute_12_611,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_12_610,refute_12_608]) ).
cnf(refute_12_612,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_12_613,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_612]) ).
cnf(refute_12_614,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_12_613,refute_12_611]) ).
cnf(refute_12_615,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_12_607,refute_12_614]) ).
cnf(refute_12_616,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_617,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_615,refute_12_616]) ).
cnf(refute_12_618,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_12_617,refute_12_602]) ).
cnf(refute_12_619,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_620,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_618,refute_12_619]) ).
cnf(refute_12_621,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_12_601,refute_12_620]) ).
cnf(refute_12_622,plain,
e21 != e22,
inference(canonicalize,[],[normalize_12_143]) ).
cnf(refute_12_623,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_621,refute_12_622]) ).
cnf(refute_12_624,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_12_623,refute_12_600]) ).
cnf(refute_12_625,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_144]) ).
cnf(refute_12_626,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_12_145]) ).
cnf(refute_12_627,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_146]) ).
cnf(refute_12_628,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_629,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_628]) ).
cnf(refute_12_630,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_12_629,refute_12_627]) ).
cnf(refute_12_631,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_12_626,refute_12_630]) ).
cnf(refute_12_632,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_631,refute_12_169]) ).
cnf(refute_12_633,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_12_634,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_12_632,refute_12_633]) ).
cnf(refute_12_635,plain,
( e21 != op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_12_634,refute_12_625]) ).
cnf(refute_12_636,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_12_147]) ).
cnf(refute_12_637,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_12_636,refute_12_528]) ).
cnf(refute_12_638,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_148]) ).
cnf(refute_12_639,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_640,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_639]) ).
cnf(refute_12_641,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_12_640,refute_12_638]) ).
cnf(refute_12_642,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_637,refute_12_641]) ).
cnf(refute_12_643,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_12_644,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_642,refute_12_643]) ).
cnf(refute_12_645,plain,
( e21 != e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_12_644,refute_12_635]) ).
cnf(refute_12_646,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_645]) ).
cnf(refute_12_647,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_12_648,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_646,refute_12_647]) ).
cnf(refute_12_649,plain,
( ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_12_648,refute_12_624]) ).
cnf(refute_12_650,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_12_150]) ).
cnf(refute_12_651,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_12_652,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_651]) ).
cnf(refute_12_653,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_12_650,refute_12_652]) ).
cnf(refute_12_654,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_151]) ).
cnf(refute_12_655,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_656,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_655]) ).
cnf(refute_12_657,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_12_656,refute_12_654]) ).
cnf(refute_12_658,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_659,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_658]) ).
cnf(refute_12_660,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_12_661,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_660]) ).
cnf(refute_12_662,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_12_661,refute_12_659]) ).
cnf(refute_12_663,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_12_662,refute_12_657]) ).
cnf(refute_12_664,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_12_653,refute_12_663]) ).
cnf(refute_12_665,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_12_152]) ).
cnf(refute_12_666,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_12_667,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_668,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_12_666,refute_12_667]) ).
cnf(refute_12_669,plain,
op2(e23,h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_238,refute_12_668]) ).
cnf(refute_12_670,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_12_671,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_672,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_12_670,refute_12_671]) ).
cnf(refute_12_673,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_672]) ).
cnf(refute_12_674,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_12_34:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_12_675,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_12_673,refute_12_674]) ).
cnf(refute_12_676,plain,
op2(h4(e12),h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h2(e13))) )],[refute_12_669,refute_12_675]) ).
cnf(refute_12_677,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_12_678,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h2(e13))) )],[refute_12_676,refute_12_677]) ).
cnf(refute_12_679,plain,
h4(op1(e12,e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_12_665,refute_12_678]) ).
cnf(refute_12_680,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_12_153]) ).
cnf(refute_12_681,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_12_155]) ).
cnf(refute_12_682,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_12_156]) ).
cnf(refute_12_683,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_12_682,refute_12_605]) ).
cnf(refute_12_684,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_683,refute_12_300]) ).
cnf(refute_12_685,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_12_686,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_166,refute_12_685]) ).
cnf(refute_12_687,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_684,refute_12_686]) ).
cnf(refute_12_688,plain,
e20 != e21,
inference(canonicalize,[],[normalize_12_157]) ).
cnf(refute_12_689,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_687,refute_12_688]) ).
cnf(refute_12_690,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_691,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_689,refute_12_690]) ).
cnf(refute_12_692,plain,
( e21 = e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_681,refute_12_691]) ).
cnf(refute_12_693,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_692,refute_12_622]) ).
cnf(refute_12_694,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_12_695,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_12_693,refute_12_694]) ).
cnf(refute_12_696,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_12_695,refute_12_680]) ).
cnf(refute_12_697,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_12_158]) ).
cnf(refute_12_698,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_12_159]) ).
cnf(refute_12_699,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_12_698,refute_12_106]) ).
cnf(refute_12_700,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_699,refute_12_334]) ).
cnf(refute_12_701,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_700,refute_12_616]) ).
cnf(refute_12_702,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_12_701,refute_12_697]) ).
cnf(refute_12_703,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_704,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_702,refute_12_703]) ).
cnf(refute_12_705,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_704,refute_12_696]) ).
cnf(refute_12_706,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_705]) ).
cnf(refute_12_707,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_706,refute_12_128]) ).
cnf(refute_12_708,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_12_122,refute_12_707]) ).
cnf(refute_12_709,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_12_708,refute_12_132]) ).
cnf(refute_12_710,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_12_709,refute_12_134]) ).
cnf(refute_12_711,plain,
( h2(e13) != h2(e10)
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_12_712,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_12_710,refute_12_711]) ).
cnf(refute_12_713,plain,
( h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_12_679,refute_12_712]) ).
cnf(refute_12_714,plain,
( h2(e13) != e21
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_715,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_706,refute_12_714]) ).
cnf(refute_12_716,plain,
( h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_12_679,refute_12_715]) ).
cnf(refute_12_717,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e10))) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_12_718,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_12_716,refute_12_717]) ).
cnf(refute_12_719,plain,
( op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e10))) )],[refute_12_713,refute_12_718]) ).
cnf(refute_12_720,plain,
( h2(e13) != h2(e10)
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_12_721,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_12_710,refute_12_720]) ).
cnf(refute_12_722,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_12_245,refute_12_721]) ).
cnf(refute_12_723,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_12_160]) ).
cnf(refute_12_724,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_12_725,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_724]) ).
cnf(refute_12_726,plain,
h1(e13) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_12_725,refute_12_723]) ).
cnf(refute_12_727,plain,
( h1(e13) != e23
| op2(e20,e23) != e23
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_12_728,plain,
( h1(e13) != e23
| h1(e13) = op2(e20,e23)
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_213,refute_12_727]) ).
cnf(refute_12_729,plain,
( h1(e13) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_12_728,refute_12_726]) ).
cnf(refute_12_730,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_12_161]) ).
cnf(refute_12_731,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_12_732,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_731]) ).
cnf(refute_12_733,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_12_732,refute_12_730]) ).
cnf(refute_12_734,plain,
( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_12_162]) ).
cnf(refute_12_735,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_12_617,refute_12_697]) ).
cnf(refute_12_736,plain,
( op2(e22,e20) != e21
| op2(e22,e21) != e20
| op2(e22,op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_737,plain,
( op2(e22,e21) != e20
| op2(e22,op2(e22,e20)) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_735,refute_12_736]) ).
cnf(refute_12_738,plain,
( op2(e22,e21) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e20)),e20) )],[refute_12_737,refute_12_734]) ).
cnf(refute_12_739,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(canonicalize,[],[normalize_12_163]) ).
cnf(refute_12_740,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_741,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_740]) ).
cnf(refute_12_742,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_739,refute_12_741]) ).
cnf(refute_12_743,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_742,refute_12_326]) ).
cnf(refute_12_744,plain,
( e20 != e20
| op2(e22,e21) != e20
| op2(e22,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[1],$fot(e20)]]) ).
cnf(refute_12_745,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_12_743,refute_12_744]) ).
cnf(refute_12_746,plain,
( e20 != e20
| h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_12_745,refute_12_738]) ).
cnf(refute_12_747,plain,
( h2(e13) = e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_86,refute_12_746]) ).
cnf(refute_12_748,plain,
( h1(e13) != e20
| op2(e20,e21) != e20
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_12_749,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e21)
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_747,refute_12_748]) ).
cnf(refute_12_750,plain,
( h1(e13) != e20
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_12_749,refute_12_733]) ).
cnf(refute_12_751,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_164]) ).
cnf(refute_12_752,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_12_165]) ).
cnf(refute_12_753,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_12_754,plain,
( e22 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_752,refute_12_753]) ).
cnf(refute_12_755,plain,
( e22 != op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_12_754,refute_12_321]) ).
cnf(refute_12_756,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_12_757,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_12_335,refute_12_756]) ).
cnf(refute_12_758,plain,
( e22 != e22
| op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_12_757,refute_12_755]) ).
cnf(refute_12_759,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_368,refute_12_758]) ).
cnf(refute_12_760,plain,
( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_12_761,plain,
( op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_759,refute_12_760]) ).
cnf(refute_12_762,plain,
( op2(e23,e20) != e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_12_761,refute_12_751]) ).
cnf(refute_12_763,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_12_166]) ).
cnf(refute_12_764,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_12_765,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_764]) ).
cnf(refute_12_766,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_12_763,refute_12_765]) ).
cnf(refute_12_767,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_167]) ).
cnf(refute_12_768,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_769,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_15,refute_12_768]) ).
cnf(refute_12_770,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_12_769,refute_12_767]) ).
cnf(refute_12_771,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_12_766,refute_12_770]) ).
cnf(refute_12_772,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_12_773,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_771,refute_12_772]) ).
cnf(refute_12_774,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_773,refute_12_762]) ).
cnf(refute_12_775,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_774]) ).
cnf(refute_12_776,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_12_168]) ).
cnf(refute_12_777,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_12_776,refute_12_75]) ).
cnf(refute_12_778,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_12_777,refute_12_175]) ).
cnf(refute_12_779,plain,
( op2(e22,e20) != e20
| op2(e22,op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e20)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_12_780,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,op2(e22,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_12_778,refute_12_779]) ).
cnf(refute_12_781,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e20)),e20) )],[refute_12_780,refute_12_734]) ).
cnf(refute_12_782,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e20)]]) ).
cnf(refute_12_783,plain,
( op2(e21,e20) != e23
| e20 = e23
| h1(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_781,refute_12_782]) ).
cnf(refute_12_784,plain,
( e20 = e23
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_12_775,refute_12_783]) ).
cnf(refute_12_785,plain,
e20 != e23,
inference(canonicalize,[],[normalize_12_169]) ).
cnf(refute_12_786,plain,
( h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_784,refute_12_785]) ).
cnf(refute_12_787,plain,
( e20 != e20
| h1(e13) = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_12_786,refute_12_83]) ).
cnf(refute_12_788,plain,
( e20 != e20
| h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_12_787,refute_12_750]) ).
cnf(refute_12_789,plain,
( h1(e13) = e23
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_86,refute_12_788]) ).
cnf(refute_12_790,plain,
( h2(e13) != e20
| h2(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_12_791,plain,
( h2(e13) != e20
| e21 = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_706,refute_12_790]) ).
cnf(refute_12_792,plain,
( e21 = e20
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_789,refute_12_791]) ).
cnf(refute_12_793,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_794,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_793,refute_12_688]) ).
cnf(refute_12_795,plain,
( h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_792,refute_12_794]) ).
cnf(refute_12_796,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_797,plain,
( e23 != e23
| h1(e13) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_12_795,refute_12_796]) ).
cnf(refute_12_798,plain,
( e23 != e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_12_797,refute_12_729]) ).
cnf(refute_12_799,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_798]) ).
cnf(refute_12_800,plain,
( h4(e10) != e23
| h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_801,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e10))
| h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_799,refute_12_800]) ).
cnf(refute_12_802,plain,
( h4(op1(e10,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e10))) )],[refute_12_722,refute_12_801]) ).
cnf(refute_12_803,plain,
( h4(op1(e10,e11)) != op2(e23,h2(e10))
| op2(e23,h2(e10)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(op2(e23,h2(e10))))]]) ).
cnf(refute_12_804,plain,
( op2(e23,h2(e10)) = h4(op1(e10,e11))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h2(e10))) )],[refute_12_802,refute_12_803]) ).
cnf(refute_12_805,plain,
( op2(e23,e21) != op2(e23,h2(e10))
| op2(e23,h2(e10)) != h4(op1(e10,e11))
| op2(e23,e21) = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(op1(e10,e11))) ),[0],$fot(op2(e23,h2(e10)))]]) ).
cnf(refute_12_806,plain,
( op2(e23,e21) != op2(e23,h2(e10))
| op2(e23,e21) = h4(op1(e10,e11))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e10)),h4(op1(e10,e11))) )],[refute_12_804,refute_12_805]) ).
cnf(refute_12_807,plain,
( op2(e23,e21) = h4(op1(e10,e11))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e10))) )],[refute_12_719,refute_12_806]) ).
cnf(refute_12_808,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_799,refute_12_217]) ).
cnf(refute_12_809,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_12_185,refute_12_808]) ).
cnf(refute_12_810,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_759,refute_12_370]) ).
cnf(refute_12_811,plain,
( h4(op1(e10,e13)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_12_809,refute_12_810]) ).
cnf(refute_12_812,plain,
( h4(e12) != op2(e21,h4(e10))
| op1(e13,e10) != e12
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_813,plain,
( h4(e12) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10))
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_12_447,refute_12_812]) ).
cnf(refute_12_814,plain,
( h4(e12) != op2(e21,h4(e10))
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_12_813,refute_12_414]) ).
cnf(refute_12_815,plain,
( e23 != op2(e21,h4(e10))
| h4(e12) != e23
| h4(e12) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_12_816,plain,
( e23 != op2(e21,h4(e10))
| h4(e12) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_247,refute_12_815]) ).
cnf(refute_12_817,plain,
( e23 != op2(e21,h4(e10))
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,h4(e10))) )],[refute_12_816,refute_12_814]) ).
cnf(refute_12_818,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_12_170]) ).
cnf(refute_12_819,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_12_820,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_821,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_12_819,refute_12_820]) ).
cnf(refute_12_822,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_238,refute_12_821]) ).
cnf(refute_12_823,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_12_824,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_12_822,refute_12_823]) ).
cnf(refute_12_825,plain,
h4(op1(e11,e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_12_818,refute_12_824]) ).
cnf(refute_12_826,plain,
( h2(e13) != e21
| h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_827,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_706,refute_12_826]) ).
cnf(refute_12_828,plain,
( h4(op1(e11,e10)) = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_12_825,refute_12_827]) ).
cnf(refute_12_829,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_830,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_799,refute_12_829]) ).
cnf(refute_12_831,plain,
( h4(op1(e11,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) )],[refute_12_828,refute_12_830]) ).
cnf(refute_12_832,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_12_833,plain,
( h4(op1(e11,e10)) != op2(e21,e23)
| h4(op1(e11,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_209,refute_12_832]) ).
cnf(refute_12_834,plain,
( h4(op1(e11,e10)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e23)) )],[refute_12_831,refute_12_833]) ).
cnf(refute_12_835,plain,
( h4(e10) != e23
| h4(op1(e11,e10)) != h4(e10)
| h4(op1(e11,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_12_836,plain,
( h4(op1(e11,e10)) != h4(e10)
| h4(op1(e11,e10)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_12_799,refute_12_835]) ).
cnf(refute_12_837,plain,
( h4(op1(e11,e10)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e10)) )],[refute_12_834,refute_12_836]) ).
cnf(refute_12_838,plain,
( h4(op1(e11,e10)) != e23
| h4(op1(e11,e10)) != op2(e21,h4(e10))
| e23 = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) ),[0],$fot(e23)]]) ).
cnf(refute_12_839,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| e23 = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e23) )],[refute_12_837,refute_12_838]) ).
cnf(refute_12_840,plain,
( e23 = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) )],[refute_12_828,refute_12_839]) ).
cnf(refute_12_841,plain,
( e23 != op2(e21,h4(e10))
| op2(e21,h4(e10)) = e23 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,h4(e10))))]]) ).
cnf(refute_12_842,plain,
( op2(e21,h4(e10)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,h4(e10))) )],[refute_12_840,refute_12_841]) ).
cnf(refute_12_843,plain,
( e23 != e23
| op2(e21,h4(e10)) != e23
| e23 = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,h4(e10))) ),[1],$fot(e23)]]) ).
cnf(refute_12_844,plain,
( e23 != e23
| e23 = op2(e21,h4(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),e23) )],[refute_12_842,refute_12_843]) ).
cnf(refute_12_845,plain,
( e23 != e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,h4(e10))) )],[refute_12_844,refute_12_817]) ).
cnf(refute_12_846,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_454,refute_12_845]) ).
cnf(refute_12_847,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_12_846,refute_12_456]) ).
cnf(refute_12_848,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_12_847,refute_12_406]) ).
cnf(refute_12_849,plain,
( op1(e10,e11) = e13
| op1(e10,e13) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_12_459,refute_12_848]) ).
cnf(refute_12_850,plain,
( h4(op1(e10,e13)) != e23
| h4(e13) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_12_849,refute_12_461]) ).
cnf(refute_12_851,plain,
( h4(e13) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_12_811,refute_12_850]) ).
cnf(refute_12_852,plain,
( e21 = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_851,refute_12_47]) ).
cnf(refute_12_853,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_852,refute_12_49]) ).
cnf(refute_12_854,plain,
( op1(e10,e11) != e13
| op2(e23,e21) != h4(op1(e10,e11))
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_855,plain,
( op2(e23,e21) != h4(op1(e10,e11))
| op2(e23,e21) = h4(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_12_853,refute_12_854]) ).
cnf(refute_12_856,plain,
( op2(e23,e21) = h4(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(op1(e10,e11))) )],[refute_12_807,refute_12_855]) ).
cnf(refute_12_857,plain,
( h4(e13) != e21
| op2(e23,e21) != h4(e13)
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_12_858,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_857]) ).
cnf(refute_12_859,plain,
( op2(e23,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_12_856,refute_12_858]) ).
cnf(refute_12_860,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_859,refute_12_334]) ).
cnf(refute_12_861,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_12_860,refute_12_664]) ).
cnf(refute_12_862,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_12_861,refute_12_649]) ).
cnf(refute_12_863,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_12_864,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_12_862,refute_12_863]) ).
cnf(refute_12_865,plain,
( h1(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_12_864,refute_12_479]) ).
cnf(refute_12_866,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_642,refute_12_647]) ).
cnf(refute_12_867,plain,
( ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_12_866,refute_12_624]) ).
cnf(refute_12_868,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_12_861,refute_12_867]) ).
cnf(refute_12_869,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_870,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_868,refute_12_869]) ).
cnf(refute_12_871,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_12_870,refute_12_624]) ).
cnf(refute_12_872,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_12_873,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_872]) ).
cnf(refute_12_874,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_12_873,refute_12_871]) ).
cnf(refute_12_875,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_12_861,refute_12_874]) ).
cnf(refute_12_876,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_12_171]) ).
cnf(refute_12_877,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_12_878,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_65,refute_12_877]) ).
cnf(refute_12_879,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_12_876,refute_12_878]) ).
cnf(refute_12_880,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_881,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_54,refute_12_880]) ).
cnf(refute_12_882,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_12_879,refute_12_881]) ).
cnf(refute_12_883,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_12_882,refute_12_17]) ).
cnf(refute_12_884,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_12_885,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_8,refute_12_884]) ).
cnf(refute_12_886,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_12_883,refute_12_885]) ).
cnf(refute_12_887,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_12_886,refute_12_21]) ).
cnf(refute_12_888,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_889,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_45,refute_12_888]) ).
cnf(refute_12_890,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_12_887,refute_12_889]) ).
cnf(refute_12_891,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_890,refute_12_622]) ).
cnf(refute_12_892,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_893,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_642,refute_12_892]) ).
cnf(refute_12_894,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_893,refute_12_891]) ).
cnf(refute_12_895,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_894]) ).
cnf(refute_12_896,plain,
( h1(e13) = e22
| h2(e13) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_895,refute_12_647]) ).
cnf(refute_12_897,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_12_896,refute_12_624]) ).
cnf(refute_12_898,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_12_861,refute_12_897]) ).
cnf(refute_12_899,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_12_900,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_898,refute_12_899]) ).
cnf(refute_12_901,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_900,refute_12_875]) ).
cnf(refute_12_902,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_12_901,refute_12_865]) ).
cnf(refute_12_903,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_368,refute_12_902]) ).
cnf(refute_12_904,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_12_903,refute_12_475]) ).
cnf(refute_12_905,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_12_906,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_904,refute_12_905]) ).
cnf(refute_12_907,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_12_172]) ).
cnf(refute_12_908,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_12_152,refute_12_907]) ).
cnf(refute_12_909,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_12_176,refute_12_908]) ).
cnf(refute_12_910,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_12_866,refute_12_909]) ).
cnf(refute_12_911,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_12_474,refute_12_910]) ).
cnf(refute_12_912,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_12_903,refute_12_911]) ).
cnf(refute_12_913,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_912,refute_12_643]) ).
cnf(refute_12_914,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_12_913,refute_12_906]) ).
cnf(refute_12_915,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_12_914,refute_12_0]) ).
cnf(refute_12_916,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_150,refute_12_915]) ).
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) != 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_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_13_3,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_13_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_13_5,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_13_6,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_13_4,normalize_13_5]) ).
fof(normalize_13_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_13_3,normalize_13_6,normalize_13_5]) ).
fof(normalize_13_8,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_13_9,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_13_7,normalize_13_8]) ).
fof(normalize_13_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_2,normalize_13_9,normalize_13_6,normalize_13_5,normalize_13_8]) ).
fof(normalize_13_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_13_12,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_13_13,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_13_11,normalize_13_12]) ).
fof(normalize_13_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_10,normalize_13_13,normalize_13_12]) ).
fof(normalize_13_15,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_13_16,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_14,normalize_13_15]) ).
fof(normalize_13_17,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_13_16]) ).
fof(normalize_13_18,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_13_17]) ).
fof(normalize_13_19,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_9]) ).
fof(normalize_13_20,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_21,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_13_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_13_21]) ).
fof(normalize_13_23,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_8]) ).
fof(normalize_13_24,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_13_23]) ).
fof(normalize_13_25,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_13_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_27,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_13_28,plain,
e22 != e23,
inference(conjunct,[],[normalize_13_27]) ).
fof(normalize_13_29,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_30,plain,
e21 != e23,
inference(conjunct,[],[normalize_13_27]) ).
fof(normalize_13_31,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_13_32,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_33,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != 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_34,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_13_35,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_36,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_13_37,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_38,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_13_39,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_13_38]) ).
fof(normalize_13_40,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_33,normalize_13_35,normalize_13_37,normalize_13_39]) ).
fof(normalize_13_41,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_42,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_13_21]) ).
fof(normalize_13_43,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_44,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_6]) ).
fof(normalize_13_45,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_13_44]) ).
fof(normalize_13_46,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_5]) ).
fof(normalize_13_47,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_13_46]) ).
fof(normalize_13_48,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_49,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_13_46]) ).
fof(normalize_13_50,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_51,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_52,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_13_21]) ).
fof(normalize_13_53,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_13_21]) ).
fof(normalize_13_54,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_13_55,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_56,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_57,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_13_58,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_13_57]) ).
fof(normalize_13_59,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_60,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_13_57]) ).
fof(normalize_13_61,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_62,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_63,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_13_62]) ).
fof(normalize_13_64,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_65,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_66,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_67,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_13_62]) ).
fof(normalize_13_68,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_69,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_13_57]) ).
fof(normalize_13_70,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_13_71,plain,
e11 != e13,
inference(conjunct,[],[normalize_13_70]) ).
fof(normalize_13_72,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_13]) ).
fof(normalize_13_73,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_13_72]) ).
fof(normalize_13_74,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_12]) ).
fof(normalize_13_75,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_76,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_77,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_78,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_79,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_80,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_81,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_82,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_83,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_84,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_85,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_86,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_87,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_15]) ).
fof(normalize_13_88,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_13_87]) ).
fof(normalize_13_89,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_90,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_13_89]) ).
fof(normalize_13_91,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_92,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_93,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_94,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_95,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_96,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_13_97,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_13_98,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_13_99,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_13_97,normalize_13_98]) ).
fof(normalize_13_100,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_96,normalize_13_99,normalize_13_98]) ).
fof(normalize_13_101,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_13_102,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_100,normalize_13_101]) ).
fof(normalize_13_103,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_13_102]) ).
fof(normalize_13_104,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_13_103]) ).
fof(normalize_13_105,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_106,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_107,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_108,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_109,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_13_110,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_13_109]) ).
fof(normalize_13_111,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_13_110,normalize_13_16,normalize_13_13,normalize_13_9,normalize_13_6,normalize_13_5,normalize_13_8,normalize_13_15,normalize_13_12]) ).
fof(normalize_13_112,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_13_111,normalize_13_102,normalize_13_99,normalize_13_101,normalize_13_98]) ).
fof(normalize_13_113,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_13_114,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_13_115,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_13_113,normalize_13_114]) ).
fof(normalize_13_116,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_13_112,normalize_13_115,normalize_13_114]) ).
fof(normalize_13_117,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_13_118,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_13_116,normalize_13_117]) ).
fof(normalize_13_119,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_13_118]) ).
fof(normalize_13_120,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_13_119]) ).
fof(normalize_13_121,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_13_115]) ).
fof(normalize_13_122,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_13_121]) ).
fof(normalize_13_123,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_114]) ).
fof(normalize_13_124,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_13_123]) ).
fof(normalize_13_125,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_13_123]) ).
fof(normalize_13_126,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_13_117]) ).
fof(normalize_13_127,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_13_126]) ).
fof(normalize_13_128,plain,
e20 != e22,
inference(conjunct,[],[normalize_13_27]) ).
fof(normalize_13_129,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_130,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_131,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_132,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_13_133,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_134,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_135,plain,
( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_13_119]) ).
fof(normalize_13_136,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_137,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_13_54]) ).
fof(normalize_13_138,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_139,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_13_89]) ).
fof(normalize_13_140,plain,
e21 != e22,
inference(conjunct,[],[normalize_13_27]) ).
fof(normalize_13_141,plain,
e20 != e23,
inference(conjunct,[],[normalize_13_27]) ).
fof(normalize_13_142,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_143,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_13_119]) ).
fof(normalize_13_144,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_13_119]) ).
fof(normalize_13_145,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_13_89]) ).
fof(normalize_13_146,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_147,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_148,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_99]) ).
fof(normalize_13_149,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_13_148]) ).
fof(normalize_13_150,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_151,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_98]) ).
fof(normalize_13_152,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_13_151]) ).
fof(normalize_13_153,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_154,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_155,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_156,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_13_151]) ).
fof(normalize_13_157,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_158,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_13_101]) ).
fof(normalize_13_159,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_13_158]) ).
fof(normalize_13_160,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_13_158]) ).
fof(normalize_13_161,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_13_89]) ).
fof(normalize_13_162,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_13_103]) ).
fof(normalize_13_163,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_13_109]) ).
fof(normalize_13_164,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_165,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_166,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_167,plain,
( ~ definitionFOFtoCNF_109
<=> ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_13_168,plain,
( ( h1(e10) != e22
| ~ definitionFOFtoCNF_109 )
& ( h1(e11) != e22
| ~ definitionFOFtoCNF_109 )
& ( h1(e12) != e22
| ~ definitionFOFtoCNF_109 )
& ( h1(e13) != e22
| ~ definitionFOFtoCNF_109 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_109 ) ),
inference(clausify,[],[normalize_13_167]) ).
fof(normalize_13_169,plain,
( h1(e13) != e22
| ~ definitionFOFtoCNF_109 ),
inference(conjunct,[],[normalize_13_168]) ).
fof(normalize_13_170,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_171,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_13_17]) ).
fof(normalize_13_172,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_13_132]) ).
fof(normalize_13_173,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_174,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_175,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_176,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_177,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_178,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_13_103]) ).
fof(normalize_13_179,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_180,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_13_89]) ).
fof(normalize_13_181,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_182,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_183,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_109 ),
inference(conjunct,[],[normalize_13_168]) ).
fof(normalize_13_184,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_13_103]) ).
fof(normalize_13_185,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_186,plain,
e10 != e12,
inference(conjunct,[],[normalize_13_70]) ).
cnf(refute_13_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_2,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_3,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_4,refute_13_5]) ).
cnf(refute_13_7,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_8,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_13_3,refute_13_7]) ).
cnf(refute_13_9,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_13_10,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_9]) ).
cnf(refute_13_11,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_13_2,refute_13_10]) ).
cnf(refute_13_12,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_13_13,refute_13_14]) ).
cnf(refute_13_16,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_13_17,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_16]) ).
cnf(refute_13_18,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_13_12,refute_13_17]) ).
cnf(refute_13_19,plain,
e22 != e23,
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_20,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_13_21,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_20,refute_13_19]) ).
cnf(refute_13_22,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_18,refute_13_21]) ).
cnf(refute_13_23,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_13_22,refute_13_11]) ).
cnf(refute_13_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_25,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_13_26,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_27,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_25,refute_13_26]) ).
cnf(refute_13_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_27]) ).
cnf(refute_13_29,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_13_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_29,refute_13_30]) ).
cnf(refute_13_32,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_31]) ).
cnf(refute_13_33,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_34,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_6,refute_13_33]) ).
cnf(refute_13_35,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_36,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_32,refute_13_35]) ).
cnf(refute_13_37,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_13_28,refute_13_36]) ).
cnf(refute_13_38,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_13_39,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_13_37,refute_13_38]) ).
cnf(refute_13_40,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_39]) ).
cnf(refute_13_41,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_13_42,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_13_40,refute_13_41]) ).
cnf(refute_13_43,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_24,refute_13_42]) ).
cnf(refute_13_44,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_13_45,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_13_47,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_46]) ).
cnf(refute_13_48,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_23,refute_13_47]) ).
cnf(refute_13_49,plain,
e21 != e23,
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_50,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_48,refute_13_49]) ).
cnf(refute_13_51,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_13_32]) ).
cnf(refute_13_52,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_53,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_54,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_55,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_56,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_13_54,refute_13_55]) ).
cnf(refute_13_57,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_13_58,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_57]) ).
cnf(refute_13_59,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_58]) ).
cnf(refute_13_60,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_13_61,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_62,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_13_60,refute_13_61]) ).
cnf(refute_13_63,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_59,refute_13_62]) ).
cnf(refute_13_64,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_13_65,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_66,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_64,refute_13_65]) ).
cnf(refute_13_67,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_59,refute_13_66]) ).
cnf(refute_13_68,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_69,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_13_67,refute_13_68]) ).
cnf(refute_13_70,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_13_63,refute_13_69]) ).
cnf(refute_13_71,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_13_72,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_13_70,refute_13_71]) ).
cnf(refute_13_73,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_72]) ).
cnf(refute_13_74,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_13_75,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_13_73,refute_13_74]) ).
cnf(refute_13_76,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_53,refute_13_75]) ).
cnf(refute_13_77,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_13_78,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_79,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_13_77,refute_13_78]) ).
cnf(refute_13_80,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_79]) ).
cnf(refute_13_81,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_13_82,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_13_80,refute_13_81]) ).
cnf(refute_13_83,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_13_52,refute_13_82]) ).
cnf(refute_13_84,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_13_45]) ).
cnf(refute_13_85,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_86,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_85]) ).
cnf(refute_13_87,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_13_84,refute_13_86]) ).
cnf(refute_13_88,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_89,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_48]) ).
cnf(refute_13_90,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_91,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_13_89,refute_13_90]) ).
cnf(refute_13_92,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_13_93,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_13_94,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_13_92,refute_13_93]) ).
cnf(refute_13_95,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_94]) ).
cnf(refute_13_96,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_13_97,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_13_95,refute_13_96]) ).
cnf(refute_13_98,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_13_97,refute_13_88]) ).
cnf(refute_13_99,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_13_49]) ).
cnf(refute_13_100,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_101,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_100]) ).
cnf(refute_13_102,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_13_99,refute_13_101]) ).
cnf(refute_13_103,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_13_104,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_13_102,refute_13_103]) ).
cnf(refute_13_105,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_13_104,refute_13_98]) ).
cnf(refute_13_106,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_13_107,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_106]) ).
cnf(refute_13_108,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_13_107,refute_13_105]) ).
cnf(refute_13_109,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_13_110,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_13_102,refute_13_109]) ).
cnf(refute_13_111,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_13_110,refute_13_108]) ).
cnf(refute_13_112,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_13_113,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_112,refute_13_111]) ).
cnf(refute_13_114,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_13_113,refute_13_87]) ).
cnf(refute_13_115,plain,
( h2(e13) != e21
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_116,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_114,refute_13_115]) ).
cnf(refute_13_117,plain,
( h4(op1(e10,e11)) = op2(h4(e10),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_13_83,refute_13_116]) ).
cnf(refute_13_118,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_13_50]) ).
cnf(refute_13_119,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_13_120,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_121,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_13_119,refute_13_120]) ).
cnf(refute_13_122,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_121]) ).
cnf(refute_13_123,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_13_124,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_13_122,refute_13_123]) ).
cnf(refute_13_125,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_13_118,refute_13_124]) ).
cnf(refute_13_126,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_13_127,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_13_125,refute_13_126]) ).
cnf(refute_13_128,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_13_129,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| h4(op1(e10,e11)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_13_127,refute_13_128]) ).
cnf(refute_13_130,plain,
( h4(op1(e10,e11)) = h4(op1(e10,e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),e21)) )],[refute_13_117,refute_13_129]) ).
cnf(refute_13_131,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_13_51]) ).
cnf(refute_13_132,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_13_52]) ).
cnf(refute_13_133,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_13_134,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_135,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_13_133,refute_13_134]) ).
cnf(refute_13_136,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_135]) ).
cnf(refute_13_137,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_13_138,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_13_139,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_13_137,refute_13_138]) ).
cnf(refute_13_140,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_139]) ).
cnf(refute_13_141,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_13_142,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_13_140,refute_13_141]) ).
cnf(refute_13_143,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_13_136,refute_13_142]) ).
cnf(refute_13_144,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_13_145,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_13_143,refute_13_144]) ).
cnf(refute_13_146,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_13_131,refute_13_145]) ).
cnf(refute_13_147,plain,
( h2(e13) != e21
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_148,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_114,refute_13_147]) ).
cnf(refute_13_149,plain,
( h4(op1(e11,e12)) = op2(e21,e23)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_13_146,refute_13_148]) ).
cnf(refute_13_150,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_13_53]) ).
cnf(refute_13_151,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_152,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_153,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_13_151,refute_13_152]) ).
cnf(refute_13_154,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_59,refute_13_153]) ).
cnf(refute_13_155,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_156,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_13_154,refute_13_155]) ).
cnf(refute_13_157,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_13_150,refute_13_156]) ).
cnf(refute_13_158,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_13_159,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_13_157,refute_13_158]) ).
cnf(refute_13_160,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_13_161,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_160]) ).
cnf(refute_13_162,plain,
( h4(op1(e11,e12)) = h4(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_13_149,refute_13_161]) ).
cnf(refute_13_163,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_13_55]) ).
cnf(refute_13_164,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_56]) ).
cnf(refute_13_165,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_13_58]) ).
cnf(refute_13_166,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_13_167,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_13_165,refute_13_166]) ).
cnf(refute_13_168,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_169,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_168]) ).
cnf(refute_13_170,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_13_169,refute_13_164]) ).
cnf(refute_13_171,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_13_163,refute_13_170]) ).
cnf(refute_13_172,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_59]) ).
cnf(refute_13_173,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_13_60]) ).
cnf(refute_13_174,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_13_175,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_176,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_13_174,refute_13_175]) ).
cnf(refute_13_177,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_176]) ).
cnf(refute_13_178,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_13_179,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_13_177,refute_13_178]) ).
cnf(refute_13_180,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_13_173,refute_13_179]) ).
cnf(refute_13_181,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_13_182,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_13_180,refute_13_181]) ).
cnf(refute_13_183,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_13_184,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_182,refute_13_183]) ).
cnf(refute_13_185,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_13_184,refute_13_172]) ).
cnf(refute_13_186,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_13_171,refute_13_185]) ).
cnf(refute_13_187,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e11
| h4(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_188,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e11) = h4(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_13_186,refute_13_187]) ).
cnf(refute_13_189,plain,
( h4(e11) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_13_162,refute_13_188]) ).
cnf(refute_13_190,plain,
( h4(e11) != h2(e13)
| h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_191,plain,
( h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_190]) ).
cnf(refute_13_192,plain,
( h2(e13) = h4(e10)
| op1(e11,e12) = e12
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_13_189,refute_13_191]) ).
cnf(refute_13_193,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_13_61]) ).
cnf(refute_13_194,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_13_195,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_194]) ).
cnf(refute_13_196,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_13_195,refute_13_193]) ).
cnf(refute_13_197,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_198,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_197]) ).
cnf(refute_13_199,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_13_198,refute_13_196]) ).
cnf(refute_13_200,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_13_192,refute_13_199]) ).
cnf(refute_13_201,plain,
( h4(op1(e11,e12)) != h4(e10)
| op1(e11,e12) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_202,plain,
( h4(op1(e11,e12)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_13_200,refute_13_201]) ).
cnf(refute_13_203,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_13_162,refute_13_202]) ).
cnf(refute_13_204,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_13_205,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_204]) ).
cnf(refute_13_206,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_13_203,refute_13_205]) ).
cnf(refute_13_207,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_13_208,plain,
( h4(e10) = e23
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_13_206,refute_13_207]) ).
cnf(refute_13_209,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_210,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_208,refute_13_209]) ).
cnf(refute_13_211,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_13_125,refute_13_210]) ).
cnf(refute_13_212,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e23,e21)
| h4(op1(e10,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_13_213,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e13))
| h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_13_211,refute_13_212]) ).
cnf(refute_13_214,plain,
( h4(op1(e10,e11)) = op2(e23,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e13))) )],[refute_13_130,refute_13_213]) ).
cnf(refute_13_215,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_13_63]) ).
cnf(refute_13_216,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_64]) ).
cnf(refute_13_217,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_218,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_217]) ).
cnf(refute_13_219,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_13_218,refute_13_216]) ).
cnf(refute_13_220,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_13_215,refute_13_219]) ).
cnf(refute_13_221,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| op1(e10,e13) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_222,plain,
( h4(op1(e10,e13)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_220,refute_13_221]) ).
cnf(refute_13_223,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_13_211,refute_13_222]) ).
cnf(refute_13_224,plain,
( h4(e13) != e21
| h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_13_225,plain,
( h4(e13) != op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_224]) ).
cnf(refute_13_226,plain,
( e21 = op2(e23,e21)
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_13_223,refute_13_225]) ).
cnf(refute_13_227,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_65]) ).
cnf(refute_13_228,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_229,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_228]) ).
cnf(refute_13_230,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_13_229,refute_13_227]) ).
cnf(refute_13_231,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_232,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_231]) ).
cnf(refute_13_233,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_13_232,refute_13_230]) ).
cnf(refute_13_234,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_235,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_13_234,refute_13_233]) ).
cnf(refute_13_236,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_13_226,refute_13_235]) ).
cnf(refute_13_237,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_238,plain,
( h4(op1(e10,e11)) != op2(e23,e21)
| h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_13_236,refute_13_237]) ).
cnf(refute_13_239,plain,
( h4(e13) = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e21)) )],[refute_13_214,refute_13_238]) ).
cnf(refute_13_240,plain,
( e21 = op2(e23,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e21)) )],[refute_13_239,refute_13_225]) ).
cnf(refute_13_241,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_13_240,refute_13_235]) ).
cnf(refute_13_242,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_13_243,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_13_241,refute_13_242]) ).
cnf(refute_13_244,plain,
( e13 != op1(e13,e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_13_243,refute_13_51]) ).
cnf(refute_13_245,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_13_66]) ).
cnf(refute_13_246,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_13_247,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_248,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_13_246,refute_13_247]) ).
cnf(refute_13_249,plain,
op2(e21,h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_248]) ).
cnf(refute_13_250,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_251,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_252,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_250,refute_13_251]) ).
cnf(refute_13_253,plain,
op2(h4(e13),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_252]) ).
cnf(refute_13_254,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_13_255,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h4(e11))) )],[refute_13_253,refute_13_254]) ).
cnf(refute_13_256,plain,
op2(h4(e13),h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h2(e13))) )],[refute_13_249,refute_13_255]) ).
cnf(refute_13_257,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) ),[1],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_13_258,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h2(e13))) )],[refute_13_256,refute_13_257]) ).
cnf(refute_13_259,plain,
h4(op1(e13,e11)) != op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_258,refute_13_245]) ).
cnf(refute_13_260,plain,
( h2(e13) != e21
| h4(op1(e13,e11)) != op2(e21,e21)
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_261,plain,
( h4(op1(e13,e11)) != op2(e21,e21)
| h4(op1(e13,e11)) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_114,refute_13_260]) ).
cnf(refute_13_262,plain,
( h4(op1(e13,e11)) != op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_13_261,refute_13_259]) ).
cnf(refute_13_263,plain,
( h4(op1(e13,e11)) != h2(e13)
| op2(e21,e21) != h2(e13)
| h4(op1(e13,e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_13_264,plain,
( h4(op1(e13,e11)) != h2(e13)
| h4(op1(e13,e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_263]) ).
cnf(refute_13_265,plain,
( h4(op1(e13,e11)) != h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,e21)) )],[refute_13_264,refute_13_262]) ).
cnf(refute_13_266,plain,
( h2(e13) != e21
| h4(op1(e13,e11)) != e21
| h4(op1(e13,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_267,plain,
( h4(op1(e13,e11)) != e21
| h4(op1(e13,e11)) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_114,refute_13_266]) ).
cnf(refute_13_268,plain,
( h4(op1(e13,e11)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h2(e13)) )],[refute_13_267,refute_13_265]) ).
cnf(refute_13_269,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_13_67]) ).
cnf(refute_13_270,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_68]) ).
cnf(refute_13_271,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_13_272,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_271]) ).
cnf(refute_13_273,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_13_272,refute_13_270]) ).
cnf(refute_13_274,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_13_275,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_13_274,refute_13_273]) ).
cnf(refute_13_276,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_13_269,refute_13_275]) ).
cnf(refute_13_277,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_13_69]) ).
cnf(refute_13_278,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_13_279,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_280,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_278,refute_13_279]) ).
cnf(refute_13_281,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_280]) ).
cnf(refute_13_282,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_13_283,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_284,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_282,refute_13_283]) ).
cnf(refute_13_285,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_284]) ).
cnf(refute_13_286,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_287,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_285,refute_13_286]) ).
cnf(refute_13_288,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_13_281,refute_13_287]) ).
cnf(refute_13_289,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_13_290,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_13_288,refute_13_289]) ).
cnf(refute_13_291,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_277,refute_13_290]) ).
cnf(refute_13_292,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_293,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_13_291,refute_13_292]) ).
cnf(refute_13_294,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_13_295,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_293,refute_13_294]) ).
cnf(refute_13_296,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_13_276,refute_13_295]) ).
cnf(refute_13_297,plain,
e11 != e13,
inference(canonicalize,[],[normalize_13_71]) ).
cnf(refute_13_298,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_296,refute_13_297]) ).
cnf(refute_13_299,plain,
( h4(e13) != e21
| op1(e13,e11) != e13
| h4(op1(e13,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),e21) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_300,plain,
( h4(e13) != e21
| h4(op1(e13,e11)) = e21
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_298,refute_13_299]) ).
cnf(refute_13_301,plain,
( h4(e13) != e21
| op1(e13,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_13_300,refute_13_268]) ).
cnf(refute_13_302,plain,
( e21 != e21
| h4(e13) != e21
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_13_303,plain,
( e21 != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_302]) ).
cnf(refute_13_304,plain,
( e21 != e21
| op1(e13,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_303,refute_13_301]) ).
cnf(refute_13_305,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_13_306,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_304]) ).
cnf(refute_13_307,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_13_308,plain,
( e13 != e13
| e13 = op1(e13,e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_13_306,refute_13_307]) ).
cnf(refute_13_309,plain,
( e13 != e13
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_13_308,refute_13_244]) ).
cnf(refute_13_310,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_13_311,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_13_310,refute_13_309]) ).
cnf(refute_13_312,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_13_311,refute_13_50]) ).
cnf(refute_13_313,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_13_312,refute_13_1]) ).
cnf(refute_13_314,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_13_73]) ).
cnf(refute_13_315,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_13_75]) ).
cnf(refute_13_316,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_13_76]) ).
cnf(refute_13_317,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_13_77]) ).
cnf(refute_13_318,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_13_319,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_320,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_13_318,refute_13_319]) ).
cnf(refute_13_321,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_320]) ).
cnf(refute_13_322,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_13_323,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_13_321,refute_13_322]) ).
cnf(refute_13_324,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_13_317,refute_13_323]) ).
cnf(refute_13_325,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_13_326,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_13_324,refute_13_325]) ).
cnf(refute_13_327,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_13_328,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_327]) ).
cnf(refute_13_329,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_13_328,refute_13_316]) ).
cnf(refute_13_330,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_13_315,refute_13_329]) ).
cnf(refute_13_331,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_13_330,refute_13_314]) ).
cnf(refute_13_332,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_13_78]) ).
cnf(refute_13_333,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_13_334,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_333]) ).
cnf(refute_13_335,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_13_334,refute_13_332]) ).
cnf(refute_13_336,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_13_331,refute_13_335]) ).
cnf(refute_13_337,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_13_336,refute_13_313]) ).
cnf(refute_13_338,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_13_79]) ).
cnf(refute_13_339,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_13_80]) ).
cnf(refute_13_340,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_81]) ).
cnf(refute_13_341,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_13_342,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_182,refute_13_341]) ).
cnf(refute_13_343,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_13_342,refute_13_340]) ).
cnf(refute_13_344,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_13_339,refute_13_343]) ).
cnf(refute_13_345,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_13_82]) ).
cnf(refute_13_346,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_347,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_293,refute_13_346]) ).
cnf(refute_13_348,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_13_347,refute_13_345]) ).
cnf(refute_13_349,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_13_344,refute_13_348]) ).
cnf(refute_13_350,plain,
( op1(e13,e10) != e12
| op1(e13,e11) != e12
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_13_351,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e11)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_13_349,refute_13_350]) ).
cnf(refute_13_352,plain,
( op1(e13,e10) != e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_13_351,refute_13_338]) ).
cnf(refute_13_353,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_13_83]) ).
cnf(refute_13_354,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_13_355,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_356,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_13_354,refute_13_355]) ).
cnf(refute_13_357,plain,
op2(h4(e13),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_356]) ).
cnf(refute_13_358,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_13_359,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e21,h4(e10))) )],[refute_13_357,refute_13_358]) ).
cnf(refute_13_360,plain,
h4(op1(e13,e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_13_353,refute_13_359]) ).
cnf(refute_13_361,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_13_84]) ).
cnf(refute_13_362,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_85]) ).
cnf(refute_13_363,plain,
( op1(e13,e10) != e10
| op1(e13,e12) != e10
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_13_364,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_182,refute_13_363]) ).
cnf(refute_13_365,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_13_364,refute_13_362]) ).
cnf(refute_13_366,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_13_361,refute_13_365]) ).
cnf(refute_13_367,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_13_86]) ).
cnf(refute_13_368,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_369,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_293,refute_13_368]) ).
cnf(refute_13_370,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_13_369,refute_13_367]) ).
cnf(refute_13_371,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_13_366,refute_13_370]) ).
cnf(refute_13_372,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op1(e13,e10) != e13
| h4(e13) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_373,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(e13) = op2(e21,h4(e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_13_371,refute_13_372]) ).
cnf(refute_13_374,plain,
( h4(e13) = op2(e21,h4(e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_13_360,refute_13_373]) ).
cnf(refute_13_375,plain,
( h4(e13) != e21
| h4(e13) != op2(e21,h4(e10))
| e21 = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,h4(e10))) ),[0],$fot(e21)]]) ).
cnf(refute_13_376,plain,
( h4(e13) != op2(e21,h4(e10))
| e21 = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_375]) ).
cnf(refute_13_377,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = h4(op1(e13,e10)) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(op2(e21,h4(e10))))]]) ).
cnf(refute_13_378,plain,
op2(e21,h4(e10)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_13_360,refute_13_377]) ).
cnf(refute_13_379,plain,
( e21 != op2(e21,h4(e10))
| op2(e21,h4(e10)) != h4(op1(e13,e10))
| e21 = h4(op1(e13,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e13,e10))) ),[0],$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_13_380,plain,
( e21 != op2(e21,h4(e10))
| e21 = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),h4(op1(e13,e10))) )],[refute_13_378,refute_13_379]) ).
cnf(refute_13_381,plain,
( h4(e13) != op2(e21,h4(e10))
| e21 = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h4(e10))) )],[refute_13_376,refute_13_380]) ).
cnf(refute_13_382,plain,
( e21 = h4(op1(e13,e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,h4(e10))) )],[refute_13_374,refute_13_381]) ).
cnf(refute_13_383,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_13_88]) ).
cnf(refute_13_384,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_13_90]) ).
cnf(refute_13_385,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_13_384,refute_13_10]) ).
cnf(refute_13_386,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_91]) ).
cnf(refute_13_387,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_388,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_387]) ).
cnf(refute_13_389,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_13_388,refute_13_386]) ).
cnf(refute_13_390,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_13_391,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_13_390,refute_13_389]) ).
cnf(refute_13_392,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_13_385,refute_13_391]) ).
cnf(refute_13_393,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_392,refute_13_47]) ).
cnf(refute_13_394,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_13_395,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_394]) ).
cnf(refute_13_396,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_13_393,refute_13_395]) ).
cnf(refute_13_397,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_396,refute_13_49]) ).
cnf(refute_13_398,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_13_399,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_13_397,refute_13_398]) ).
cnf(refute_13_400,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_13_399,refute_13_383]) ).
cnf(refute_13_401,plain,
( h4(e10) != e23
| h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_402,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_400,refute_13_401]) ).
cnf(refute_13_403,plain,
( h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_13_360,refute_13_402]) ).
cnf(refute_13_404,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e13,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_13_405,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| h4(op1(e13,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_404]) ).
cnf(refute_13_406,plain,
( h4(op1(e13,e10)) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e23)) )],[refute_13_403,refute_13_405]) ).
cnf(refute_13_407,plain,
( e21 != h4(op1(e13,e10))
| h4(op1(e13,e10)) != h4(e10)
| e21 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e10)) ),[0],$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_13_408,plain,
( e21 != h4(op1(e13,e10))
| e21 = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e10)) )],[refute_13_406,refute_13_407]) ).
cnf(refute_13_409,plain,
( e21 = h4(e10)
| op1(e13,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e10))) )],[refute_13_382,refute_13_408]) ).
cnf(refute_13_410,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_92]) ).
cnf(refute_13_411,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_412,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_411]) ).
cnf(refute_13_413,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_13_412,refute_13_410]) ).
cnf(refute_13_414,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_415,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_414]) ).
cnf(refute_13_416,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_417,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_416]) ).
cnf(refute_13_418,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_13_417,refute_13_415]) ).
cnf(refute_13_419,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_13_418,refute_13_413]) ).
cnf(refute_13_420,plain,
( e21 != h4(e10)
| h4(e10) = e21 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_13_421,plain,
e21 != h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_13_420,refute_13_419]) ).
cnf(refute_13_422,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_13_409,refute_13_421]) ).
cnf(refute_13_423,plain,
( e12 != e12
| op1(e13,e10) != e12
| op1(e13,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_13_424,plain,
( e12 != e12
| op1(e13,e10) = e12
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_422,refute_13_423]) ).
cnf(refute_13_425,plain,
( e12 != e12
| op1(e13,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_424,refute_13_352]) ).
cnf(refute_13_426,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_13_427,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_13_426,refute_13_425]) ).
cnf(refute_13_428,plain,
( h4(e13) != op2(e21,h2(e13))
| op1(e13,e11) != e13
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_429,plain,
( h4(e13) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_427,refute_13_428]) ).
cnf(refute_13_430,plain,
( h4(e13) != op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_13_429,refute_13_259]) ).
cnf(refute_13_431,plain,
( e21 != op2(e21,h2(e13))
| h4(e13) != e21
| h4(e13) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_13_432,plain,
( e21 != op2(e21,h2(e13))
| h4(e13) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_431]) ).
cnf(refute_13_433,plain,
( e21 != op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,h2(e13))) )],[refute_13_432,refute_13_430]) ).
cnf(refute_13_434,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_13_93]) ).
cnf(refute_13_435,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_436,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_437,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_13_435,refute_13_436]) ).
cnf(refute_13_438,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_437]) ).
cnf(refute_13_439,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_440,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_13_438,refute_13_439]) ).
cnf(refute_13_441,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_13_434,refute_13_440]) ).
cnf(refute_13_442,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_443,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_400,refute_13_442]) ).
cnf(refute_13_444,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_13_441,refute_13_443]) ).
cnf(refute_13_445,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_13_446,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_59,refute_13_445]) ).
cnf(refute_13_447,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_13_444,refute_13_446]) ).
cnf(refute_13_448,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_13_94]) ).
cnf(refute_13_449,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_13_448,refute_13_219]) ).
cnf(refute_13_450,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_95]) ).
cnf(refute_13_451,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_13_452,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_182,refute_13_451]) ).
cnf(refute_13_453,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_13_452,refute_13_450]) ).
cnf(refute_13_454,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_13_449,refute_13_453]) ).
cnf(refute_13_455,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_456,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_13_454,refute_13_455]) ).
cnf(refute_13_457,plain,
( h4(e12) = op2(h4(e10),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_13_441,refute_13_456]) ).
cnf(refute_13_458,plain,
( h4(e12) != e23
| h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_13_459,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_458]) ).
cnf(refute_13_460,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| op2(h4(e10),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h4(e10),e23)))]]) ).
cnf(refute_13_461,plain,
op2(h4(e10),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_13_441,refute_13_460]) ).
cnf(refute_13_462,plain,
( e23 != op2(h4(e10),e23)
| op2(h4(e10),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h4(e10),e23))]]) ).
cnf(refute_13_463,plain,
( e23 != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e23),h4(op1(e10,e12))) )],[refute_13_461,refute_13_462]) ).
cnf(refute_13_464,plain,
( h4(e12) != op2(h4(e10),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e10),e23)) )],[refute_13_459,refute_13_463]) ).
cnf(refute_13_465,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h4(e10),e23)) )],[refute_13_457,refute_13_464]) ).
cnf(refute_13_466,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_13_467,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_13_447,refute_13_466]) ).
cnf(refute_13_468,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_13_465,refute_13_467]) ).
cnf(refute_13_469,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_13_470,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_469,refute_13_49]) ).
cnf(refute_13_471,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_13_468,refute_13_470]) ).
cnf(refute_13_472,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_473,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_13_471,refute_13_472]) ).
cnf(refute_13_474,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_13_447,refute_13_473]) ).
cnf(refute_13_475,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_476,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_475]) ).
cnf(refute_13_477,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_474,refute_13_476]) ).
cnf(refute_13_478,plain,
( e21 != op2(e21,e21)
| h2(e13) != e21
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_479,plain,
( e21 != op2(e21,e21)
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_477,refute_13_478]) ).
cnf(refute_13_480,plain,
( e21 != op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_13_479,refute_13_433]) ).
cnf(refute_13_481,plain,
( e21 != h2(e13)
| op2(e21,e21) != h2(e13)
| e21 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_13_482,plain,
( e21 != h2(e13)
| e21 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_481]) ).
cnf(refute_13_483,plain,
( e21 != h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e21)) )],[refute_13_482,refute_13_480]) ).
cnf(refute_13_484,plain,
( e21 != e21
| h2(e13) != e21
| e21 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_485,plain,
( e21 != e21
| e21 = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_477,refute_13_484]) ).
cnf(refute_13_486,plain,
( e21 != e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_13_485,refute_13_483]) ).
cnf(refute_13_487,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_486]) ).
cnf(refute_13_488,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_13_487,refute_13_337]) ).
cnf(refute_13_489,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_13_104]) ).
cnf(refute_13_490,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_13_105]) ).
cnf(refute_13_491,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_13_492,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_493,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_491,refute_13_492]) ).
cnf(refute_13_494,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_493]) ).
cnf(refute_13_495,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_13_496,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_13_497,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_495,refute_13_496]) ).
cnf(refute_13_498,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_497]) ).
cnf(refute_13_499,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_13_500,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_498,refute_13_499]) ).
cnf(refute_13_501,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_494,refute_13_500]) ).
cnf(refute_13_502,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_13_503,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_501,refute_13_502]) ).
cnf(refute_13_504,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_490,refute_13_503]) ).
cnf(refute_13_505,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_13_106]) ).
cnf(refute_13_506,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_13_507,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_508,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_13_506,refute_13_507]) ).
cnf(refute_13_509,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_508]) ).
cnf(refute_13_510,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_13_511,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_13_509,refute_13_510]) ).
cnf(refute_13_512,plain,
h4(op1(e12,e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_13_505,refute_13_511]) ).
cnf(refute_13_513,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_13_107]) ).
cnf(refute_13_514,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_13_515,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_516,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_13_514,refute_13_515]) ).
cnf(refute_13_517,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_516]) ).
cnf(refute_13_518,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_13_519,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_520,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_13_518,refute_13_519]) ).
cnf(refute_13_521,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_520]) ).
cnf(refute_13_522,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_523,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_13_521,refute_13_522]) ).
cnf(refute_13_524,plain,
op2(h4(e12),h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_13_517,refute_13_523]) ).
cnf(refute_13_525,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_13_526,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e21)) )],[refute_13_524,refute_13_525]) ).
cnf(refute_13_527,plain,
h4(op1(e12,e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_13_513,refute_13_526]) ).
cnf(refute_13_528,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_13_108]) ).
cnf(refute_13_529,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_13_120]) ).
cnf(refute_13_530,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_13_122]) ).
cnf(refute_13_531,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_13_530,refute_13_391]) ).
cnf(refute_13_532,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_13_124]) ).
cnf(refute_13_533,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_534,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_13_535,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_13_533,refute_13_534]) ).
cnf(refute_13_536,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_535]) ).
cnf(refute_13_537,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_13_538,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_13_536,refute_13_537]) ).
cnf(refute_13_539,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_13_538,refute_13_532]) ).
cnf(refute_13_540,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_13_541,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_13_517,refute_13_540]) ).
cnf(refute_13_542,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_13_541,refute_13_539]) ).
cnf(refute_13_543,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_13_125]) ).
cnf(refute_13_544,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_13_545,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_543,refute_13_544]) ).
cnf(refute_13_546,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_545,refute_13_542]) ).
cnf(refute_13_547,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_13_548,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_546]) ).
cnf(refute_13_549,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_13_548,refute_13_531]) ).
cnf(refute_13_550,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_13_529,refute_13_549]) ).
cnf(refute_13_551,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_13_127]) ).
cnf(refute_13_552,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_13_553,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_552]) ).
cnf(refute_13_554,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_13_551,refute_13_553]) ).
cnf(refute_13_555,plain,
e20 != e22,
inference(canonicalize,[],[normalize_13_128]) ).
cnf(refute_13_556,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_554,refute_13_555]) ).
cnf(refute_13_557,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_13_550,refute_13_556]) ).
cnf(refute_13_558,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_559,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_13_557,refute_13_558]) ).
cnf(refute_13_560,plain,
( e23 != op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_13_559,refute_13_528]) ).
cnf(refute_13_561,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_13_129]) ).
cnf(refute_13_562,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_130]) ).
cnf(refute_13_563,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_13_564,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_563]) ).
cnf(refute_13_565,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_13_564,refute_13_562]) ).
cnf(refute_13_566,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_13_567,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_13_566,refute_13_565]) ).
cnf(refute_13_568,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_13_561,refute_13_567]) ).
cnf(refute_13_569,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_13_131]) ).
cnf(refute_13_570,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_571,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_293,refute_13_570]) ).
cnf(refute_13_572,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_13_571,refute_13_569]) ).
cnf(refute_13_573,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_568,refute_13_572]) ).
cnf(refute_13_574,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e12
| h4(e12) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_575,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e12) = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_573,refute_13_574]) ).
cnf(refute_13_576,plain,
( h4(e12) = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_13_527,refute_13_575]) ).
cnf(refute_13_577,plain,
( h4(e12) != e23
| h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e23,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_13_578,plain,
( h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_577]) ).
cnf(refute_13_579,plain,
( e23 = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_13_576,refute_13_578]) ).
cnf(refute_13_580,plain,
( e23 != op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_581,plain,
( op1(e12,e13) = e10
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_13_579,refute_13_580]) ).
cnf(refute_13_582,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_13_583,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_581,refute_13_582]) ).
cnf(refute_13_584,plain,
( e23 != e23
| op1(e12,e13) = e10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_13_583,refute_13_560]) ).
cnf(refute_13_585,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_584]) ).
cnf(refute_13_586,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e10
| h4(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_13_587,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_585,refute_13_586]) ).
cnf(refute_13_588,plain,
( h4(e10) = op2(e23,e21)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_13_527,refute_13_587]) ).
cnf(refute_13_589,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_13_133]) ).
cnf(refute_13_590,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_13_134]) ).
cnf(refute_13_591,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_13_592,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_591]) ).
cnf(refute_13_593,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_13_592,refute_13_590]) ).
cnf(refute_13_594,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_13_589,refute_13_593]) ).
cnf(refute_13_595,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_13_594,refute_13_233]) ).
cnf(refute_13_596,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_595,refute_13_582]) ).
cnf(refute_13_597,plain,
( e23 != e23
| op2(e23,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_13_596,refute_13_560]) ).
cnf(refute_13_598,plain,
( op2(e23,e21) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_597]) ).
cnf(refute_13_599,plain,
( h4(e10) != op2(e23,e21)
| op2(e23,e21) != e22
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e22) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_13_600,plain,
( h4(e10) != op2(e23,e21)
| h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_13_598,refute_13_599]) ).
cnf(refute_13_601,plain,
( h4(e10) = e22
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_13_588,refute_13_600]) ).
cnf(refute_13_602,plain,
( h4(e10) != e22
| h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_13_603,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e10)) = op2(e23,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_13_601,refute_13_602]) ).
cnf(refute_13_604,plain,
( h4(op1(e12,e10)) = op2(e23,e22)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_13_512,refute_13_603]) ).
cnf(refute_13_605,plain,
( h4(op1(e12,e10)) != op2(e23,e22)
| op2(e23,e22) != e20
| h4(op1(e12,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_13_606,plain,
( h4(op1(e12,e10)) != op2(e23,e22)
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_605]) ).
cnf(refute_13_607,plain,
( h4(op1(e12,e10)) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,e22)) )],[refute_13_604,refute_13_606]) ).
cnf(refute_13_608,plain,
( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_13_135]) ).
cnf(refute_13_609,plain,
( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_13_608,refute_13_549]) ).
cnf(refute_13_610,plain,
( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_13_609,refute_13_556]) ).
cnf(refute_13_611,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_136]) ).
cnf(refute_13_612,plain,
( op1(e12,e10) != e10
| op1(e12,e13) != e10
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_13_613,plain,
( op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e13)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_573,refute_13_612]) ).
cnf(refute_13_614,plain,
( op1(e12,e10) != e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_13_613,refute_13_611]) ).
cnf(refute_13_615,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_13_137]) ).
cnf(refute_13_616,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_138]) ).
cnf(refute_13_617,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_618,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_167,refute_13_617]) ).
cnf(refute_13_619,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_13_618,refute_13_616]) ).
cnf(refute_13_620,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_13_615,refute_13_619]) ).
cnf(refute_13_621,plain,
( e10 != e10
| op1(e12,e10) != e10
| op1(e12,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_13_622,plain,
( e10 != e10
| op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_13_620,refute_13_621]) ).
cnf(refute_13_623,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_13_622,refute_13_614]) ).
cnf(refute_13_624,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_13_625,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_13_624,refute_13_623]) ).
cnf(refute_13_626,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e12) = op2(e23,e21)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_625,refute_13_574]) ).
cnf(refute_13_627,plain,
( h4(e12) = op2(e23,e21)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_13_527,refute_13_626]) ).
cnf(refute_13_628,plain,
( e23 = op2(e23,e21)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_13_627,refute_13_578]) ).
cnf(refute_13_629,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_13_139]) ).
cnf(refute_13_630,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_13_631,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_630]) ).
cnf(refute_13_632,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_13_629,refute_13_631]) ).
cnf(refute_13_633,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_13_634,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_633]) ).
cnf(refute_13_635,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_13_632,refute_13_634]) ).
cnf(refute_13_636,plain,
( e20 = e22
| e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_13_635,refute_13_553]) ).
cnf(refute_13_637,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_636,refute_13_555]) ).
cnf(refute_13_638,plain,
e21 != e22,
inference(canonicalize,[],[normalize_13_140]) ).
cnf(refute_13_639,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_637,refute_13_638]) ).
cnf(refute_13_640,plain,
( e23 != op2(e23,e21)
| op2(e23,e21) != e22
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e22) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_13_641,plain,
( e23 != op2(e23,e21)
| e23 = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_13_639,refute_13_640]) ).
cnf(refute_13_642,plain,
( e23 = e22
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_13_628,refute_13_641]) ).
cnf(refute_13_643,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_642,refute_13_21]) ).
cnf(refute_13_644,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e20
| op2(e23,op2(e23,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e20)),e20) ),[0,1],$fot(e22)]]) ).
cnf(refute_13_645,plain,
( op2(e23,e22) != e20
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op2(e23,op2(e23,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_13_643,refute_13_644]) ).
cnf(refute_13_646,plain,
( op2(e23,e22) != e20
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e20)),e20) )],[refute_13_645,refute_13_610]) ).
cnf(refute_13_647,plain,
( e20 != e20
| op2(e23,e22) != e20
| op2(e23,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[1],$fot(e20)]]) ).
cnf(refute_13_648,plain,
( e20 != e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_647]) ).
cnf(refute_13_649,plain,
( e20 != e20
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_648,refute_13_646]) ).
cnf(refute_13_650,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_112,refute_13_649]) ).
cnf(refute_13_651,plain,
( h4(op1(e12,e10)) != e20
| op1(e12,e10) != e12
| h4(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_652,plain,
( h4(op1(e12,e10)) != e20
| h4(e12) = e20
| op1(e12,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_13_650,refute_13_651]) ).
cnf(refute_13_653,plain,
( h4(e12) = e20
| op1(e12,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_13_607,refute_13_652]) ).
cnf(refute_13_654,plain,
( h4(e12) != e20
| h4(e12) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e20) ),[0],$fot(e23)]]) ).
cnf(refute_13_655,plain,
( h4(e12) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_654]) ).
cnf(refute_13_656,plain,
( e23 = e20
| op1(e12,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_13_653,refute_13_655]) ).
cnf(refute_13_657,plain,
e20 != e23,
inference(canonicalize,[],[normalize_13_141]) ).
cnf(refute_13_658,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_13_659,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_658,refute_13_657]) ).
cnf(refute_13_660,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_13_656,refute_13_659]) ).
cnf(refute_13_661,plain,
( h4(op1(e12,e10)) != e20
| op1(e12,e10) != e11
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_662,plain,
( h4(op1(e12,e10)) != e20
| h4(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_13_660,refute_13_661]) ).
cnf(refute_13_663,plain,
( h4(e11) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_13_607,refute_13_662]) ).
cnf(refute_13_664,plain,
( h4(e11) != e20
| h4(e11) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_665,plain,
( h4(e11) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_76,refute_13_664]) ).
cnf(refute_13_666,plain,
( h2(e13) = e20
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_663,refute_13_665]) ).
cnf(refute_13_667,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_668,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_666,refute_13_667]) ).
cnf(refute_13_669,plain,
( h2(e11) = op2(h2(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_13_504,refute_13_668]) ).
cnf(refute_13_670,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_671,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_666,refute_13_670]) ).
cnf(refute_13_672,plain,
( h2(e11) = op2(e20,h2(e13))
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_13_504,refute_13_671]) ).
cnf(refute_13_673,plain,
( h2(e11) != op2(e20,h2(e13))
| h2(e13) != e20
| h2(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_674,plain,
( h2(e11) != op2(e20,h2(e13))
| h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_666,refute_13_673]) ).
cnf(refute_13_675,plain,
( h2(e11) = op2(e20,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,h2(e13))) )],[refute_13_672,refute_13_674]) ).
cnf(refute_13_676,plain,
( h2(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h2(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_13_677,plain,
( h2(e11) != op2(e20,e20)
| h2(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_676]) ).
cnf(refute_13_678,plain,
( h2(e11) = h1(e13)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e20)) )],[refute_13_675,refute_13_677]) ).
cnf(refute_13_679,plain,
( h2(e11) != h1(e13)
| h2(e11) != op2(h2(e13),e20)
| h1(e13) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_680,plain,
( h2(e11) != op2(h2(e13),e20)
| h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_13_678,refute_13_679]) ).
cnf(refute_13_681,plain,
( h1(e13) = op2(h2(e13),e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e20)) )],[refute_13_669,refute_13_680]) ).
cnf(refute_13_682,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_13_142]) ).
cnf(refute_13_683,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_13_143]) ).
cnf(refute_13_684,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_13_683,refute_13_549]) ).
cnf(refute_13_685,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_13_684,refute_13_556]) ).
cnf(refute_13_686,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_13_687,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_13_685,refute_13_686]) ).
cnf(refute_13_688,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_13_687,refute_13_682]) ).
cnf(refute_13_689,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_13_144]) ).
cnf(refute_13_690,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_13_689,refute_13_549]) ).
cnf(refute_13_691,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_13_690,refute_13_556]) ).
cnf(refute_13_692,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_13_145]) ).
cnf(refute_13_693,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_694,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_693]) ).
cnf(refute_13_695,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_13_692,refute_13_694]) ).
cnf(refute_13_696,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_13_146]) ).
cnf(refute_13_697,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_13_698,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_697]) ).
cnf(refute_13_699,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_13_698,refute_13_696]) ).
cnf(refute_13_700,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_13_695,refute_13_699]) ).
cnf(refute_13_701,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_13_702,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_700,refute_13_701]) ).
cnf(refute_13_703,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_13_702,refute_13_691]) ).
cnf(refute_13_704,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_13_705,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_59,refute_13_704]) ).
cnf(refute_13_706,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_705,refute_13_703]) ).
cnf(refute_13_707,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_706]) ).
cnf(refute_13_708,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_13_709,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_13_707,refute_13_708]) ).
cnf(refute_13_710,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_13_709,refute_13_688]) ).
cnf(refute_13_711,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_710]) ).
cnf(refute_13_712,plain,
( h1(e13) != op2(h2(e13),e20)
| h2(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_713,plain,
( h1(e13) != op2(h2(e13),e20)
| h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_13_711,refute_13_712]) ).
cnf(refute_13_714,plain,
( h1(e13) = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h2(e13),e20)) )],[refute_13_681,refute_13_713]) ).
cnf(refute_13_715,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_13_147]) ).
cnf(refute_13_716,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_13_717,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_716]) ).
cnf(refute_13_718,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_13_717,refute_13_715]) ).
cnf(refute_13_719,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_13_714,refute_13_718]) ).
cnf(refute_13_720,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_13_719,refute_13_489]) ).
cnf(refute_13_721,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_13_149]) ).
cnf(refute_13_722,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_13_723,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_722]) ).
cnf(refute_13_724,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_13_721,refute_13_723]) ).
cnf(refute_13_725,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_13_724,refute_13_419]) ).
cnf(refute_13_726,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_150]) ).
cnf(refute_13_727,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_728,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_727]) ).
cnf(refute_13_729,plain,
h4(e10) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_13_728,refute_13_726]) ).
cnf(refute_13_730,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_13_152]) ).
cnf(refute_13_731,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_13_153]) ).
cnf(refute_13_732,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_13_731,refute_13_391]) ).
cnf(refute_13_733,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_154]) ).
cnf(refute_13_734,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_735,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_734]) ).
cnf(refute_13_736,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_13_735,refute_13_733]) ).
cnf(refute_13_737,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_738,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_737]) ).
cnf(refute_13_739,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_13_738,refute_13_736]) ).
cnf(refute_13_740,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_732,refute_13_739]) ).
cnf(refute_13_741,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_13_742,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_13_740,refute_13_741]) ).
cnf(refute_13_743,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_13_742,refute_13_730]) ).
cnf(refute_13_744,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_13_745,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_744]) ).
cnf(refute_13_746,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_745,refute_13_743]) ).
cnf(refute_13_747,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_746]) ).
cnf(refute_13_748,plain,
( h4(e10) != e20
| op2(e22,e23) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_13_749,plain,
( h4(e10) != e20
| h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_13_747,refute_13_748]) ).
cnf(refute_13_750,plain,
( h4(e10) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_13_749,refute_13_729]) ).
cnf(refute_13_751,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_13_155]) ).
cnf(refute_13_752,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_753,plain,
( op2(e21,e22) != h4(e10)
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_752]) ).
cnf(refute_13_754,plain,
op2(e21,e22) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_13_753,refute_13_751]) ).
cnf(refute_13_755,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_13_156]) ).
cnf(refute_13_756,plain,
( e22 != h4(e10)
| op2(e21,e22) != e22
| op2(e21,e22) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_757,plain,
( e22 != h4(e10)
| op2(e21,e22) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_13_755,refute_13_756]) ).
cnf(refute_13_758,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_13_757,refute_13_754]) ).
cnf(refute_13_759,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_13_157]) ).
cnf(refute_13_760,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_13_761,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_760]) ).
cnf(refute_13_762,plain,
( h4(e10) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_13_759,refute_13_761]) ).
cnf(refute_13_763,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_13_762,refute_13_723]) ).
cnf(refute_13_764,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_13_765,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_764]) ).
cnf(refute_13_766,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_763,refute_13_765]) ).
cnf(refute_13_767,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_13_766,refute_13_395]) ).
cnf(refute_13_768,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_13_767,refute_13_419]) ).
cnf(refute_13_769,plain,
( e22 != e22
| h4(e10) != e22
| e22 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_13_770,plain,
( e22 != e22
| e22 = h4(e10)
| h4(e10) = e20
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_13_768,refute_13_769]) ).
cnf(refute_13_771,plain,
( e22 != e22
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_13_770,refute_13_758]) ).
cnf(refute_13_772,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_13_773,plain,
( h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_771]) ).
cnf(refute_13_774,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_13_775,plain,
( e20 != e20
| h4(e10) = e20
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_773,refute_13_774]) ).
cnf(refute_13_776,plain,
( e20 != e20
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_775,refute_13_750]) ).
cnf(refute_13_777,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_112,refute_13_776]) ).
cnf(refute_13_778,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_777,refute_13_401]) ).
cnf(refute_13_779,plain,
( h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_13_360,refute_13_778]) ).
cnf(refute_13_780,plain,
( h4(op1(e13,e10)) = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e23)) )],[refute_13_779,refute_13_405]) ).
cnf(refute_13_781,plain,
( e21 != h4(op1(e13,e10))
| e21 = h4(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e10)) )],[refute_13_780,refute_13_407]) ).
cnf(refute_13_782,plain,
( e21 = h4(e10)
| op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e10))) )],[refute_13_382,refute_13_781]) ).
cnf(refute_13_783,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_13_782,refute_13_421]) ).
cnf(refute_13_784,plain,
( e12 != e12
| op1(e13,e10) = e12
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_783,refute_13_423]) ).
cnf(refute_13_785,plain,
( e12 != e12
| op1(e13,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_784,refute_13_352]) ).
cnf(refute_13_786,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_13_426,refute_13_785]) ).
cnf(refute_13_787,plain,
( h4(e13) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_786,refute_13_428]) ).
cnf(refute_13_788,plain,
( h4(e13) != op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_13_787,refute_13_259]) ).
cnf(refute_13_789,plain,
( e21 != op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,h2(e13))) )],[refute_13_432,refute_13_788]) ).
cnf(refute_13_790,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_777,refute_13_442]) ).
cnf(refute_13_791,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_13_441,refute_13_790]) ).
cnf(refute_13_792,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_13_791,refute_13_446]) ).
cnf(refute_13_793,plain,
( e23 != h4(op1(e10,e12))
| e23 = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_13_792,refute_13_466]) ).
cnf(refute_13_794,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_13_465,refute_13_793]) ).
cnf(refute_13_795,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_13_794,refute_13_470]) ).
cnf(refute_13_796,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_13_795,refute_13_472]) ).
cnf(refute_13_797,plain,
( h4(e11) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_13_792,refute_13_796]) ).
cnf(refute_13_798,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_797,refute_13_476]) ).
cnf(refute_13_799,plain,
( e21 != op2(e21,e21)
| e21 = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_798,refute_13_478]) ).
cnf(refute_13_800,plain,
( e21 != op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_13_799,refute_13_789]) ).
cnf(refute_13_801,plain,
( e21 != h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e21)) )],[refute_13_482,refute_13_800]) ).
cnf(refute_13_802,plain,
( e21 != e21
| e21 = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_798,refute_13_484]) ).
cnf(refute_13_803,plain,
( e21 != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_13_802,refute_13_801]) ).
cnf(refute_13_804,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_803]) ).
cnf(refute_13_805,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_13_804,refute_13_725]) ).
cnf(refute_13_806,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_13_805,refute_13_720]) ).
cnf(refute_13_807,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_13_159]) ).
cnf(refute_13_808,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_13_160]) ).
cnf(refute_13_809,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_13_161]) ).
cnf(refute_13_810,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_13_811,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_810]) ).
cnf(refute_13_812,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_13_809,refute_13_811]) ).
cnf(refute_13_813,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_13_812,refute_13_470]) ).
cnf(refute_13_814,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_813,refute_13_739]) ).
cnf(refute_13_815,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_13_816,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_13_814,refute_13_815]) ).
cnf(refute_13_817,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_13_816,refute_13_808]) ).
cnf(refute_13_818,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_13_819,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_13_817,refute_13_818]) ).
cnf(refute_13_820,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_13_807,refute_13_819]) ).
cnf(refute_13_821,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_820,refute_13_638]) ).
cnf(refute_13_822,plain,
( op2(e21,op2(e21,e22)) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_13_821,refute_13_806]) ).
cnf(refute_13_823,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_13_162]) ).
cnf(refute_13_824,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_13_719,refute_13_823]) ).
cnf(refute_13_825,plain,
( ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_13_821,refute_13_824]) ).
cnf(refute_13_826,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_13_805,refute_13_825]) ).
cnf(refute_13_827,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_13_828,plain,
( op2(e21,e21) != e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_826,refute_13_827]) ).
cnf(refute_13_829,plain,
( op2(e21,e21) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_13_828,refute_13_822]) ).
cnf(refute_13_830,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_13_831,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_830]) ).
cnf(refute_13_832,plain,
( h2(e13) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_13_831,refute_13_829]) ).
cnf(refute_13_833,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_13_163]) ).
cnf(refute_13_834,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_835,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_834]) ).
cnf(refute_13_836,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_833,refute_13_835]) ).
cnf(refute_13_837,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_838,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_837]) ).
cnf(refute_13_839,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_13_836,refute_13_838]) ).
cnf(refute_13_840,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_13_839,refute_13_17]) ).
cnf(refute_13_841,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_13_840,refute_13_631]) ).
cnf(refute_13_842,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_841,refute_13_21]) ).
cnf(refute_13_843,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_13_842,refute_13_634]) ).
cnf(refute_13_844,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_843,refute_13_638]) ).
cnf(refute_13_845,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_13_164]) ).
cnf(refute_13_846,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_13_847,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_846]) ).
cnf(refute_13_848,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_13_847,refute_13_845]) ).
cnf(refute_13_849,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_13_165]) ).
cnf(refute_13_850,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_13_166]) ).
cnf(refute_13_851,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_13_852,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_851]) ).
cnf(refute_13_853,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_13_852,refute_13_850]) ).
cnf(refute_13_854,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_13_849,refute_13_853]) ).
cnf(refute_13_855,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_13_854,refute_13_329]) ).
cnf(refute_13_856,plain,
( h1(e13) != e21
| op2(e20,e22) != e21
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_13_857,plain,
( h1(e13) != e21
| h1(e13) = op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_13_855,refute_13_856]) ).
cnf(refute_13_858,plain,
( h1(e13) != e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_13_857,refute_13_848]) ).
cnf(refute_13_859,plain,
( h1(e13) != e22
| ~ definitionFOFtoCNF_109 ),
inference(canonicalize,[],[normalize_13_169]) ).
cnf(refute_13_860,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_13_170]) ).
cnf(refute_13_861,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_13_860,refute_13_101]) ).
cnf(refute_13_862,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_863,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_862]) ).
cnf(refute_13_864,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_861,refute_13_863]) ).
cnf(refute_13_865,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_864,refute_13_835]) ).
cnf(refute_13_866,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_867,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_866]) ).
cnf(refute_13_868,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_13_865,refute_13_867]) ).
cnf(refute_13_869,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_13_870,plain,
( e22 != e22
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_868,refute_13_869]) ).
cnf(refute_13_871,plain,
( e22 != e22
| ~ definitionFOFtoCNF_109
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_870,refute_13_859]) ).
cnf(refute_13_872,plain,
( ~ definitionFOFtoCNF_109
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_871]) ).
cnf(refute_13_873,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_13_171]) ).
cnf(refute_13_874,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_13_312,refute_13_873]) ).
cnf(refute_13_875,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_13_336,refute_13_874]) ).
cnf(refute_13_876,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_13_487,refute_13_875]) ).
cnf(refute_13_877,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_13_172]) ).
cnf(refute_13_878,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_13_173]) ).
cnf(refute_13_879,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_13_880,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_15,refute_13_879]) ).
cnf(refute_13_881,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_13_880,refute_13_878]) ).
cnf(refute_13_882,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_13_877,refute_13_881]) ).
cnf(refute_13_883,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_13_174]) ).
cnf(refute_13_884,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_13_885,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_326,refute_13_884]) ).
cnf(refute_13_886,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_13_885,refute_13_883]) ).
cnf(refute_13_887,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_13_882,refute_13_886]) ).
cnf(refute_13_888,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_13_889,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_13_887,refute_13_888]) ).
cnf(refute_13_890,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_13_889,refute_13_876]) ).
cnf(refute_13_891,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_13_175]) ).
cnf(refute_13_892,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_893,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_892]) ).
cnf(refute_13_894,plain,
op2(e21,e20) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_13_893,refute_13_891]) ).
cnf(refute_13_895,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_13_176]) ).
cnf(refute_13_896,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_13_897,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_898,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_13_896,refute_13_897]) ).
cnf(refute_13_899,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_898]) ).
cnf(refute_13_900,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_13_901,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_13_899,refute_13_900]) ).
cnf(refute_13_902,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_13_895,refute_13_901]) ).
cnf(refute_13_903,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_13_177]) ).
cnf(refute_13_904,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_13_178]) ).
cnf(refute_13_905,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_13_719,refute_13_904]) ).
cnf(refute_13_906,plain,
( ~ definitionFOFtoCNF_24
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_13_821,refute_13_905]) ).
cnf(refute_13_907,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_13_805,refute_13_906]) ).
cnf(refute_13_908,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_13_909,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_13_907,refute_13_908]) ).
cnf(refute_13_910,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_13_909,refute_13_903]) ).
cnf(refute_13_911,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_13_179]) ).
cnf(refute_13_912,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_13_913,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_887,refute_13_912]) ).
cnf(refute_13_914,plain,
( op2(e20,e22) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_13_913,refute_13_911]) ).
cnf(refute_13_915,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_13_180]) ).
cnf(refute_13_916,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_915,refute_13_863]) ).
cnf(refute_13_917,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_181]) ).
cnf(refute_13_918,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_919,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_8,refute_13_918]) ).
cnf(refute_13_920,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_13_919,refute_13_917]) ).
cnf(refute_13_921,plain,
( h4(e13) != e21
| op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_13_922,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_45,refute_13_921]) ).
cnf(refute_13_923,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_13_922,refute_13_920]) ).
cnf(refute_13_924,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_13_916,refute_13_923]) ).
cnf(refute_13_925,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_13_926,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_13_924,refute_13_925]) ).
cnf(refute_13_927,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_13_926,refute_13_914]) ).
cnf(refute_13_928,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_927]) ).
cnf(refute_13_929,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_13_928,refute_13_888]) ).
cnf(refute_13_930,plain,
( h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_13_929,refute_13_822]) ).
cnf(refute_13_931,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_13_932,plain,
( e21 != e21
| h1(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_13_930,refute_13_931]) ).
cnf(refute_13_933,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_13_932,refute_13_910]) ).
cnf(refute_13_934,plain,
( h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_933]) ).
cnf(refute_13_935,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e21
| h1(e10) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_936,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_934,refute_13_935]) ).
cnf(refute_13_937,plain,
( h1(e10) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_13_902,refute_13_936]) ).
cnf(refute_13_938,plain,
( h1(e10) != op2(e21,e20)
| op2(e21,e20) = h1(e10) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_13_939,plain,
( op2(e21,e20) = h1(e10)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e20)) )],[refute_13_937,refute_13_938]) ).
cnf(refute_13_940,plain,
( h1(e10) != h4(e10)
| op2(e21,e20) != h1(e10)
| op2(e21,e20) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h1(e10)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_941,plain,
( h1(e10) != h4(e10)
| op2(e21,e20) = h4(e10)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e10)) )],[refute_13_939,refute_13_940]) ).
cnf(refute_13_942,plain,
( h1(e10) != h4(e10)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_13_941,refute_13_894]) ).
cnf(refute_13_943,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_13_182]) ).
cnf(refute_13_944,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_13_945,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_13_946,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_13_944,refute_13_945]) ).
cnf(refute_13_947,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_946]) ).
cnf(refute_13_948,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_13_949,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_950,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_948,refute_13_949]) ).
cnf(refute_13_951,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_91,refute_13_950]) ).
cnf(refute_13_952,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_13_953,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_13_951,refute_13_952]) ).
cnf(refute_13_954,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_13_947,refute_13_953]) ).
cnf(refute_13_955,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e11) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_13_956,plain,
( h1(e11) != op2(op2(e20,e20),op2(e20,e20))
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_13_954,refute_13_955]) ).
cnf(refute_13_957,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_943,refute_13_956]) ).
cnf(refute_13_958,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_959,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_934,refute_13_958]) ).
cnf(refute_13_960,plain,
( h1(e11) = op2(e21,h1(e13))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e13),h1(e13))) )],[refute_13_957,refute_13_959]) ).
cnf(refute_13_961,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e13) != e21
| h1(e11) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_962,plain,
( h1(e11) != op2(e21,h1(e13))
| h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_934,refute_13_961]) ).
cnf(refute_13_963,plain,
( h1(e11) = op2(e21,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e13))) )],[refute_13_960,refute_13_962]) ).
cnf(refute_13_964,plain,
( h1(e11) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h1(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_13_965,plain,
( h1(e11) != op2(e21,e21)
| h1(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_56,refute_13_964]) ).
cnf(refute_13_966,plain,
( h1(e11) = h2(e13)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e21)) )],[refute_13_963,refute_13_965]) ).
cnf(refute_13_967,plain,
( h1(e11) != h2(e13)
| h2(e13) = h1(e11) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_13_968,plain,
( h2(e13) = h1(e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),h2(e13)) )],[refute_13_966,refute_13_967]) ).
cnf(refute_13_969,plain,
( h1(e11) != e22
| h2(e13) != h1(e11)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h1(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_13_970,plain,
( h1(e11) != e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e11)) )],[refute_13_968,refute_13_969]) ).
cnf(refute_13_971,plain,
( h1(e11) != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_970,refute_13_832]) ).
cnf(refute_13_972,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_109 ),
inference(canonicalize,[],[normalize_13_183]) ).
cnf(refute_13_973,plain,
h1(e12) = e20,
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_974,plain,
( h1(e12) != e20
| h1(e12) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(e20)]]) ).
cnf(refute_13_975,plain,
( h1(e12) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_13_973,refute_13_974]) ).
cnf(refute_13_976,plain,
( e20 = e22
| h1(e10) = e22
| h1(e11) = e22
| h1(e13) = e22
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_13_972,refute_13_975]) ).
cnf(refute_13_977,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e13) = e22
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_976,refute_13_555]) ).
cnf(refute_13_978,plain,
( h1(e13) != e21
| h1(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_13_979,plain,
( h1(e13) != e22
| e21 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_934,refute_13_978]) ).
cnf(refute_13_980,plain,
( e21 = e22
| h1(e10) = e22
| h1(e11) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_977,refute_13_979]) ).
cnf(refute_13_981,plain,
( h1(e10) = e22
| h1(e11) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_980,refute_13_638]) ).
cnf(refute_13_982,plain,
( e22 != e22
| h1(e11) != e22
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_13_983,plain,
( e22 != e22
| h1(e10) = e22
| h1(e11) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_13_981,refute_13_982]) ).
cnf(refute_13_984,plain,
( e22 != e22
| h1(e10) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_13_983,refute_13_971]) ).
cnf(refute_13_985,plain,
( h1(e10) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_984]) ).
cnf(refute_13_986,plain,
( e22 != h4(e10)
| h1(e10) != e22
| h1(e10) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[1],$fot(h4(e10))]]) ).
cnf(refute_13_987,plain,
( e22 != h4(e10)
| h1(e10) = h4(e10)
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_13_985,refute_13_986]) ).
cnf(refute_13_988,plain,
( e22 != h4(e10)
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),h4(e10)) )],[refute_13_987,refute_13_942]) ).
cnf(refute_13_989,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_573,refute_13_586]) ).
cnf(refute_13_990,plain,
( h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_13_527,refute_13_989]) ).
cnf(refute_13_991,plain,
( h4(e10) != op2(e23,e21)
| op2(e23,e21) = h4(e10) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_992,plain,
( op1(e12,e13) = e12
| op2(e23,e21) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_13_990,refute_13_991]) ).
cnf(refute_13_993,plain,
( h4(e10) != e20
| op2(e23,e21) != h4(e10)
| op2(e23,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_13_994,plain,
( h4(e10) != e20
| op1(e12,e13) = e12
| op2(e23,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e10)) )],[refute_13_992,refute_13_993]) ).
cnf(refute_13_995,plain,
( h4(e10) != e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_13_994,refute_13_593]) ).
cnf(refute_13_996,plain,
( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_13_184]) ).
cnf(refute_13_997,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_13_998,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h4(e10))]]) ).
cnf(refute_13_999,plain,
( op2(e21,e23) != h4(e10)
| op2(e21,op2(e21,e23)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_13_997,refute_13_998]) ).
cnf(refute_13_1000,plain,
op2(e21,op2(e21,e23)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_159,refute_13_999]) ).
cnf(refute_13_1001,plain,
( op2(e21,h4(e10)) != h4(op1(e13,e10))
| op2(e21,op2(e21,e23)) != op2(e21,h4(e10))
| op2(e21,op2(e21,e23)) = h4(op1(e13,e10)) ),
inference(subst,[],[refute_13_34:[bind(X,$fot(op2(e21,op2(e21,e23)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(h4(op1(e13,e10))))]]) ).
cnf(refute_13_1002,plain,
( op2(e21,h4(e10)) != h4(op1(e13,e10))
| op2(e21,op2(e21,e23)) = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h4(e10))) )],[refute_13_1000,refute_13_1001]) ).
cnf(refute_13_1003,plain,
op2(e21,op2(e21,e23)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),h4(op1(e13,e10))) )],[refute_13_378,refute_13_1002]) ).
cnf(refute_13_1004,plain,
( h4(op1(e13,e10)) != e23
| op2(e21,op2(e21,e23)) != h4(op1(e13,e10))
| op2(e21,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),h4(op1(e13,e10))) ),[1],$fot(e23)]]) ).
cnf(refute_13_1005,plain,
( h4(op1(e13,e10)) != e23
| op2(e21,op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),h4(op1(e13,e10))) )],[refute_13_1003,refute_13_1004]) ).
cnf(refute_13_1006,plain,
( h4(op1(e13,e10)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),e23) )],[refute_13_1005,refute_13_996]) ).
cnf(refute_13_1007,plain,
( h4(op1(e13,e10)) != e23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_13_719,refute_13_1006]) ).
cnf(refute_13_1008,plain,
( h4(op1(e13,e10)) != e23
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_13_805,refute_13_1007]) ).
cnf(refute_13_1009,plain,
( h4(op1(e13,e10)) != e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_13_821,refute_13_1008]) ).
cnf(refute_13_1010,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e13,e10)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_13_768,refute_13_401]) ).
cnf(refute_13_1011,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e13,e10)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_13_360,refute_13_1010]) ).
cnf(refute_13_1012,plain,
( h4(e10) = e20
| h4(e10) = e22
| h4(op1(e13,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e23)) )],[refute_13_1011,refute_13_405]) ).
cnf(refute_13_1013,plain,
( e21 != h4(op1(e13,e10))
| e21 = h4(e10)
| h4(e10) = e20
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e10)) )],[refute_13_1012,refute_13_407]) ).
cnf(refute_13_1014,plain,
( e21 = h4(e10)
| h4(e10) = e20
| h4(e10) = e22
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e10))) )],[refute_13_382,refute_13_1013]) ).
cnf(refute_13_1015,plain,
( h4(e10) = e20
| h4(e10) = e22
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_13_1014,refute_13_421]) ).
cnf(refute_13_1016,plain,
( h4(e12) != e23
| op1(e13,e10) != e12
| h4(op1(e13,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),e23) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_1017,plain,
( h4(e12) != e23
| h4(e10) = e20
| h4(e10) = e22
| h4(op1(e13,e10)) = e23 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_13_1015,refute_13_1016]) ).
cnf(refute_13_1018,plain,
( h4(e12) != e23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e23) )],[refute_13_1017,refute_13_1009]) ).
cnf(refute_13_1019,plain,
( e23 != e23
| h4(e12) != e23
| h4(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e23)]]) ).
cnf(refute_13_1020,plain,
( e23 != e23
| h4(e12) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_132,refute_13_1019]) ).
cnf(refute_13_1021,plain,
( e23 != e23
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_1020,refute_13_1018]) ).
cnf(refute_13_1022,plain,
( h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_547,refute_13_1021]) ).
cnf(refute_13_1023,plain,
( e20 != e20
| h4(e10) = e20
| h4(e10) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_1022,refute_13_774]) ).
cnf(refute_13_1024,plain,
( e20 != e20
| h4(e10) = e22
| op1(e12,e13) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_1023,refute_13_995]) ).
cnf(refute_13_1025,plain,
( h4(e10) = e22
| op1(e12,e13) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_112,refute_13_1024]) ).
cnf(refute_13_1026,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_13_185]) ).
cnf(refute_13_1027,plain,
( e23 = e22
| op1(e12,e13) = e10
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_13_579,refute_13_641]) ).
cnf(refute_13_1028,plain,
( op1(e12,e13) = e10
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_1027,refute_13_21]) ).
cnf(refute_13_1029,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_13_1030,plain,
( op2(e21,e20) != e22
| op1(e12,e13) = e10
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_13_1028,refute_13_1029]) ).
cnf(refute_13_1031,plain,
( op2(e21,e20) != e22
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_13_1030,refute_13_1026]) ).
cnf(refute_13_1032,plain,
( h1(e10) != e22
| h1(e10) != op2(e21,e20)
| e22 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e21,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_13_1033,plain,
( h1(e10) != op2(e21,e20)
| e22 = op2(e21,e20)
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_13_985,refute_13_1032]) ).
cnf(refute_13_1034,plain,
( e22 = op2(e21,e20)
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e20)) )],[refute_13_937,refute_13_1033]) ).
cnf(refute_13_1035,plain,
( e22 != op2(e21,e20)
| op2(e21,e20) = e22 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_13_1036,plain,
( op2(e21,e20) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e20)) )],[refute_13_1034,refute_13_1035]) ).
cnf(refute_13_1037,plain,
( e22 != e22
| op2(e21,e20) != e22
| op2(e21,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_13_1038,plain,
( e22 != e22
| op2(e21,e20) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_13_1036,refute_13_1037]) ).
cnf(refute_13_1039,plain,
( e22 != e22
| op1(e12,e13) = e10
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_13_1038,refute_13_1031]) ).
cnf(refute_13_1040,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_1039]) ).
cnf(refute_13_1041,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_13_1042,plain,
( op1(e12,e13) != e12
| e10 = e12
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_1040,refute_13_1041]) ).
cnf(refute_13_1043,plain,
( e10 = e12
| h4(e10) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_1025,refute_13_1042]) ).
cnf(refute_13_1044,plain,
e10 != e12,
inference(canonicalize,[],[normalize_13_186]) ).
cnf(refute_13_1045,plain,
( h4(e10) = e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_1043,refute_13_1044]) ).
cnf(refute_13_1046,plain,
( e22 != e22
| e22 = h4(e10)
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_13_1045,refute_13_769]) ).
cnf(refute_13_1047,plain,
( e22 != e22
| definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_13_1046,refute_13_988]) ).
cnf(refute_13_1048,plain,
( definitionFOFtoCNF_109
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_1047]) ).
cnf(refute_13_1049,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_13_1048,refute_13_890]) ).
cnf(refute_13_1050,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_13_1051,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_1049,refute_13_1050]) ).
cnf(refute_13_1052,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_13_1051,refute_13_0]) ).
cnf(refute_13_1053,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_13_1048,refute_13_488]) ).
cnf(refute_13_1054,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_13_1055,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_13_1053,refute_13_1054]) ).
cnf(refute_13_1056,plain,
( e21 != e21
| definitionFOFtoCNF_109 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_13_1055,refute_13_1052]) ).
cnf(refute_13_1057,plain,
definitionFOFtoCNF_109,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_1056]) ).
cnf(refute_13_1058,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_109 )],[refute_13_1057,refute_13_872]) ).
cnf(refute_13_1059,plain,
( e21 != e21
| h1(e13) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_13_1060,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_1058,refute_13_1059]) ).
cnf(refute_13_1061,plain,
( e21 != e21
| h1(e13) = e20
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_1060,refute_13_858]) ).
cnf(refute_13_1062,plain,
( h1(e13) = e20
| h1(e13) = e23
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_1061]) ).
cnf(refute_13_1063,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_13_1064,plain,
( h1(e13) != e22
| h1(e13) = e20
| h1(e13) = e23
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_13_1062,refute_13_1063]) ).
cnf(refute_13_1065,plain,
( h1(e13) != e22
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_13_1064,refute_13_848]) ).
cnf(refute_13_1066,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_13_1067,plain,
( h1(e13) != e22
| e22 = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_13_1065,refute_13_1066]) ).
cnf(refute_13_1068,plain,
( h1(e13) != e22
| h1(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_13_1069,plain,
( h1(e13) != e22
| e22 = e20
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_13_1067,refute_13_1068]) ).
cnf(refute_13_1070,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_13_1071,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_1070,refute_13_555]) ).
cnf(refute_13_1072,plain,
( h1(e13) != e22
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_13_1069,refute_13_1071]) ).
cnf(refute_13_1073,plain,
h1(e13) != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_1072,refute_13_19]) ).
cnf(refute_13_1074,plain,
( op2(e21,e22) != e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_844,refute_13_1073]) ).
cnf(refute_13_1075,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_13_1076,plain,
( e21 != e21
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_826,refute_13_1075]) ).
cnf(refute_13_1077,plain,
( e21 != e21
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_1076,refute_13_1074]) ).
cnf(refute_13_1078,plain,
( h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_1077]) ).
cnf(refute_13_1079,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_13_1080,plain,
( e22 != e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_1078,refute_13_1079]) ).
cnf(refute_13_1081,plain,
( e22 != e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_1080,refute_13_832]) ).
cnf(refute_13_1082,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_772,refute_13_1081]) ).
cnf(refute_13_1083,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_13_1082,refute_13_488]) ).
cnf(refute_13_1084,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_13_1085,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_13_1083,refute_13_1084]) ).
cnf(refute_13_1086,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_13_1082,refute_13_890]) ).
cnf(refute_13_1087,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_13_1088,plain,
( e21 != e21
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_1086,refute_13_1087]) ).
cnf(refute_13_1089,plain,
( e21 != e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_13_1088,refute_13_1085]) ).
cnf(refute_13_1090,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_13_1089,refute_13_0]) ).
cnf(refute_13_1091,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_305,refute_13_1090]) ).
fof(negate_14_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_14_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_3,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_14_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_5,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_14_6,plain,
h3(e12) = 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,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_14_10,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_11,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_12,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_14_13,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_14,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_14_15,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_16,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_17,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_18,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_14_12]) ).
cnf(refute_14_0,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_1,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_2,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_14_11]) ).
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( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_14_7,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_14_9,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_14_10,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_7,refute_14_10]) ).
cnf(refute_14_12,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_14_13,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_14_11,refute_14_12]) ).
cnf(refute_14_14,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_14_1,refute_14_13]) ).
cnf(refute_14_15,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_14_16,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_14_14,refute_14_15]) ).
cnf(refute_14_17,plain,
h4(op1(e13,e12)) = h4(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).
cnf(refute_14_18,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_19,plain,
( op1(e13,e12) != e10
| h4(op1(e13,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_17,refute_14_18]) ).
cnf(refute_14_20,plain,
h4(op1(e13,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_14_16,refute_14_19]) ).
cnf(refute_14_21,plain,
( h4(e10) != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) != h4(e10)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) ),[1],$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_22,plain,
( h4(e10) != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) )],[refute_14_20,refute_14_21]) ).
cnf(refute_14_23,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_14_13]) ).
cnf(refute_14_24,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_25,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_26,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_27,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_14_25,refute_14_26]) ).
cnf(refute_14_28,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_29,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_14_30,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_14_28,refute_14_29]) ).
cnf(refute_14_31,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_14_32,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_33,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_31,refute_14_32]) ).
cnf(refute_14_34,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_30,refute_14_33]) ).
cnf(refute_14_35,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_14_36,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_37,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_35,refute_14_36]) ).
cnf(refute_14_38,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_30,refute_14_37]) ).
cnf(refute_14_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_39]) ).
cnf(refute_14_41,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_14_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_42,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_38,refute_14_41]) ).
cnf(refute_14_43,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_14_34,refute_14_42]) ).
cnf(refute_14_44,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_14_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_14_45,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_14_43,refute_14_44]) ).
cnf(refute_14_46,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_27,refute_14_45]) ).
cnf(refute_14_47,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_14_48,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_14_46,refute_14_47]) ).
cnf(refute_14_49,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_24,refute_14_48]) ).
cnf(refute_14_50,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_14_51,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_14_49,refute_14_50]) ).
cnf(refute_14_52,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_14_40:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_14_53,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_27,refute_14_52]) ).
cnf(refute_14_54,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_14_51,refute_14_53]) ).
cnf(refute_14_55,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_14_56,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_57,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_14_55,refute_14_56]) ).
cnf(refute_14_58,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_54,refute_14_57]) ).
cnf(refute_14_59,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_14_60,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_14_58,refute_14_59]) ).
cnf(refute_14_61,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_14_23,refute_14_60]) ).
cnf(refute_14_62,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_14_63,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_14_61,refute_14_62]) ).
cnf(refute_14_64,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_65,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_14_66,plain,
( h4(e12) != e23
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_67,plain,
( h4(e12) != e23
| op2(e21,h4(e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_14_65,refute_14_66]) ).
cnf(refute_14_68,plain,
op2(e21,h4(e12)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_14_64,refute_14_67]) ).
cnf(refute_14_69,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_70,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_71,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_69,refute_14_70]) ).
cnf(refute_14_72,plain,
op2(h4(e13),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_14_51,refute_14_71]) ).
cnf(refute_14_73,plain,
( op2(e21,h4(e12)) != op2(e21,e23)
| op2(h4(e13),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e21,e23) ),
inference(subst,[],[refute_14_40:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_14_74,plain,
( op2(e21,h4(e12)) != op2(e21,e23)
| op2(h4(e13),h4(e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e21,h4(e12))) )],[refute_14_72,refute_14_73]) ).
cnf(refute_14_75,plain,
op2(h4(e13),h4(e12)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e23)) )],[refute_14_68,refute_14_74]) ).
cnf(refute_14_76,plain,
( op2(e21,e23) != h4(e10)
| op2(h4(e13),h4(e12)) != op2(e21,e23)
| op2(h4(e13),h4(e12)) = h4(e10) ),
inference(subst,[],[refute_14_40:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h4(e10)))]]) ).
cnf(refute_14_77,plain,
( op2(e21,e23) != h4(e10)
| op2(h4(e13),h4(e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e21,e23)) )],[refute_14_75,refute_14_76]) ).
cnf(refute_14_78,plain,
op2(h4(e13),h4(e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_14_63,refute_14_77]) ).
cnf(refute_14_79,plain,
( h4(e10) != h4(e10)
| op2(h4(e13),h4(e12)) != h4(e10)
| h4(e10) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(h4(e13),h4(e12))) ),[1],$fot(h4(e10))]]) ).
cnf(refute_14_80,plain,
( h4(e10) != h4(e10)
| h4(e10) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),h4(e10)) )],[refute_14_78,refute_14_79]) ).
cnf(refute_14_81,plain,
( h4(e10) != h4(e10)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e13),h4(e12))) )],[refute_14_80,refute_14_22]) ).
cnf(refute_14_82,plain,
h4(e10) != h4(e10),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_81,refute_14_0]) ).
cnf(refute_14_83,plain,
h4(e10) = h4(e10),
introduced(tautology,[refl,[$fot(h4(e10))]]) ).
cnf(refute_14_84,plain,
$false,
inference(resolve,[$cnf( $equal(h4(e10),h4(e10)) )],[refute_14_83,refute_14_82]) ).
fof(negate_15_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_15_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_15_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_15_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_15_5]) ).
fof(normalize_15_7,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_4,normalize_15_6]) ).
fof(normalize_15_8,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_15_10,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_12,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_15_13,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_14,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_15,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_16,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_15_17,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_18,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_15_16]) ).
cnf(refute_15_0,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_1,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_15_11]) ).
cnf(refute_15_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_15_7,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_9,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_10,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_11,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_15_9,refute_15_10]) ).
cnf(refute_15_12,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_13,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_15_14,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_15_12,refute_15_13]) ).
cnf(refute_15_15,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_15_16,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_17,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_15,refute_15_16]) ).
cnf(refute_15_18,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_17]) ).
cnf(refute_15_19,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_15_20,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_15_21,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_19,refute_15_20]) ).
cnf(refute_15_22,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_21]) ).
cnf(refute_15_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_23]) ).
cnf(refute_15_25,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_26,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_22,refute_15_25]) ).
cnf(refute_15_27,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_15_18,refute_15_26]) ).
cnf(refute_15_28,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_15_29,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_15_27,refute_15_28]) ).
cnf(refute_15_30,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_29]) ).
cnf(refute_15_31,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_15_32,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_15_30,refute_15_31]) ).
cnf(refute_15_33,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_8,refute_15_32]) ).
cnf(refute_15_34,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_15_35,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_15_33,refute_15_34]) ).
cnf(refute_15_36,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_15_37,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_36]) ).
cnf(refute_15_38,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_15_40,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_15_41,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_38,refute_15_41]) ).
cnf(refute_15_43,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_15_44,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_15_45,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_43,refute_15_44]) ).
cnf(refute_15_46,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_38,refute_15_45]) ).
cnf(refute_15_47,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_15_48,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_15_46,refute_15_47]) ).
cnf(refute_15_49,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_15_42,refute_15_48]) ).
cnf(refute_15_50,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_51,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_15_49,refute_15_50]) ).
cnf(refute_15_52,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_7,refute_15_51]) ).
cnf(refute_15_53,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_15_54,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_15_52,refute_15_53]) ).
cnf(refute_15_55,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_1,refute_15_54]) ).
cnf(refute_15_56,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_57,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_58,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_15_59,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_15_57,refute_15_58]) ).
cnf(refute_15_60,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_15_61,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_15_62,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_60,refute_15_61]) ).
cnf(refute_15_63,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_62]) ).
cnf(refute_15_64,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_15_65,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_15_66,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_64,refute_15_65]) ).
cnf(refute_15_67,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_66]) ).
cnf(refute_15_68,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_69,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_67,refute_15_68]) ).
cnf(refute_15_70,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_15_63,refute_15_69]) ).
cnf(refute_15_71,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_15_72,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_15_70,refute_15_71]) ).
cnf(refute_15_73,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_56,refute_15_72]) ).
cnf(refute_15_74,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_75,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_15_73,refute_15_74]) ).
cnf(refute_15_76,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_77,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_15_78,plain,
( op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_76,refute_15_77]) ).
cnf(refute_15_79,plain,
h4(op1(e13,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_15_75,refute_15_78]) ).
cnf(refute_15_80,plain,
( h4(e11) != h2(e13)
| h4(op1(e13,e13)) != h4(e11)
| h4(op1(e13,e13)) = h2(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_81,plain,
( h4(e11) != h2(e13)
| h4(op1(e13,e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e11)) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
h4(op1(e13,e13)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_15_55,refute_15_81]) ).
cnf(refute_15_83,plain,
( h2(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != h2(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h2(e13)) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_84,plain,
( h2(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h2(e13)) )],[refute_15_82,refute_15_83]) ).
cnf(refute_15_85,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_15_86,plain,
( h4(e13) != e21
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_15_87,plain,
( h4(e13) != e21
| op2(e21,h4(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_15_85,refute_15_86]) ).
cnf(refute_15_88,plain,
op2(e21,h4(e13)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_87]) ).
cnf(refute_15_89,plain,
op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_90,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
| op2(h4(e13),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_15_91,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_89,refute_15_90]) ).
cnf(refute_15_92,plain,
op2(h4(e13),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_91]) ).
cnf(refute_15_93,plain,
( op2(e21,h4(e13)) != op2(e21,e21)
| op2(h4(e13),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e13),h4(e13)) = op2(e21,e21) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_15_94,plain,
( op2(e21,h4(e13)) != op2(e21,e21)
| op2(h4(e13),h4(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e21,h4(e13))) )],[refute_15_92,refute_15_93]) ).
cnf(refute_15_95,plain,
op2(h4(e13),h4(e13)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e21)) )],[refute_15_88,refute_15_94]) ).
cnf(refute_15_96,plain,
( op2(e21,e21) != h2(e13)
| op2(h4(e13),h4(e13)) != op2(e21,e21)
| op2(h4(e13),h4(e13)) = h2(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_97,plain,
( op2(e21,e21) != h2(e13)
| op2(h4(e13),h4(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e21,e21)) )],[refute_15_95,refute_15_96]) ).
cnf(refute_15_98,plain,
op2(h4(e13),h4(e13)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_7,refute_15_97]) ).
cnf(refute_15_99,plain,
( h2(e13) != h2(e13)
| op2(h4(e13),h4(e13)) != h2(e13)
| h2(e13) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h4(e13),h4(e13))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_15_100,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),h2(e13)) )],[refute_15_98,refute_15_99]) ).
cnf(refute_15_101,plain,
( h2(e13) != h2(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e13),h4(e13))) )],[refute_15_100,refute_15_84]) ).
cnf(refute_15_102,plain,
h2(e13) != h2(e13),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_101,refute_15_0]) ).
cnf(refute_15_103,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_15_104,plain,
$false,
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_15_103,refute_15_102]) ).
fof(negate_16_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_16_1,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_16_2,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_16_3,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_16_4,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_16_2,normalize_16_3]) ).
fof(normalize_16_5,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_16_1,normalize_16_4,normalize_16_3]) ).
fof(normalize_16_6,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_16_7,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_16_5,normalize_16_6]) ).
fof(normalize_16_8,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_0,normalize_16_7,normalize_16_4,normalize_16_3,normalize_16_6]) ).
fof(normalize_16_9,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_16_10,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_16_11,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_16_9,normalize_16_10]) ).
fof(normalize_16_12,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_8,normalize_16_11,normalize_16_10]) ).
fof(normalize_16_13,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_16_14,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_12,normalize_16_13]) ).
fof(normalize_16_15,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_16_14]) ).
fof(normalize_16_16,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_17,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_16_18,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_16_17]) ).
fof(normalize_16_19,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_20,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_16_21,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_22,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_16_17]) ).
fof(normalize_16_23,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_16_24,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_16_23]) ).
fof(normalize_16_25,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_19,normalize_16_21,normalize_16_22,normalize_16_24]) ).
fof(normalize_16_26,plain,
h4(op1(e13,e11)) = op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_27,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_16_28,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_16_27]) ).
fof(normalize_16_29,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_16_30,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_16_29]) ).
fof(normalize_16_31,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_16_27]) ).
fof(normalize_16_32,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_16_29]) ).
fof(normalize_16_33,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_7]) ).
fof(normalize_16_34,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_16_33]) ).
fof(normalize_16_35,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_6]) ).
fof(normalize_16_36,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_16_35]) ).
fof(normalize_16_37,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_16_38,plain,
e22 != e23,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_39,plain,
e21 != e23,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_40,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_16_41,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_42,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_4]) ).
fof(normalize_16_43,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_16_42]) ).
fof(normalize_16_44,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_3]) ).
fof(normalize_16_45,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_16_44]) ).
fof(normalize_16_46,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_47,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_16_44]) ).
fof(normalize_16_48,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_16_49,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_50,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_16_29]) ).
fof(normalize_16_51,plain,
h4(e13) != e20,
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_52,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_16_42]) ).
fof(normalize_16_53,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_54,plain,
e20 != e22,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_55,plain,
e21 != e22,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_56,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_11]) ).
fof(normalize_16_57,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_16_56]) ).
fof(normalize_16_58,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_10]) ).
fof(normalize_16_59,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_16_58]) ).
fof(normalize_16_60,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_61,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_62,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_63,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_16_27]) ).
fof(normalize_16_64,plain,
( ~ definitionFOFtoCNF_129
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_16_65,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_129 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_129 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_129 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_129 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129 ) ),
inference(clausify,[],[normalize_16_64]) ).
fof(normalize_16_66,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_129 ),
inference(conjunct,[],[normalize_16_65]) ).
fof(normalize_16_67,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_16_68,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_16_67]) ).
fof(normalize_16_69,plain,
h4(e11) != e20,
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_70,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_71,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_72,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_16_67]) ).
fof(normalize_16_73,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_74,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_75,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_16_17]) ).
fof(normalize_16_76,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_77,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_13]) ).
fof(normalize_16_78,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_16_77]) ).
fof(normalize_16_79,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_80,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_81,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_16_27]) ).
fof(normalize_16_82,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_16_83,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_84,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_16_85,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_86,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_16_87,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_16_86]) ).
fof(normalize_16_88,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_89,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_16_86]) ).
fof(normalize_16_90,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_16_17]) ).
fof(normalize_16_91,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129 ),
inference(conjunct,[],[normalize_16_65]) ).
fof(normalize_16_92,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_93,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_94,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_16_95,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_16_96,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_16_97,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_16_95,normalize_16_96]) ).
fof(normalize_16_98,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_94,normalize_16_97,normalize_16_96]) ).
fof(normalize_16_99,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_16_100,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_98,normalize_16_99]) ).
fof(normalize_16_101,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_16_100]) ).
fof(normalize_16_102,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_16_101]) ).
fof(normalize_16_103,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_104,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_16_105,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_16_104]) ).
fof(normalize_16_106,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_16_105,normalize_16_14,normalize_16_11,normalize_16_7,normalize_16_4,normalize_16_3,normalize_16_6,normalize_16_13,normalize_16_10]) ).
fof(normalize_16_107,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_16_106,normalize_16_100,normalize_16_97,normalize_16_99,normalize_16_96]) ).
fof(normalize_16_108,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_16_109,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_16_110,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_16_108,normalize_16_109]) ).
fof(normalize_16_111,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_16_107,normalize_16_110,normalize_16_109]) ).
fof(normalize_16_112,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_16_113,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_16_111,normalize_16_112]) ).
fof(normalize_16_114,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_16_113]) ).
fof(normalize_16_115,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_16_114]) ).
fof(normalize_16_116,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_16_110]) ).
fof(normalize_16_117,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_16_116]) ).
fof(normalize_16_118,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_109]) ).
fof(normalize_16_119,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_16_118]) ).
fof(normalize_16_120,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_16_118]) ).
fof(normalize_16_121,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_16_112]) ).
fof(normalize_16_122,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_16_121]) ).
fof(normalize_16_123,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_16_114]) ).
fof(normalize_16_124,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_125,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_126,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_127,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_128,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_129,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_130,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_99]) ).
fof(normalize_16_131,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_16_130]) ).
fof(normalize_16_132,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_16_130]) ).
fof(normalize_16_133,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_134,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_135,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_97]) ).
fof(normalize_16_136,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_16_135]) ).
fof(normalize_16_137,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_138,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_139,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_16_96]) ).
fof(normalize_16_140,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_16_139]) ).
fof(normalize_16_141,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_16_139]) ).
fof(normalize_16_142,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_143,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_144,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_16_104]) ).
fof(normalize_16_145,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_16_101]) ).
fof(normalize_16_146,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_147,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_148,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_149,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_150,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_16_151,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_152,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_16_153,plain,
e11 != e13,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_154,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_155,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_16_86]) ).
fof(normalize_16_156,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e11,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e12,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_16_157,plain,
( ~ definitionFOFtoCNF_1
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_16_158,plain,
( ~ definitionFOFtoCNF_2
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(canonicalize,[],[definition_16]) ).
fof(normalize_16_159,plain,
( ~ definitionFOFtoCNF_3
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 ) ),
inference(canonicalize,[],[definition_27]) ).
fof(normalize_16_160,plain,
( ~ definitionFOFtoCNF_2
<=> ( ~ definitionFOFtoCNF_3
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 ) ) ),
inference(simplify,[],[normalize_16_158,normalize_16_159]) ).
fof(normalize_16_161,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_16_157,normalize_16_160,normalize_16_159]) ).
fof(normalize_16_162,plain,
( ~ definitionFOFtoCNF_4
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 ) ),
inference(canonicalize,[],[definition_28]) ).
fof(normalize_16_163,plain,
( ~ definitionFOFtoCNF_1
<=> ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 ) ) ),
inference(simplify,[],[normalize_16_161,normalize_16_162]) ).
fof(normalize_16_164,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_156,normalize_16_163,normalize_16_160,normalize_16_159,normalize_16_162]) ).
fof(normalize_16_165,plain,
( ~ definitionFOFtoCNF_5
<=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(canonicalize,[],[definition_29]) ).
fof(normalize_16_166,plain,
( ~ definitionFOFtoCNF_6
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 ) ),
inference(canonicalize,[],[definition_30]) ).
fof(normalize_16_167,plain,
( ~ definitionFOFtoCNF_5
<=> ( ~ definitionFOFtoCNF_6
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 ) ) ),
inference(simplify,[],[normalize_16_165,normalize_16_166]) ).
fof(normalize_16_168,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_164,normalize_16_167,normalize_16_166]) ).
fof(normalize_16_169,plain,
( ~ definitionFOFtoCNF_7
<=> ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 ) ),
inference(canonicalize,[],[definition_31]) ).
fof(normalize_16_170,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& definitionFOFtoCNF_5
& definitionFOFtoCNF_7
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_168,normalize_16_169]) ).
fof(normalize_16_171,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_5 )
& ( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e10,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7
| op1(e11,e10) = e11 )
& ( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_16_170]) ).
fof(normalize_16_172,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_171]) ).
fof(normalize_16_173,plain,
( ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_1
| definitionFOFtoCNF_4 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) != e13
| ~ definitionFOFtoCNF_1
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_163]) ).
fof(normalize_16_174,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_16_173]) ).
fof(normalize_16_175,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_4 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) = e12
| definitionFOFtoCNF_4 )
& ( op1(e12,e12) != e12
| ~ definitionFOFtoCNF_4
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_162]) ).
fof(normalize_16_176,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_16_175]) ).
fof(normalize_16_177,plain,
e12 != e13,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_178,plain,
( ( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_3 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 )
& ( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) != e11
| ~ definitionFOFtoCNF_2
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_160]) ).
fof(normalize_16_179,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_16_178]) ).
fof(normalize_16_180,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_3 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) = e10
| definitionFOFtoCNF_3 )
& ( op1(e10,e10) != e10
| ~ definitionFOFtoCNF_3
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_159]) ).
fof(normalize_16_181,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_16_180]) ).
fof(normalize_16_182,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(conjunct,[],[normalize_16_180]) ).
fof(normalize_16_183,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_16_178]) ).
fof(normalize_16_184,plain,
( ( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e10)) != e10
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e11)) != e11
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e12)) != e12
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( op1(e10,op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_6
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e10,e13) = e10
| definitionFOFtoCNF_5 )
& ( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 )
& ( op1(e10,e13) != e10
| op1(e13,e10) != e10
| ~ definitionFOFtoCNF_5
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_167]) ).
fof(normalize_16_185,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_16_184]) ).
fof(normalize_16_186,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_6 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) = e10
| definitionFOFtoCNF_6 )
& ( op1(e12,e10) = e10
| definitionFOFtoCNF_6 )
& ( op1(e10,e12) != e10
| op1(e12,e10) != e10
| ~ definitionFOFtoCNF_6
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_166]) ).
fof(normalize_16_187,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(conjunct,[],[normalize_16_186]) ).
fof(normalize_16_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_189,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_190,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_191,plain,
e11 != e12,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_192,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_193,plain,
op1(e11,e10) != op1(e11,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_194,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_195,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_196,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_197,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_198,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_199,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_200,plain,
e10 != e13,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_201,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_202,plain,
( ~ definitionFOFtoCNF_130
<=> ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_16_203,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| ( 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_201,normalize_16_202]) ).
fof(normalize_16_204,plain,
( ~ definitionFOFtoCNF_131
<=> ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_16_205,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(simplify,[],[normalize_16_203,normalize_16_204]) ).
fof(normalize_16_206,plain,
( ( h3(e10) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( h3(e11) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( h3(e12) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 )
& ( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ) ),
inference(clausify,[],[normalize_16_205]) ).
fof(normalize_16_207,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(conjunct,[],[normalize_16_206]) ).
fof(normalize_16_208,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_16_23]) ).
fof(normalize_16_209,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_16_23]) ).
fof(normalize_16_210,plain,
h3(e13) = op2(e22,e22),
inference(conjunct,[],[normalize_16_23]) ).
fof(normalize_16_211,plain,
( ( h3(e10) != e20
| ~ definitionFOFtoCNF_130 )
& ( h3(e11) != e20
| ~ definitionFOFtoCNF_130 )
& ( h3(e12) != e20
| ~ definitionFOFtoCNF_130 )
& ( h3(e13) != e20
| ~ definitionFOFtoCNF_130 )
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20
| definitionFOFtoCNF_130 ) ),
inference(clausify,[],[normalize_16_202]) ).
fof(normalize_16_212,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_130 ),
inference(conjunct,[],[normalize_16_211]) ).
fof(normalize_16_213,plain,
( ( h3(e10) != e21
| ~ definitionFOFtoCNF_131 )
& ( h3(e11) != e21
| ~ definitionFOFtoCNF_131 )
& ( h3(e12) != e21
| ~ definitionFOFtoCNF_131 )
& ( h3(e13) != e21
| ~ definitionFOFtoCNF_131 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_131 ) ),
inference(clausify,[],[normalize_16_204]) ).
fof(normalize_16_214,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_131 ),
inference(conjunct,[],[normalize_16_213]) ).
fof(normalize_16_215,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_216,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_217,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_218,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_219,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_220,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_221,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_222,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_223,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_224,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_225,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_226,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_16_20]) ).
fof(normalize_16_227,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_228,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_229,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_230,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_231,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_232,plain,
e10 != e12,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_233,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_234,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_235,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_236,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_237,plain,
h4(e12) != e20,
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_238,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_239,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_240,plain,
e10 != e11,
inference(conjunct,[],[normalize_16_152]) ).
fof(normalize_16_241,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_242,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_16_67]) ).
fof(normalize_16_243,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_244,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_16_77]) ).
fof(normalize_16_245,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_16_67]) ).
fof(normalize_16_246,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_247,plain,
( ( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e11)) != e11
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 )
& ( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) = e10
| definitionFOFtoCNF_7 )
& ( op1(e11,e10) = e10
| definitionFOFtoCNF_7 )
& ( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_169]) ).
fof(normalize_16_248,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_247]) ).
fof(normalize_16_249,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_250,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_251,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_247]) ).
fof(normalize_16_252,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_253,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_254,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_247]) ).
fof(normalize_16_255,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_256,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_257,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_258,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_247]) ).
fof(normalize_16_259,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_260,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_261,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_262,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_263,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_264,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_32]) ).
fof(normalize_16_265,plain,
( ~ definitionFOFtoCNF_9
<=> ( ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ) ),
inference(canonicalize,[],[definition_33]) ).
fof(normalize_16_266,plain,
( ~ definitionFOFtoCNF_10
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_16_267,plain,
( ~ definitionFOFtoCNF_9
<=> ( ~ definitionFOFtoCNF_10
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 ) ) ),
inference(simplify,[],[normalize_16_265,normalize_16_266]) ).
fof(normalize_16_268,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_9
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_264,normalize_16_267,normalize_16_266]) ).
fof(normalize_16_269,plain,
( ~ definitionFOFtoCNF_11
<=> ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_16_270,plain,
( ~ definitionFOFtoCNF_8
<=> ( ~ definitionFOFtoCNF_0
& definitionFOFtoCNF_11
& definitionFOFtoCNF_9
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_268,normalize_16_269]) ).
fof(normalize_16_271,plain,
( ( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_11
| definitionFOFtoCNF_8 )
& ( definitionFOFtoCNF_8
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 )
& ( op1(e11,e12) != e11
| op1(e12,e11) != e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_16_270]) ).
fof(normalize_16_272,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_16_271]) ).
fof(normalize_16_273,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_274,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_11 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) = e12
| definitionFOFtoCNF_11 )
& ( op1(e12,e10) = e12
| definitionFOFtoCNF_11 )
& ( op1(e10,e12) != e12
| op1(e12,e10) != e12
| ~ definitionFOFtoCNF_11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_269]) ).
fof(normalize_16_275,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_16_274]) ).
fof(normalize_16_276,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_16_274]) ).
fof(normalize_16_277,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_16_150]) ).
fof(normalize_16_278,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_16_274]) ).
fof(normalize_16_279,plain,
( ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_16_280,plain,
( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13
& op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_16_279]) ).
fof(normalize_16_281,plain,
( definitionFOFtoCNF_0
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13
& op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_16_280,normalize_16_170,normalize_16_167,normalize_16_163,normalize_16_160,normalize_16_159,normalize_16_162,normalize_16_169,normalize_16_166]) ).
fof(normalize_16_282,plain,
( definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ),
inference(simplify,[],[normalize_16_281,normalize_16_270,normalize_16_267,normalize_16_269,normalize_16_266]) ).
fof(normalize_16_283,plain,
( ~ definitionFOFtoCNF_12
<=> ( ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_16_284,plain,
( ~ definitionFOFtoCNF_13
<=> ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_16_285,plain,
( ~ definitionFOFtoCNF_12
<=> ( definitionFOFtoCNF_13
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ) ),
inference(simplify,[],[normalize_16_283,normalize_16_284]) ).
fof(normalize_16_286,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_8
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13
& op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_16_282,normalize_16_285,normalize_16_284]) ).
fof(normalize_16_287,plain,
( ~ definitionFOFtoCNF_14
<=> ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_16_288,plain,
( definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ),
inference(simplify,[],[normalize_16_286,normalize_16_287]) ).
fof(normalize_16_289,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 )
& ( op1(e13,e10) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ) ),
inference(clausify,[],[normalize_16_288]) ).
fof(normalize_16_290,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(conjunct,[],[normalize_16_289]) ).
fof(normalize_16_291,plain,
( ( definitionFOFtoCNF_12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e10)) != e10
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 )
& ( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e13
| op1(e13,e12) != e13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13
| definitionFOFtoCNF_12 ) ),
inference(clausify,[],[normalize_16_285]) ).
fof(normalize_16_292,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_16_291]) ).
fof(normalize_16_293,plain,
( ( op1(e13,op1(e13,e10)) != e10
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e12)) != e12
| definitionFOFtoCNF_13 )
& ( op1(e13,op1(e13,e13)) != e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) = e13
| definitionFOFtoCNF_13 )
& ( op1(e13,e11) = e13
| definitionFOFtoCNF_13 )
& ( op1(e11,e13) != e13
| op1(e13,e11) != e13
| ~ definitionFOFtoCNF_13
| op1(e13,op1(e13,e10)) = e10
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_284]) ).
fof(normalize_16_294,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_16_293]) ).
fof(normalize_16_295,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_16_293]) ).
fof(normalize_16_296,plain,
( ( op1(e12,op1(e12,e10)) != e10
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e11)) != e11
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e12)) != e12
| ~ definitionFOFtoCNF_14 )
& ( op1(e12,op1(e12,e13)) != e13
| ~ definitionFOFtoCNF_14 )
& ( ~ definitionFOFtoCNF_14
| op1(e12,e13) = e12 )
& ( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 )
& ( op1(e12,e13) != e12
| op1(e13,e12) != e12
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13
| definitionFOFtoCNF_14 ) ),
inference(clausify,[],[normalize_16_287]) ).
fof(normalize_16_297,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_16_296]) ).
fof(normalize_16_298,plain,
( ( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_10 )
& ( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e12)) != e12
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( op1(e11,op1(e11,e13)) != e13
| ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 )
& ( ~ definitionFOFtoCNF_10
| op1(e13,e11) = e11
| definitionFOFtoCNF_9 )
& ( op1(e11,e13) != e11
| op1(e13,e11) != e11
| ~ definitionFOFtoCNF_9
| op1(e11,op1(e11,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_267]) ).
fof(normalize_16_299,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_16_298]) ).
fof(normalize_16_300,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_301,plain,
( ( op1(e12,op1(e12,e10)) != e10
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e12)) != e12
| definitionFOFtoCNF_10 )
& ( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) = e12
| definitionFOFtoCNF_10 )
& ( op1(e12,e11) = e12
| definitionFOFtoCNF_10 )
& ( op1(e11,e12) != e12
| op1(e12,e11) != e12
| ~ definitionFOFtoCNF_10
| op1(e12,op1(e12,e10)) = e10
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e13)) = e13 ) ),
inference(clausify,[],[normalize_16_266]) ).
fof(normalize_16_302,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_16_301]) ).
fof(normalize_16_303,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 ),
inference(conjunct,[],[normalize_16_171]) ).
fof(normalize_16_304,plain,
( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(conjunct,[],[normalize_16_247]) ).
fof(normalize_16_305,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_16_301]) ).
fof(normalize_16_306,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_16_82]) ).
fof(normalize_16_307,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_308,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_16_84]) ).
fof(normalize_16_309,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_16_101]) ).
fof(normalize_16_310,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_16_139]) ).
fof(normalize_16_311,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_16_15]) ).
fof(normalize_16_312,plain,
( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(conjunct,[],[normalize_16_77]) ).
fof(normalize_16_313,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_314,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_315,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_316,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_317,plain,
h4(e10) != e20,
inference(conjunct,[],[normalize_16_25]) ).
cnf(refute_16_0,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_16_16]) ).
cnf(refute_16_1,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_16_18]) ).
cnf(refute_16_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_2,refute_16_3]) ).
cnf(refute_16_5,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_16_6,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_16_1,refute_16_5]) ).
cnf(refute_16_7,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_16_8,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_9,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_9]) ).
cnf(refute_16_11,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_16_12,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_16_12,refute_16_0]) ).
cnf(refute_16_14,plain,
h4(op1(e13,e11)) = op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_16_26]) ).
cnf(refute_16_15,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_16_28]) ).
cnf(refute_16_16,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_16_30]) ).
cnf(refute_16_17,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_16_31]) ).
cnf(refute_16_18,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_19,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_16_17,refute_16_18]) ).
cnf(refute_16_20,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_16_32]) ).
cnf(refute_16_21,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_16_22,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_16_20,refute_16_21]) ).
cnf(refute_16_23,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_16_24,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_25,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_23,refute_16_24]) ).
cnf(refute_16_26,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_25]) ).
cnf(refute_16_27,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_16_28,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_29,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_27,refute_16_28]) ).
cnf(refute_16_30,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_29]) ).
cnf(refute_16_31,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_32,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_4,refute_16_31]) ).
cnf(refute_16_33,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_34,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_30,refute_16_33]) ).
cnf(refute_16_35,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_16_26,refute_16_34]) ).
cnf(refute_16_36,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_16_37,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_16_35,refute_16_36]) ).
cnf(refute_16_38,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_37]) ).
cnf(refute_16_39,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_16_40,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_16_38,refute_16_39]) ).
cnf(refute_16_41,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_16,refute_16_40]) ).
cnf(refute_16_42,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_16_43,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_16_41,refute_16_42]) ).
cnf(refute_16_44,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_45,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_44]) ).
cnf(refute_16_46,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_45]) ).
cnf(refute_16_47,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_16_48,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_49,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_16_47,refute_16_48]) ).
cnf(refute_16_50,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_49]) ).
cnf(refute_16_51,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_16_52,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_53,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_51,refute_16_52]) ).
cnf(refute_16_54,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_53]) ).
cnf(refute_16_55,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_16_56,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_16_54,refute_16_55]) ).
cnf(refute_16_57,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_16_50,refute_16_56]) ).
cnf(refute_16_58,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_16_59,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_16_57,refute_16_58]) ).
cnf(refute_16_60,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_59]) ).
cnf(refute_16_61,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_16_62,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_16_60,refute_16_61]) ).
cnf(refute_16_63,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_15,refute_16_62]) ).
cnf(refute_16_64,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_16_65,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_66,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_16_64,refute_16_65]) ).
cnf(refute_16_67,plain,
op2(e21,h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_66]) ).
cnf(refute_16_68,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_16_69,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_70,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_16_68,refute_16_69]) ).
cnf(refute_16_71,plain,
op2(h4(e13),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_70]) ).
cnf(refute_16_72,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_16_73,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h4(e11))) )],[refute_16_71,refute_16_72]) ).
cnf(refute_16_74,plain,
op2(h4(e13),h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h2(e13))) )],[refute_16_67,refute_16_73]) ).
cnf(refute_16_75,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[0],$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_16_76,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h2(e13))) )],[refute_16_74,refute_16_75]) ).
cnf(refute_16_77,plain,
h4(op1(e13,e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_16_14,refute_16_76]) ).
cnf(refute_16_78,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| op2(e21,h2(e13)) = h4(op1(e13,e11)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_16_79,plain,
op2(e21,h2(e13)) = h4(op1(e13,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_16_77,refute_16_78]) ).
cnf(refute_16_80,plain,
( h4(op1(e13,e11)) != e21
| op2(e21,h2(e13)) != h4(op1(e13,e11))
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) ),[1],$fot(e21)]]) ).
cnf(refute_16_81,plain,
( h4(op1(e13,e11)) != e21
| op2(e21,h2(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) )],[refute_16_79,refute_16_80]) ).
cnf(refute_16_82,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_16_81,refute_16_13]) ).
cnf(refute_16_83,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_16_34]) ).
cnf(refute_16_84,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_16_85,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_84]) ).
cnf(refute_16_86,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_16_83,refute_16_85]) ).
cnf(refute_16_87,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_16_36]) ).
cnf(refute_16_88,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_16_89,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_88]) ).
cnf(refute_16_90,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_16_87,refute_16_89]) ).
cnf(refute_16_91,plain,
e22 != e23,
inference(canonicalize,[],[normalize_16_38]) ).
cnf(refute_16_92,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_16_93,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_16_92,refute_16_91]) ).
cnf(refute_16_94,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_16_90,refute_16_93]) ).
cnf(refute_16_95,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_16_94,refute_16_86]) ).
cnf(refute_16_96,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_16_97,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_96]) ).
cnf(refute_16_98,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_16_95,refute_16_97]) ).
cnf(refute_16_99,plain,
e21 != e23,
inference(canonicalize,[],[normalize_16_39]) ).
cnf(refute_16_100,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_98,refute_16_99]) ).
cnf(refute_16_101,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_102,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_16_103,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_102]) ).
cnf(refute_16_104,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_16_103,refute_16_101]) ).
cnf(refute_16_105,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_16_43]) ).
cnf(refute_16_106,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_107,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_106]) ).
cnf(refute_16_108,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_16_105,refute_16_107]) ).
cnf(refute_16_109,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_16_45]) ).
cnf(refute_16_110,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_16_46]) ).
cnf(refute_16_111,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_16_112,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_16_110,refute_16_111]) ).
cnf(refute_16_113,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_16_114,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_16_115,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_16_113,refute_16_114]) ).
cnf(refute_16_116,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_115]) ).
cnf(refute_16_117,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_16_118,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_16_116,refute_16_117]) ).
cnf(refute_16_119,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_16_118,refute_16_109]) ).
cnf(refute_16_120,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_16_47]) ).
cnf(refute_16_121,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_16_122,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_121]) ).
cnf(refute_16_123,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_16_120,refute_16_122]) ).
cnf(refute_16_124,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_16_125,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_16_123,refute_16_124]) ).
cnf(refute_16_126,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_16_125,refute_16_119]) ).
cnf(refute_16_127,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_16_128,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_127]) ).
cnf(refute_16_129,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_16_128,refute_16_126]) ).
cnf(refute_16_130,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_131,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_16_123,refute_16_130]) ).
cnf(refute_16_132,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_16_131,refute_16_129]) ).
cnf(refute_16_133,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_134,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_132]) ).
cnf(refute_16_135,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_16_134,refute_16_108]) ).
cnf(refute_16_136,plain,
( e21 != op2(e21,e22)
| h2(e13) != e21
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_16_137,plain,
( e21 != op2(e21,e22)
| h2(e13) = op2(e21,e22)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_135,refute_16_136]) ).
cnf(refute_16_138,plain,
( e21 != op2(e21,e22)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_16_137,refute_16_104]) ).
cnf(refute_16_139,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_16_49]) ).
cnf(refute_16_140,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_16_141,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_140]) ).
cnf(refute_16_142,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_16_139,refute_16_141]) ).
cnf(refute_16_143,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_16_144,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_143,refute_16_99]) ).
cnf(refute_16_145,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_142,refute_16_144]) ).
cnf(refute_16_146,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_16_50]) ).
cnf(refute_16_147,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_16_148,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_149,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_16_147,refute_16_148]) ).
cnf(refute_16_150,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_149]) ).
cnf(refute_16_151,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_16_152,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_16_150,refute_16_151]) ).
cnf(refute_16_153,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_16_146,refute_16_152]) ).
cnf(refute_16_154,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_16_155,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_16_153,refute_16_154]) ).
cnf(refute_16_156,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_16_157,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_156]) ).
cnf(refute_16_158,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_16_145,refute_16_157]) ).
cnf(refute_16_159,plain,
h4(e13) != e20,
inference(canonicalize,[],[normalize_16_51]) ).
cnf(refute_16_160,plain,
( e21 != e20
| h4(e13) != e21
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e20)]]) ).
cnf(refute_16_161,plain,
( e21 != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_160]) ).
cnf(refute_16_162,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_161,refute_16_159]) ).
cnf(refute_16_163,plain,
( e20 != e21
| e21 = e20 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e20)),bind(Y,$fot(e21))]]) ).
cnf(refute_16_164,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_16_163,refute_16_162]) ).
cnf(refute_16_165,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_16_158,refute_16_164]) ).
cnf(refute_16_166,plain,
( e21 != e21
| op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_16_167,plain,
( e21 != e21
| e21 = op2(e21,e22)
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_165,refute_16_166]) ).
cnf(refute_16_168,plain,
( e21 != e21
| op2(e20,e22) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_16_167,refute_16_138]) ).
cnf(refute_16_169,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_16_170,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_168]) ).
cnf(refute_16_171,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_16_52]) ).
cnf(refute_16_172,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_16_53]) ).
cnf(refute_16_173,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_16_172,refute_16_89]) ).
cnf(refute_16_174,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_16_173,refute_16_93]) ).
cnf(refute_16_175,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_16_176,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_175]) ).
cnf(refute_16_177,plain,
( e20 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_16_174,refute_16_176]) ).
cnf(refute_16_178,plain,
e20 != e22,
inference(canonicalize,[],[normalize_16_54]) ).
cnf(refute_16_179,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_177,refute_16_178]) ).
cnf(refute_16_180,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_16_181,plain,
( op2(e20,e22) = e22
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_16_179,refute_16_180]) ).
cnf(refute_16_182,plain,
( ~ definitionFOFtoCNF_18
| op2(e20,e22) = e22
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_16_181,refute_16_171]) ).
cnf(refute_16_183,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_16_134,refute_16_182]) ).
cnf(refute_16_184,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_16_185,plain,
( op2(e20,e22) != e21
| e22 = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_16_183,refute_16_184]) ).
cnf(refute_16_186,plain,
( e22 = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_170,refute_16_185]) ).
cnf(refute_16_187,plain,
e21 != e22,
inference(canonicalize,[],[normalize_16_55]) ).
cnf(refute_16_188,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_16_189,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_188,refute_16_187]) ).
cnf(refute_16_190,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_16_186,refute_16_189]) ).
cnf(refute_16_191,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_16_190,refute_16_100]) ).
cnf(refute_16_192,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_16_191,refute_16_82]) ).
cnf(refute_16_193,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_16_57]) ).
cnf(refute_16_194,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_16_59]) ).
cnf(refute_16_195,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_16_60]) ).
cnf(refute_16_196,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_16_197,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_196]) ).
cnf(refute_16_198,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_16_197,refute_16_195]) ).
cnf(refute_16_199,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_16_194,refute_16_198]) ).
cnf(refute_16_200,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_16_199,refute_16_193]) ).
cnf(refute_16_201,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_16_61]) ).
cnf(refute_16_202,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_16_203,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_202]) ).
cnf(refute_16_204,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_16_203,refute_16_201]) ).
cnf(refute_16_205,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_16_200,refute_16_204]) ).
cnf(refute_16_206,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_16_205,refute_16_192]) ).
cnf(refute_16_207,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_16_62]) ).
cnf(refute_16_208,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_16_209,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_210,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_16_208,refute_16_209]) ).
cnf(refute_16_211,plain,
op2(e23,h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_210]) ).
cnf(refute_16_212,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_16_63]) ).
cnf(refute_16_213,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_16_214,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_215,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_16_213,refute_16_214]) ).
cnf(refute_16_216,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_215]) ).
cnf(refute_16_217,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_16_218,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_16_216,refute_16_217]) ).
cnf(refute_16_219,plain,
op2(h4(e12),h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h2(e13))) )],[refute_16_211,refute_16_218]) ).
cnf(refute_16_220,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_16_221,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h2(e13))) )],[refute_16_219,refute_16_220]) ).
cnf(refute_16_222,plain,
h4(op1(e12,e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_16_207,refute_16_221]) ).
cnf(refute_16_223,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_129 ),
inference(canonicalize,[],[normalize_16_66]) ).
cnf(refute_16_224,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_16_68]) ).
cnf(refute_16_225,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_226,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_225]) ).
cnf(refute_16_227,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_16_224,refute_16_226]) ).
cnf(refute_16_228,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_16_227,refute_16_107]) ).
cnf(refute_16_229,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_230,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_229]) ).
cnf(refute_16_231,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_16_228,refute_16_230]) ).
cnf(refute_16_232,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_233,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_232]) ).
cnf(refute_16_234,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_16_231,refute_16_233]) ).
cnf(refute_16_235,plain,
h4(e11) != e20,
inference(canonicalize,[],[normalize_16_69]) ).
cnf(refute_16_236,plain,
( h2(e13) != e20
| h4(e11) != h2(e13)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_16_237,plain,
( h2(e13) != e20
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_236]) ).
cnf(refute_16_238,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_16_237,refute_16_235]) ).
cnf(refute_16_239,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_16_234,refute_16_238]) ).
cnf(refute_16_240,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_16_241,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_239,refute_16_240]) ).
cnf(refute_16_242,plain,
( e22 != e22
| ~ definitionFOFtoCNF_129
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_241,refute_16_223]) ).
cnf(refute_16_243,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_16_244,plain,
( ~ definitionFOFtoCNF_129
| h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_242]) ).
cnf(refute_16_245,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_16_70]) ).
cnf(refute_16_246,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_16_71]) ).
cnf(refute_16_247,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_16_191,refute_16_246]) ).
cnf(refute_16_248,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_16_205,refute_16_247]) ).
cnf(refute_16_249,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_16_72]) ).
cnf(refute_16_250,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_16_73]) ).
cnf(refute_16_251,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_16_252,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_251]) ).
cnf(refute_16_253,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_16_252,refute_16_250]) ).
cnf(refute_16_254,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_16_249,refute_16_253]) ).
cnf(refute_16_255,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_16_74]) ).
cnf(refute_16_256,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_16_257,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_256]) ).
cnf(refute_16_258,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_16_257,refute_16_255]) ).
cnf(refute_16_259,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_16_254,refute_16_258]) ).
cnf(refute_16_260,plain,
( op2(e21,e22) = e21
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_16_259,refute_16_180]) ).
cnf(refute_16_261,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_16_260,refute_16_248]) ).
cnf(refute_16_262,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_16_75]) ).
cnf(refute_16_263,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_16_264,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_265,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_16_263,refute_16_264]) ).
cnf(refute_16_266,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_265]) ).
cnf(refute_16_267,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_16_268,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_16_266,refute_16_267]) ).
cnf(refute_16_269,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_16_262,refute_16_268]) ).
cnf(refute_16_270,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_16_76]) ).
cnf(refute_16_271,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_16_272,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_273,plain,
( h4(e12) != e23
| op2(h4(e10),h4(e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_16_271,refute_16_272]) ).
cnf(refute_16_274,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_273]) ).
cnf(refute_16_275,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_16_276,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h4(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),e23)) )],[refute_16_274,refute_16_275]) ).
cnf(refute_16_277,plain,
h4(op1(e10,e12)) = op2(h4(e10),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_16_270,refute_16_276]) ).
cnf(refute_16_278,plain,
( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_16_78]) ).
cnf(refute_16_279,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_16_79]) ).
cnf(refute_16_280,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_16_279,refute_16_85]) ).
cnf(refute_16_281,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_16_80]) ).
cnf(refute_16_282,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_16_283,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_282]) ).
cnf(refute_16_284,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_16_283,refute_16_281]) ).
cnf(refute_16_285,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_16_286,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_16_285,refute_16_284]) ).
cnf(refute_16_287,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_16_280,refute_16_286]) ).
cnf(refute_16_288,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_16_287,refute_16_97]) ).
cnf(refute_16_289,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_16_81]) ).
cnf(refute_16_290,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_16_291,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_292,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_16_290,refute_16_291]) ).
cnf(refute_16_293,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_292]) ).
cnf(refute_16_294,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_16_295,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_16_293,refute_16_294]) ).
cnf(refute_16_296,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_16_289,refute_16_295]) ).
cnf(refute_16_297,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_16_298,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_16_296,refute_16_297]) ).
cnf(refute_16_299,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_16_300,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_299]) ).
cnf(refute_16_301,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_16_288,refute_16_300]) ).
cnf(refute_16_302,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_301,refute_16_99]) ).
cnf(refute_16_303,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e20,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_16_304,plain,
( h4(e10) = e23
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_16_302,refute_16_303]) ).
cnf(refute_16_305,plain,
( h4(e10) = e23
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_16_304,refute_16_278]) ).
cnf(refute_16_306,plain,
( h4(e10) != e23
| h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_307,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_305,refute_16_306]) ).
cnf(refute_16_308,plain,
( h4(op1(e10,e12)) = op2(e23,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),e23)) )],[refute_16_277,refute_16_307]) ).
cnf(refute_16_309,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_16_310,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_309]) ).
cnf(refute_16_311,plain,
( h4(op1(e10,e12)) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_16_308,refute_16_310]) ).
cnf(refute_16_312,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_16_83]) ).
cnf(refute_16_313,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_16_85]) ).
cnf(refute_16_314,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_16_87]) ).
cnf(refute_16_315,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_16_316,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_16_314,refute_16_315]) ).
cnf(refute_16_317,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_16_318,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_317]) ).
cnf(refute_16_319,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_16_318,refute_16_313]) ).
cnf(refute_16_320,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_16_312,refute_16_319]) ).
cnf(refute_16_321,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_16_88]) ).
cnf(refute_16_322,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_16_89]) ).
cnf(refute_16_323,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_16_324,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_325,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_16_323,refute_16_324]) ).
cnf(refute_16_326,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_325]) ).
cnf(refute_16_327,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_16_328,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_16_326,refute_16_327]) ).
cnf(refute_16_329,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_16_322,refute_16_328]) ).
cnf(refute_16_330,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_16_331,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_16_329,refute_16_330]) ).
cnf(refute_16_332,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_16_333,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_332]) ).
cnf(refute_16_334,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_16_333,refute_16_321]) ).
cnf(refute_16_335,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_16_320,refute_16_334]) ).
cnf(refute_16_336,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_337,plain,
( h4(op1(e10,e12)) != e21
| h4(e12) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_16_335,refute_16_336]) ).
cnf(refute_16_338,plain,
( h4(e12) = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_16_311,refute_16_337]) ).
cnf(refute_16_339,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_16_340,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_339]) ).
cnf(refute_16_341,plain,
( e23 = e21
| op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_16_338,refute_16_340]) ).
cnf(refute_16_342,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_341,refute_16_144]) ).
cnf(refute_16_343,plain,
( h4(op1(e10,e12)) != e21
| op1(e10,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_344,plain,
( h4(op1(e10,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_342,refute_16_343]) ).
cnf(refute_16_345,plain,
( h4(e11) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_16_311,refute_16_344]) ).
cnf(refute_16_346,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_347,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_346]) ).
cnf(refute_16_348,plain,
( h2(e13) = e21
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_16_345,refute_16_347]) ).
cnf(refute_16_349,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_350,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_349]) ).
cnf(refute_16_351,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_16_269,refute_16_350]) ).
cnf(refute_16_352,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_16_353,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_352]) ).
cnf(refute_16_354,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_16_351,refute_16_353]) ).
cnf(refute_16_355,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_16_356,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_16_354,refute_16_355]) ).
cnf(refute_16_357,plain,
( h2(e13) != h2(e10)
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_16_358,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_16_356,refute_16_357]) ).
cnf(refute_16_359,plain,
( h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_358]) ).
cnf(refute_16_360,plain,
( h2(e13) != e21
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_361,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_360]) ).
cnf(refute_16_362,plain,
( h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_361]) ).
cnf(refute_16_363,plain,
( h4(op1(e12,e11)) != op2(e23,e21)
| h4(op1(e12,e11)) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e10))) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_16_364,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_16_362,refute_16_363]) ).
cnf(refute_16_365,plain,
( op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e10))) )],[refute_16_359,refute_16_364]) ).
cnf(refute_16_366,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_16_90]) ).
cnf(refute_16_367,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_16_368,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_369,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_16_367,refute_16_368]) ).
cnf(refute_16_370,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_369]) ).
cnf(refute_16_371,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_16_372,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_373,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_16_371,refute_16_372]) ).
cnf(refute_16_374,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_373]) ).
cnf(refute_16_375,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_16_376,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_16_374,refute_16_375]) ).
cnf(refute_16_377,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_16_370,refute_16_376]) ).
cnf(refute_16_378,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_16_379,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_16_377,refute_16_378]) ).
cnf(refute_16_380,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_16_366,refute_16_379]) ).
cnf(refute_16_381,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_382,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_381]) ).
cnf(refute_16_383,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_382]) ).
cnf(refute_16_384,plain,
( h2(e11) != op2(e21,h2(e13))
| op2(e21,h2(e13)) != h4(op1(e13,e11))
| h2(e11) = h4(op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h4(op1(e13,e11))) ),[0],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_16_385,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e11) = h4(op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) )],[refute_16_79,refute_16_384]) ).
cnf(refute_16_386,plain,
( h2(e11) = h4(op1(e13,e11))
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_16_383,refute_16_385]) ).
cnf(refute_16_387,plain,
( h2(e13) != e21
| h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_388,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_387]) ).
cnf(refute_16_389,plain,
( h4(op1(e13,e11)) = op2(e21,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_16_77,refute_16_388]) ).
cnf(refute_16_390,plain,
( h4(op1(e13,e11)) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h4(op1(e13,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_16_391,plain,
( h4(op1(e13,e11)) != op2(e21,e21)
| h4(op1(e13,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_390]) ).
cnf(refute_16_392,plain,
( h4(op1(e13,e11)) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,e21)) )],[refute_16_389,refute_16_391]) ).
cnf(refute_16_393,plain,
( h2(e11) != h4(op1(e13,e11))
| h4(op1(e13,e11)) != h2(e13)
| h2(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e13)) ),[0],$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_16_394,plain,
( h2(e11) != h4(op1(e13,e11))
| h2(e11) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h2(e13)) )],[refute_16_392,refute_16_393]) ).
cnf(refute_16_395,plain,
( h2(e11) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h4(op1(e13,e11))) )],[refute_16_386,refute_16_394]) ).
cnf(refute_16_396,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129 ),
inference(canonicalize,[],[normalize_16_91]) ).
cnf(refute_16_397,plain,
h2(e12) = e21,
inference(canonicalize,[],[normalize_16_22]) ).
cnf(refute_16_398,plain,
( h2(e12) != e21
| h2(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_16_399,plain,
( h2(e12) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_16_397,refute_16_398]) ).
cnf(refute_16_400,plain,
( e21 = e22
| h2(e10) = e22
| h2(e11) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_16_396,refute_16_399]) ).
cnf(refute_16_401,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_400,refute_16_187]) ).
cnf(refute_16_402,plain,
( h2(e11) != h2(e13)
| h2(e13) != e22
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_403,plain,
( h2(e11) != h2(e13)
| h2(e10) = e22
| h2(e11) = e22
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_401,refute_16_402]) ).
cnf(refute_16_404,plain,
( h2(e10) = e22
| h2(e11) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e13)) )],[refute_16_395,refute_16_403]) ).
cnf(refute_16_405,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_406,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_405]) ).
cnf(refute_16_407,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_406]) ).
cnf(refute_16_408,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_16_409,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_16_269,refute_16_408]) ).
cnf(refute_16_410,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_16_411,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_16_409,refute_16_410]) ).
cnf(refute_16_412,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_16_407,refute_16_411]) ).
cnf(refute_16_413,plain,
( h2(e11) != e22
| h2(e11) != h2(e10)
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(h2(e10))]]) ).
cnf(refute_16_414,plain,
( h2(e11) != e22
| h2(e10) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_16_412,refute_16_413]) ).
cnf(refute_16_415,plain,
( h2(e10) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_16_404,refute_16_414]) ).
cnf(refute_16_416,plain,
( h2(e10) != e22
| op2(e23,e21) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_417,plain,
( op2(e23,e21) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,e22)
| definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_16_415,refute_16_416]) ).
cnf(refute_16_418,plain,
( op2(e23,e21) = op2(e23,e22)
| definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e10))) )],[refute_16_365,refute_16_417]) ).
cnf(refute_16_419,plain,
( op2(e23,e21) != op2(e23,e22)
| op2(e23,e22) != e20
| op2(e23,e21) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),e20) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_16_420,plain,
( op2(e23,e21) != op2(e23,e22)
| op2(e23,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_419]) ).
cnf(refute_16_421,plain,
( op2(e23,e21) = e20
| definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_16_418,refute_16_420]) ).
cnf(refute_16_422,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_16_92]) ).
cnf(refute_16_423,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_16_424,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_423]) ).
cnf(refute_16_425,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_16_424,refute_16_422]) ).
cnf(refute_16_426,plain,
( definitionFOFtoCNF_129
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_16_421,refute_16_425]) ).
cnf(refute_16_427,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e22) = e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_16_426,refute_16_261]) ).
cnf(refute_16_428,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_16_93]) ).
cnf(refute_16_429,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_16_430,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_429]) ).
cnf(refute_16_431,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_16_430,refute_16_428]) ).
cnf(refute_16_432,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_16_102]) ).
cnf(refute_16_433,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_16_103]) ).
cnf(refute_16_434,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_16_115]) ).
cnf(refute_16_435,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_16_117]) ).
cnf(refute_16_436,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_16_435,refute_16_286]) ).
cnf(refute_16_437,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_16_119]) ).
cnf(refute_16_438,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_16_439,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_16_440,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_16_438,refute_16_439]) ).
cnf(refute_16_441,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_440]) ).
cnf(refute_16_442,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_16_443,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_16_441,refute_16_442]) ).
cnf(refute_16_444,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_16_443,refute_16_437]) ).
cnf(refute_16_445,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_16_446,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_447,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_16_445,refute_16_446]) ).
cnf(refute_16_448,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_447]) ).
cnf(refute_16_449,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_16_450,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_16_448,refute_16_449]) ).
cnf(refute_16_451,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_16_450,refute_16_444]) ).
cnf(refute_16_452,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_16_120]) ).
cnf(refute_16_453,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_16_454,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_452,refute_16_453]) ).
cnf(refute_16_455,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_454,refute_16_451]) ).
cnf(refute_16_456,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_16_457,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_455]) ).
cnf(refute_16_458,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_16_457,refute_16_436]) ).
cnf(refute_16_459,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_16_434,refute_16_458]) ).
cnf(refute_16_460,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_16_122]) ).
cnf(refute_16_461,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_16_460,refute_16_176]) ).
cnf(refute_16_462,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_461,refute_16_178]) ).
cnf(refute_16_463,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_16_459,refute_16_462]) ).
cnf(refute_16_464,plain,
( op2(e20,e21) != e23
| op2(e20,e23) != e23
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_16_465,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_16_463,refute_16_464]) ).
cnf(refute_16_466,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_16_465,refute_16_433]) ).
cnf(refute_16_467,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_16_123]) ).
cnf(refute_16_468,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_16_467,refute_16_458]) ).
cnf(refute_16_469,plain,
( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_16_468,refute_16_462]) ).
cnf(refute_16_470,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_16_124]) ).
cnf(refute_16_471,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_16_470,refute_16_233]) ).
cnf(refute_16_472,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_16_125]) ).
cnf(refute_16_473,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_16_474,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_473]) ).
cnf(refute_16_475,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_16_474,refute_16_472]) ).
cnf(refute_16_476,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_16_471,refute_16_475]) ).
cnf(refute_16_477,plain,
( op2(e23,e21) != e23
| op2(e23,e23) != e21
| op2(e23,op2(e23,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,op2(e23,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_16_478,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,op2(e23,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_476,refute_16_477]) ).
cnf(refute_16_479,plain,
( op2(e23,e23) != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),e21) )],[refute_16_478,refute_16_469]) ).
cnf(refute_16_480,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_16_481,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_480]) ).
cnf(refute_16_482,plain,
( e21 != e21
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_481,refute_16_479]) ).
cnf(refute_16_483,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_482]) ).
cnf(refute_16_484,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_16_485,plain,
( e23 != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_16_483,refute_16_484]) ).
cnf(refute_16_486,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_16_485,refute_16_466]) ).
cnf(refute_16_487,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_486]) ).
cnf(refute_16_488,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_16_126]) ).
cnf(refute_16_489,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_16_490,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_491,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_16_489,refute_16_490]) ).
cnf(refute_16_492,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_491]) ).
cnf(refute_16_493,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_16_494,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_495,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_16_493,refute_16_494]) ).
cnf(refute_16_496,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_495]) ).
cnf(refute_16_497,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_16_498,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_16_496,refute_16_497]) ).
cnf(refute_16_499,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_16_492,refute_16_498]) ).
cnf(refute_16_500,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_16_501,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_16_499,refute_16_500]) ).
cnf(refute_16_502,plain,
h4(op1(e11,e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_16_488,refute_16_501]) ).
cnf(refute_16_503,plain,
( h2(e13) != e23
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_504,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_16_487,refute_16_503]) ).
cnf(refute_16_505,plain,
( h4(op1(e11,e12)) = op2(e23,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_504]) ).
cnf(refute_16_506,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_16_507,plain,
( h4(op1(e11,e12)) != op2(e23,e23)
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_506]) ).
cnf(refute_16_508,plain,
( h4(op1(e11,e12)) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e23,e23)) )],[refute_16_505,refute_16_507]) ).
cnf(refute_16_509,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_16_127]) ).
cnf(refute_16_510,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_16_128]) ).
cnf(refute_16_511,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_16_512,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_511]) ).
cnf(refute_16_513,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_16_512,refute_16_510]) ).
cnf(refute_16_514,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_16_509,refute_16_513]) ).
cnf(refute_16_515,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_16_129]) ).
cnf(refute_16_516,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_16_517,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_516]) ).
cnf(refute_16_518,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_16_517,refute_16_515]) ).
cnf(refute_16_519,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_16_514,refute_16_518]) ).
cnf(refute_16_520,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_521,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_519,refute_16_520]) ).
cnf(refute_16_522,plain,
( h4(e12) = op2(h2(e13),e23)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_521]) ).
cnf(refute_16_523,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_16_524,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_523]) ).
cnf(refute_16_525,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_16_526,plain,
op2(h2(e13),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_525]) ).
cnf(refute_16_527,plain,
( e23 != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| e23 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_16_528,plain,
( e23 != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_16_526,refute_16_527]) ).
cnf(refute_16_529,plain,
( h4(e12) != op2(h2(e13),e23)
| e23 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),e23)) )],[refute_16_524,refute_16_528]) ).
cnf(refute_16_530,plain,
( e23 = h4(op1(e11,e12))
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e13),e23)) )],[refute_16_522,refute_16_529]) ).
cnf(refute_16_531,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_16_532,plain,
( e23 != h4(op1(e11,e12))
| e23 = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_16_508,refute_16_531]) ).
cnf(refute_16_533,plain,
( e23 = e21
| op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_16_530,refute_16_532]) ).
cnf(refute_16_534,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_533,refute_16_144]) ).
cnf(refute_16_535,plain,
( h4(op1(e11,e12)) != e21
| op1(e11,e12) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_536,plain,
( h4(op1(e11,e12)) != e21
| h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_534,refute_16_535]) ).
cnf(refute_16_537,plain,
( h4(e11) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_16_508,refute_16_536]) ).
cnf(refute_16_538,plain,
( h2(e13) = e21
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_16_537,refute_16_347]) ).
cnf(refute_16_539,plain,
( h2(e13) != e21
| h2(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_16_540,plain,
( h2(e13) != e23
| e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_538,refute_16_539]) ).
cnf(refute_16_541,plain,
( e21 = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_16_487,refute_16_540]) ).
cnf(refute_16_542,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_541,refute_16_99]) ).
cnf(refute_16_543,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_16_542,refute_16_432]) ).
cnf(refute_16_544,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_16_131]) ).
cnf(refute_16_545,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_16_132]) ).
cnf(refute_16_546,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_16_133]) ).
cnf(refute_16_547,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_16_546,refute_16_141]) ).
cnf(refute_16_548,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_547,refute_16_144]) ).
cnf(refute_16_549,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_16_134]) ).
cnf(refute_16_550,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_16_551,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_550]) ).
cnf(refute_16_552,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_16_551,refute_16_549]) ).
cnf(refute_16_553,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_16_554,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_553]) ).
cnf(refute_16_555,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_16_554,refute_16_552]) ).
cnf(refute_16_556,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_16_548,refute_16_555]) ).
cnf(refute_16_557,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_16_558,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_16_556,refute_16_557]) ).
cnf(refute_16_559,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_16_558,refute_16_545]) ).
cnf(refute_16_560,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_16_561,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_16_559,refute_16_560]) ).
cnf(refute_16_562,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_16_544,refute_16_561]) ).
cnf(refute_16_563,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_562,refute_16_187]) ).
cnf(refute_16_564,plain,
( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_16_563,refute_16_543]) ).
cnf(refute_16_565,plain,
( ~ definitionFOFtoCNF_24
| op2(e20,e22) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_16_181,refute_16_564]) ).
cnf(refute_16_566,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_16_136]) ).
cnf(refute_16_567,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_16_568,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_567]) ).
cnf(refute_16_569,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_16_566,refute_16_568]) ).
cnf(refute_16_570,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_16_137]) ).
cnf(refute_16_571,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_16_572,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_571]) ).
cnf(refute_16_573,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_16_572,refute_16_570]) ).
cnf(refute_16_574,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_16_575,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_574]) ).
cnf(refute_16_576,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_16_577,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_576]) ).
cnf(refute_16_578,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_16_577,refute_16_575]) ).
cnf(refute_16_579,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_16_578,refute_16_573]) ).
cnf(refute_16_580,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_16_569,refute_16_579]) ).
cnf(refute_16_581,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_16_138]) ).
cnf(refute_16_582,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_16_140]) ).
cnf(refute_16_583,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_16_584,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_165,refute_16_583]) ).
cnf(refute_16_585,plain,
( e21 = e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_16_582,refute_16_584]) ).
cnf(refute_16_586,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_585,refute_16_187]) ).
cnf(refute_16_587,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_16_588,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_586,refute_16_587]) ).
cnf(refute_16_589,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_16_588,refute_16_581]) ).
cnf(refute_16_590,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_16_141]) ).
cnf(refute_16_591,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_16_142]) ).
cnf(refute_16_592,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_16_591,refute_16_107]) ).
cnf(refute_16_593,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_16_143]) ).
cnf(refute_16_594,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_16_595,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_594]) ).
cnf(refute_16_596,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_16_595,refute_16_593]) ).
cnf(refute_16_597,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_16_598,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_597]) ).
cnf(refute_16_599,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_16_598,refute_16_596]) ).
cnf(refute_16_600,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_16_592,refute_16_599]) ).
cnf(refute_16_601,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_16_600,refute_16_557]) ).
cnf(refute_16_602,plain,
( h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_16_601,refute_16_590]) ).
cnf(refute_16_603,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_16_604,plain,
( e21 != e21
| h2(e13) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_16_602,refute_16_603]) ).
cnf(refute_16_605,plain,
( e21 != e21
| h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_16_604,refute_16_589]) ).
cnf(refute_16_606,plain,
( h2(e13) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_605]) ).
cnf(refute_16_607,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_606,refute_16_349]) ).
cnf(refute_16_608,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_16_269,refute_16_607]) ).
cnf(refute_16_609,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_16_608,refute_16_353]) ).
cnf(refute_16_610,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_16_609,refute_16_355]) ).
cnf(refute_16_611,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_16_610,refute_16_357]) ).
cnf(refute_16_612,plain,
( h4(op1(e12,e11)) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_611]) ).
cnf(refute_16_613,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_606,refute_16_360]) ).
cnf(refute_16_614,plain,
( h4(op1(e12,e11)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_613]) ).
cnf(refute_16_615,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_16_614,refute_16_363]) ).
cnf(refute_16_616,plain,
( op2(e23,e21) = op2(e23,h2(e10))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e10))) )],[refute_16_612,refute_16_615]) ).
cnf(refute_16_617,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_606,refute_16_381]) ).
cnf(refute_16_618,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_617]) ).
cnf(refute_16_619,plain,
( h2(e11) = h4(op1(e13,e11))
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_16_618,refute_16_385]) ).
cnf(refute_16_620,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_606,refute_16_387]) ).
cnf(refute_16_621,plain,
( h4(op1(e13,e11)) = op2(e21,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_16_77,refute_16_620]) ).
cnf(refute_16_622,plain,
( h4(op1(e13,e11)) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,e21)) )],[refute_16_621,refute_16_391]) ).
cnf(refute_16_623,plain,
( h2(e11) != h4(op1(e13,e11))
| h2(e11) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h2(e13)) )],[refute_16_622,refute_16_393]) ).
cnf(refute_16_624,plain,
( h2(e11) = h2(e13)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h4(op1(e13,e11))) )],[refute_16_619,refute_16_623]) ).
cnf(refute_16_625,plain,
( h2(e10) = e22
| h2(e11) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e13)) )],[refute_16_624,refute_16_403]) ).
cnf(refute_16_626,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_606,refute_16_405]) ).
cnf(refute_16_627,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_626]) ).
cnf(refute_16_628,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_16_627,refute_16_411]) ).
cnf(refute_16_629,plain,
( h2(e11) != e22
| h2(e10) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_16_628,refute_16_413]) ).
cnf(refute_16_630,plain,
( h2(e10) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_16_625,refute_16_629]) ).
cnf(refute_16_631,plain,
( op2(e23,e21) != op2(e23,h2(e10))
| op2(e23,e21) = op2(e23,e22)
| definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_16_630,refute_16_416]) ).
cnf(refute_16_632,plain,
( op2(e23,e21) = op2(e23,e22)
| definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,h2(e10))) )],[refute_16_616,refute_16_631]) ).
cnf(refute_16_633,plain,
( op2(e23,e21) = e20
| definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_16_632,refute_16_420]) ).
cnf(refute_16_634,plain,
( definitionFOFtoCNF_129
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_16_633,refute_16_425]) ).
cnf(refute_16_635,plain,
( definitionFOFtoCNF_129
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_16_634,refute_16_580]) ).
cnf(refute_16_636,plain,
( op2(e20,e22) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_16_635,refute_16_565]) ).
cnf(refute_16_637,plain,
( h1(e13) != e22
| op2(e20,e22) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_16_638,plain,
( h1(e13) != e22
| h1(e13) = op2(e20,e22)
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_16_636,refute_16_637]) ).
cnf(refute_16_639,plain,
( h1(e13) != e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_16_638,refute_16_431]) ).
cnf(refute_16_640,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_16_641,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_16_259,refute_16_640]) ).
cnf(refute_16_642,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_16_641,refute_16_104]) ).
cnf(refute_16_643,plain,
( e22 != e22
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_241,refute_16_642]) ).
cnf(refute_16_644,plain,
( h2(e13) = e21
| h2(e13) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_643]) ).
cnf(refute_16_645,plain,
( op2(e21,e21) != e22
| op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_16_646,plain,
( op2(e21,e21) != e22
| h2(e13) = e21
| h2(e13) = e23
| op2(e21,op2(e21,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_644,refute_16_645]) ).
cnf(refute_16_647,plain,
( op2(e21,e21) != e22
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_16_646,refute_16_564]) ).
cnf(refute_16_648,plain,
( h2(e13) != e22
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_16_649,plain,
( h2(e13) != e22
| op2(e21,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_648]) ).
cnf(refute_16_650,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| h2(e13) = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_16_649,refute_16_647]) ).
cnf(refute_16_651,plain,
( h2(e13) != e21
| h2(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_16_652,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| e22 = e21
| h2(e13) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_650,refute_16_651]) ).
cnf(refute_16_653,plain,
( h2(e13) != e22
| h2(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_16_654,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| e22 = e21
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_16_652,refute_16_653]) ).
cnf(refute_16_655,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| e22 = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_16_654,refute_16_189]) ).
cnf(refute_16_656,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_16_655,refute_16_91]) ).
cnf(refute_16_657,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_16_144]) ).
cnf(refute_16_658,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_16_659,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_658]) ).
cnf(refute_16_660,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_16_657,refute_16_659]) ).
cnf(refute_16_661,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_16_660,refute_16_230]) ).
cnf(refute_16_662,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| op2(e23,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_16_661,refute_16_89]) ).
cnf(refute_16_663,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_16_664,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_663]) ).
cnf(refute_16_665,plain,
( op2(e21,e22) != e21
| e23 = e22
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_16_662,refute_16_664]) ).
cnf(refute_16_666,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_16_665,refute_16_93]) ).
cnf(refute_16_667,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_16_668,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_667]) ).
cnf(refute_16_669,plain,
( op2(e21,e22) != e21
| e21 = e22
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_16_666,refute_16_668]) ).
cnf(refute_16_670,plain,
( op2(e21,e22) != e21
| h1(e13) = e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_669,refute_16_187]) ).
cnf(refute_16_671,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_16_145]) ).
cnf(refute_16_672,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_16_542,refute_16_671]) ).
cnf(refute_16_673,plain,
( ~ definitionFOFtoCNF_24
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_16_563,refute_16_672]) ).
cnf(refute_16_674,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_16_635,refute_16_673]) ).
cnf(refute_16_675,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_16_676,plain,
( e21 != e21
| op2(e21,e22) = e21
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_674,refute_16_675]) ).
cnf(refute_16_677,plain,
( e21 != e21
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_676,refute_16_670]) ).
cnf(refute_16_678,plain,
( h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_677]) ).
cnf(refute_16_679,plain,
( e22 != e22
| h1(e13) = e22
| h2(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_678,refute_16_240]) ).
cnf(refute_16_680,plain,
( e22 != e22
| ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_679,refute_16_656]) ).
cnf(refute_16_681,plain,
( ~ definitionFOFtoCNF_24
| h1(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_680]) ).
cnf(refute_16_682,plain,
( h1(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_16_635,refute_16_681]) ).
cnf(refute_16_683,plain,
( e22 != e22
| h1(e13) != e22
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_16_684,plain,
( e22 != e22
| h1(e13) = e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_16_682,refute_16_683]) ).
cnf(refute_16_685,plain,
( e22 != e22
| definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_16_684,refute_16_639]) ).
cnf(refute_16_686,plain,
( definitionFOFtoCNF_129
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_685]) ).
cnf(refute_16_687,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_16_686,refute_16_427]) ).
cnf(refute_16_688,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_16_689,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_687,refute_16_688]) ).
cnf(refute_16_690,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_16_689,refute_16_245]) ).
cnf(refute_16_691,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_16_146]) ).
cnf(refute_16_692,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_16_191,refute_16_691]) ).
cnf(refute_16_693,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_16_205,refute_16_692]) ).
cnf(refute_16_694,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_16_426,refute_16_693]) ).
cnf(refute_16_695,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_16_686,refute_16_694]) ).
cnf(refute_16_696,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_16_697,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_16_695,refute_16_696]) ).
cnf(refute_16_698,plain,
( e21 != e21
| definitionFOFtoCNF_129 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_16_697,refute_16_690]) ).
cnf(refute_16_699,plain,
definitionFOFtoCNF_129,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_698]) ).
cnf(refute_16_700,plain,
( h2(e13) = e21
| h2(e13) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_129 )],[refute_16_699,refute_16_244]) ).
cnf(refute_16_701,plain,
( h2(e13) != e23
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_702,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h2(e13) = e21
| h4(op1(e12,e11)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_16_700,refute_16_701]) ).
cnf(refute_16_703,plain,
( h2(e13) = e21
| h4(op1(e12,e11)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_702]) ).
cnf(refute_16_704,plain,
( h4(op1(e12,e11)) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(op1(e12,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_16_705,plain,
( h4(op1(e12,e11)) != op2(e23,e23)
| h4(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_704]) ).
cnf(refute_16_706,plain,
( h2(e13) = e21
| h4(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e23)) )],[refute_16_703,refute_16_705]) ).
cnf(refute_16_707,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_16_147]) ).
cnf(refute_16_708,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_16_148]) ).
cnf(refute_16_709,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_16_149]) ).
cnf(refute_16_710,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_16_711,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_710]) ).
cnf(refute_16_712,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_16_711,refute_16_709]) ).
cnf(refute_16_713,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_16_708,refute_16_712]) ).
cnf(refute_16_714,plain,
( op1(e12,e10) != e11
| op1(e12,e11) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_16_715,plain,
( op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11)
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_713,refute_16_714]) ).
cnf(refute_16_716,plain,
( op1(e12,e10) != e11
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_16_715,refute_16_707]) ).
cnf(refute_16_717,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_16_151]) ).
cnf(refute_16_718,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_16_719,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_718]) ).
cnf(refute_16_720,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_16_717,refute_16_719]) ).
cnf(refute_16_721,plain,
e11 != e13,
inference(canonicalize,[],[normalize_16_153]) ).
cnf(refute_16_722,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_16_723,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_722,refute_16_721]) ).
cnf(refute_16_724,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_16_720,refute_16_723]) ).
cnf(refute_16_725,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_16_154]) ).
cnf(refute_16_726,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_16_155]) ).
cnf(refute_16_727,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_16_728,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_16_729,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_16_727,refute_16_728]) ).
cnf(refute_16_730,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_729]) ).
cnf(refute_16_731,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_16_732,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_733,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_16_731,refute_16_732]) ).
cnf(refute_16_734,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_733]) ).
cnf(refute_16_735,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_16_736,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_16_734,refute_16_735]) ).
cnf(refute_16_737,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_16_730,refute_16_736]) ).
cnf(refute_16_738,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_16_739,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_16_737,refute_16_738]) ).
cnf(refute_16_740,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_16_726,refute_16_739]) ).
cnf(refute_16_741,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_16_742,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_16_740,refute_16_741]) ).
cnf(refute_16_743,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_16_744,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_743]) ).
cnf(refute_16_745,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_16_744,refute_16_725]) ).
cnf(refute_16_746,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_16_724,refute_16_745]) ).
cnf(refute_16_747,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op1(e12,e11) != e11
| h4(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_748,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(e11) = op2(e23,h2(e13))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_746,refute_16_747]) ).
cnf(refute_16_749,plain,
( h4(e11) = op2(e23,h2(e13))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_748]) ).
cnf(refute_16_750,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(e23,h2(e13))
| h2(e13) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e23,h2(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_751,plain,
( h4(e11) != op2(e23,h2(e13))
| h2(e13) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_750]) ).
cnf(refute_16_752,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h4(op1(e12,e11)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_16_753,plain,
op2(e23,h2(e13)) = h4(op1(e12,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_752]) ).
cnf(refute_16_754,plain,
( h2(e13) != op2(e23,h2(e13))
| op2(e23,h2(e13)) != h4(op1(e12,e11))
| h2(e13) = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e12,e11))) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_16_755,plain,
( h2(e13) != op2(e23,h2(e13))
| h2(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h4(op1(e12,e11))) )],[refute_16_753,refute_16_754]) ).
cnf(refute_16_756,plain,
( h4(e11) != op2(e23,h2(e13))
| h2(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h2(e13))) )],[refute_16_751,refute_16_755]) ).
cnf(refute_16_757,plain,
( h2(e13) = h4(op1(e12,e11))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,h2(e13))) )],[refute_16_749,refute_16_756]) ).
cnf(refute_16_758,plain,
( h2(e13) != h4(op1(e12,e11))
| h4(op1(e12,e11)) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),e21) ),[0],$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_16_759,plain,
( h2(e13) != h4(op1(e12,e11))
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_16_706,refute_16_758]) ).
cnf(refute_16_760,plain,
( h2(e13) = e21
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e12,e11))) )],[refute_16_757,refute_16_759]) ).
cnf(refute_16_761,plain,
( e11 != e11
| op1(e12,e10) != e11
| op1(e12,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_16_762,plain,
( e11 != e11
| h2(e13) = e21
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_760,refute_16_761]) ).
cnf(refute_16_763,plain,
( e11 != e11
| h2(e13) = e21
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_762,refute_16_716]) ).
cnf(refute_16_764,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_16_765,plain,
( h2(e13) = e21
| op1(e12,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_763]) ).
cnf(refute_16_766,plain,
( h4(op1(e12,e11)) != e21
| op1(e12,e11) != e10
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e21) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_767,plain,
( h4(op1(e12,e11)) != e21
| h2(e13) = e21
| h4(e10) = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_16_765,refute_16_766]) ).
cnf(refute_16_768,plain,
( h2(e13) = e21
| h4(e10) = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_16_706,refute_16_767]) ).
cnf(refute_16_769,plain,
( h2(e13) = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_16_768,refute_16_579]) ).
cnf(refute_16_770,plain,
( h4(op1(e12,e11)) != e21
| op1(e12,e11) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_771,plain,
( h4(op1(e12,e11)) != e21
| h2(e13) = e21
| h4(e12) = e21 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_769,refute_16_770]) ).
cnf(refute_16_772,plain,
( h2(e13) = e21
| h4(e12) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_16_706,refute_16_771]) ).
cnf(refute_16_773,plain,
( e23 = e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_16_772,refute_16_340]) ).
cnf(refute_16_774,plain,
h2(e13) = e21,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_773,refute_16_144]) ).
cnf(refute_16_775,plain,
( h2(e13) != e21
| h2(e13) != op2(e21,e21)
| e21 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(e21,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_16_776,plain,
( h2(e13) != op2(e21,e21)
| e21 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_775]) ).
cnf(refute_16_777,plain,
e21 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_16_1,refute_16_776]) ).
cnf(refute_16_778,plain,
( e21 != op2(e21,e21)
| op2(e21,e21) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_16_779,plain,
op2(e21,e21) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e21)) )],[refute_16_777,refute_16_778]) ).
cnf(refute_16_780,plain,
op2(e21,h2(e13)) = op2(e21,h2(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_16_781,plain,
( h2(e13) != e21
| op2(e21,h2(e13)) != op2(e21,h2(e13))
| op2(e21,h2(e13)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_782,plain,
( h2(e13) != e21
| op2(e21,h2(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),op2(e21,h2(e13))) )],[refute_16_780,refute_16_781]) ).
cnf(refute_16_783,plain,
op2(e21,h2(e13)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_782]) ).
cnf(refute_16_784,plain,
( op2(e21,e21) != e21
| op2(e21,h2(e13)) != op2(e21,e21)
| op2(e21,h2(e13)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(e21,h2(e13)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_785,plain,
( op2(e21,e21) != e21
| op2(e21,h2(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),op2(e21,e21)) )],[refute_16_783,refute_16_784]) ).
cnf(refute_16_786,plain,
op2(e21,h2(e13)) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_16_779,refute_16_785]) ).
cnf(refute_16_787,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| op2(e21,h2(e13)) != e21
| h4(op1(e13,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),e21) ),[0],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_16_788,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_16_786,refute_16_787]) ).
cnf(refute_16_789,plain,
h4(op1(e13,e11)) = e21,
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_16_77,refute_16_788]) ).
cnf(refute_16_790,plain,
( e21 != e21
| h4(op1(e13,e11)) != e21
| h4(op1(e13,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_16_791,plain,
( e21 != e21
| h4(op1(e13,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_16_789,refute_16_790]) ).
cnf(refute_16_792,plain,
( e21 != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_16_791,refute_16_206]) ).
cnf(refute_16_793,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_792]) ).
cnf(refute_16_794,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_172]) ).
cnf(refute_16_795,plain,
( ~ definitionFOFtoCNF_2
| ~ definitionFOFtoCNF_4
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_16_174]) ).
cnf(refute_16_796,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_16_176]) ).
cnf(refute_16_797,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_16_798,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_797]) ).
cnf(refute_16_799,plain,
( e13 = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_16_796,refute_16_798]) ).
cnf(refute_16_800,plain,
e12 != e13,
inference(canonicalize,[],[normalize_16_177]) ).
cnf(refute_16_801,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_16_802,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_16_801,refute_16_800]) ).
cnf(refute_16_803,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_16_799,refute_16_802]) ).
cnf(refute_16_804,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_16_803,refute_16_795]) ).
cnf(refute_16_805,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_16_806,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_805]) ).
cnf(refute_16_807,plain,
( ~ definitionFOFtoCNF_2
| e11 = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_16_804,refute_16_806]) ).
cnf(refute_16_808,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_807,refute_16_721]) ).
cnf(refute_16_809,plain,
( op1(e11,op1(e11,e11)) != e11
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_16_179]) ).
cnf(refute_16_810,plain,
( op1(e10,op1(e10,e10)) != e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_16_181]) ).
cnf(refute_16_811,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_3 ),
inference(canonicalize,[],[normalize_16_182]) ).
cnf(refute_16_812,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_16_813,plain,
( op1(e10,op1(e10,e10)) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_16_811,refute_16_812]) ).
cnf(refute_16_814,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_16_813,refute_16_810]) ).
cnf(refute_16_815,plain,
( op1(e11,op1(e11,e11)) != e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_16_814,refute_16_809]) ).
cnf(refute_16_816,plain,
( ~ definitionFOFtoCNF_3
| op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_16_183]) ).
cnf(refute_16_817,plain,
( op1(e11,e11) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_16_814,refute_16_816]) ).
cnf(refute_16_818,plain,
( op1(e11,e11) != e11
| op1(e11,op1(e11,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e11,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_16_819,plain,
( op1(e11,op1(e11,e11)) = e11
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_16_817,refute_16_818]) ).
cnf(refute_16_820,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),e11) )],[refute_16_819,refute_16_815]) ).
cnf(refute_16_821,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_16_820,refute_16_808]) ).
cnf(refute_16_822,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_5
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_16_821,refute_16_794]) ).
cnf(refute_16_823,plain,
( ~ definitionFOFtoCNF_6
| op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_16_185]) ).
cnf(refute_16_824,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_6 ),
inference(canonicalize,[],[normalize_16_187]) ).
cnf(refute_16_825,plain,
definitionFOFtoCNF_6,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_16_824,refute_16_334]) ).
cnf(refute_16_826,plain,
( op1(e13,e10) = e10
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_6 )],[refute_16_825,refute_16_823]) ).
cnf(refute_16_827,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_16_188]) ).
cnf(refute_16_828,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_16_829,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_828]) ).
cnf(refute_16_830,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_16_829,refute_16_827]) ).
cnf(refute_16_831,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_16_826,refute_16_830]) ).
cnf(refute_16_832,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_16_831,refute_16_822]) ).
cnf(refute_16_833,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_16_189]) ).
cnf(refute_16_834,plain,
( op1(e11,e10) != e12
| op1(e11,e12) != e12
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_16_835,plain,
( op1(e11,e10) != e12
| op1(e11,e10) = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_519,refute_16_834]) ).
cnf(refute_16_836,plain,
( op1(e11,e10) != e12
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_16_835,refute_16_833]) ).
cnf(refute_16_837,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(canonicalize,[],[normalize_16_190]) ).
cnf(refute_16_838,plain,
( e12 != e12
| op1(e11,e10) != e12
| op1(e11,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_16_839,plain,
( e12 != e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_16_837,refute_16_838]) ).
cnf(refute_16_840,plain,
( e12 != e12
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_16_839,refute_16_836]) ).
cnf(refute_16_841,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_16_842,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_840]) ).
cnf(refute_16_843,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_844,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_519,refute_16_843]) ).
cnf(refute_16_845,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_844]) ).
cnf(refute_16_846,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_847,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_846]) ).
cnf(refute_16_848,plain,
( h2(e13) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(op1(e11,e12))
| h2(e13) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_16_849,plain,
( h2(e13) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(op1(e11,e12))) )],[refute_16_526,refute_16_848]) ).
cnf(refute_16_850,plain,
( h4(e11) != op2(h2(e13),e23)
| h2(e13) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),e23)) )],[refute_16_847,refute_16_849]) ).
cnf(refute_16_851,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_16_845,refute_16_850]) ).
cnf(refute_16_852,plain,
( h2(e13) != e21
| h2(e13) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) ),[0],$fot(e21)]]) ).
cnf(refute_16_853,plain,
( h2(e13) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_852]) ).
cnf(refute_16_854,plain,
op2(h2(e13),e23) = op2(h2(e13),e23),
introduced(tautology,[refl,[$fot(op2(h2(e13),e23))]]) ).
cnf(refute_16_855,plain,
( h2(e13) != e21
| op2(h2(e13),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(h2(e13),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_856,plain,
( h2(e13) != e21
| op2(h2(e13),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(h2(e13),e23)) )],[refute_16_854,refute_16_855]) ).
cnf(refute_16_857,plain,
op2(h2(e13),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_856]) ).
cnf(refute_16_858,plain,
( op2(e21,e23) != h4(e10)
| op2(h2(e13),e23) != op2(e21,e23)
| op2(h2(e13),e23) = h4(e10) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h4(e10)))]]) ).
cnf(refute_16_859,plain,
( op2(e21,e23) != h4(e10)
| op2(h2(e13),e23) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,e23)) )],[refute_16_857,refute_16_858]) ).
cnf(refute_16_860,plain,
op2(h2(e13),e23) = h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_859]) ).
cnf(refute_16_861,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| op2(h2(e13),e23) != h4(e10)
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h4(e10)) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_16_862,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h4(e10)) )],[refute_16_860,refute_16_861]) ).
cnf(refute_16_863,plain,
h4(op1(e11,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_862]) ).
cnf(refute_16_864,plain,
( e21 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != h4(e10)
| e21 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e10)) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_16_865,plain,
( e21 != h4(op1(e11,e12))
| e21 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_16_863,refute_16_864]) ).
cnf(refute_16_866,plain,
( h2(e13) != h4(op1(e11,e12))
| e21 = h4(e10) ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e11,e12))) )],[refute_16_853,refute_16_865]) ).
cnf(refute_16_867,plain,
( e21 = h4(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_16_851,refute_16_866]) ).
cnf(refute_16_868,plain,
( e21 != h4(e10)
| h4(e10) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_16_869,plain,
e21 != h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_16_868,refute_16_579]) ).
cnf(refute_16_870,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_16_867,refute_16_869]) ).
cnf(refute_16_871,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_16_872,plain,
( op1(e11,e12) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_870,refute_16_871]) ).
cnf(refute_16_873,plain,
( e12 = e11
| op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_842,refute_16_872]) ).
cnf(refute_16_874,plain,
e11 != e12,
inference(canonicalize,[],[normalize_16_191]) ).
cnf(refute_16_875,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_16_876,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_16_875,refute_16_874]) ).
cnf(refute_16_877,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_16_873,refute_16_876]) ).
cnf(refute_16_878,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_16_192]) ).
cnf(refute_16_879,plain,
( h2(e13) != e21
| h2(e13) != h4(op1(e12,e11))
| e21 = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h4(op1(e12,e11))) ),[0],$fot(e21)]]) ).
cnf(refute_16_880,plain,
( h2(e13) != h4(op1(e12,e11))
| e21 = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_879]) ).
cnf(refute_16_881,plain,
op2(e23,h2(e13)) = op2(e23,h2(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_16_882,plain,
( h2(e13) != e21
| op2(e23,h2(e13)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_883,plain,
( h2(e13) != e21
| op2(e23,h2(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) )],[refute_16_881,refute_16_882]) ).
cnf(refute_16_884,plain,
op2(e23,h2(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_883]) ).
cnf(refute_16_885,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) != op2(e23,e21)
| h4(op1(e12,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,e21)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_16_886,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,e21)) )],[refute_16_884,refute_16_885]) ).
cnf(refute_16_887,plain,
h4(op1(e12,e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_886]) ).
cnf(refute_16_888,plain,
( e21 != h4(op1(e12,e11))
| h4(op1(e12,e11)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_16_889,plain,
( e21 != h4(op1(e12,e11))
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_16_887,refute_16_888]) ).
cnf(refute_16_890,plain,
( h2(e13) != h4(op1(e12,e11))
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e12,e11))) )],[refute_16_880,refute_16_889]) ).
cnf(refute_16_891,plain,
( e21 = op2(e23,e21)
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e12,e11))) )],[refute_16_757,refute_16_890]) ).
cnf(refute_16_892,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_16_893,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_16_892,refute_16_599]) ).
cnf(refute_16_894,plain,
op1(e12,e10) = e11,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_16_891,refute_16_893]) ).
cnf(refute_16_895,plain,
( op1(e11,e10) != e11
| op1(e12,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_16_896,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_894,refute_16_895]) ).
cnf(refute_16_897,plain,
op1(e11,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_16_896,refute_16_878]) ).
cnf(refute_16_898,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_16_877,refute_16_897]) ).
cnf(refute_16_899,plain,
op1(e11,e10) != op1(e11,e13),
inference(canonicalize,[],[normalize_16_193]) ).
cnf(refute_16_900,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_16_194]) ).
cnf(refute_16_901,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e13)))]]) ).
cnf(refute_16_902,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_903,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_16_901,refute_16_902]) ).
cnf(refute_16_904,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_903]) ).
cnf(refute_16_905,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_16_906,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_907,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_16_905,refute_16_906]) ).
cnf(refute_16_908,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_907]) ).
cnf(refute_16_909,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),h4(e13)))),bind(Z,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_16_910,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_16_908,refute_16_909]) ).
cnf(refute_16_911,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),e21)) )],[refute_16_904,refute_16_910]) ).
cnf(refute_16_912,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_16_913,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),e21)) )],[refute_16_911,refute_16_912]) ).
cnf(refute_16_914,plain,
op2(h4(e11),h4(e13)) = h2(e10),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_16_409,refute_16_913]) ).
cnf(refute_16_915,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != h2(e10)
| h4(op1(e11,e13)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),h2(e10)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_16_916,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),h2(e10)) )],[refute_16_914,refute_16_915]) ).
cnf(refute_16_917,plain,
h4(op1(e11,e13)) = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_16_900,refute_16_916]) ).
cnf(refute_16_918,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_16_195]) ).
cnf(refute_16_919,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_16_196]) ).
cnf(refute_16_920,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_16_921,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_920]) ).
cnf(refute_16_922,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_16_921,refute_16_919]) ).
cnf(refute_16_923,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_16_918,refute_16_922]) ).
cnf(refute_16_924,plain,
( h4(op1(e11,e13)) != h2(e10)
| op1(e11,e13) != e12
| h4(e12) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_925,plain,
( h4(op1(e11,e13)) != h2(e10)
| h4(e12) = h2(e10)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_16_923,refute_16_924]) ).
cnf(refute_16_926,plain,
( h4(e12) = h2(e10)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_16_917,refute_16_925]) ).
cnf(refute_16_927,plain,
( h4(e12) != e23
| h4(e12) != h2(e10)
| e23 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_16_928,plain,
( h4(e12) != h2(e10)
| e23 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_927]) ).
cnf(refute_16_929,plain,
( e23 = h2(e10)
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e10)) )],[refute_16_926,refute_16_928]) ).
cnf(refute_16_930,plain,
op2(h2(e13),e21) = op2(h2(e13),e21),
introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).
cnf(refute_16_931,plain,
( h2(e13) != e21
| op2(h2(e13),e21) != op2(h2(e13),e21)
| op2(h2(e13),e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_932,plain,
( h2(e13) != e21
| op2(h2(e13),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_16_930,refute_16_931]) ).
cnf(refute_16_933,plain,
op2(h2(e13),e21) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_932]) ).
cnf(refute_16_934,plain,
( op2(e21,e21) != e21
| op2(h2(e13),e21) != op2(e21,e21)
| op2(h2(e13),e21) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h2(e13),e21))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_935,plain,
( op2(e21,e21) != e21
| op2(h2(e13),e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e21,e21)) )],[refute_16_933,refute_16_934]) ).
cnf(refute_16_936,plain,
op2(h2(e13),e21) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_16_779,refute_16_935]) ).
cnf(refute_16_937,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) != e21
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e21) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_16_938,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),e21) )],[refute_16_936,refute_16_937]) ).
cnf(refute_16_939,plain,
h2(e10) = e21,
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_16_269,refute_16_938]) ).
cnf(refute_16_940,plain,
( e23 != h2(e10)
| h2(e10) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_16_941,plain,
( e23 != h2(e10)
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_16_939,refute_16_940]) ).
cnf(refute_16_942,plain,
( e23 = e21
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e23,h2(e10)) )],[refute_16_929,refute_16_941]) ).
cnf(refute_16_943,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_942,refute_16_144]) ).
cnf(refute_16_944,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_16_197]) ).
cnf(refute_16_945,plain,
( h4(op1(e11,e13)) != h2(e10)
| op1(e11,e13) != e10
| h4(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_946,plain,
( h4(op1(e11,e13)) != h2(e10)
| h4(e10) = h2(e10)
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_16_923,refute_16_945]) ).
cnf(refute_16_947,plain,
( h4(e10) = h2(e10)
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_16_917,refute_16_946]) ).
cnf(refute_16_948,plain,
( e12 != op1(e12,e13)
| op1(e11,e13) != e12
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_16_949,plain,
( e12 != op1(e12,e13)
| h4(e10) = h2(e10)
| op1(e11,e13) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_16_947,refute_16_948]) ).
cnf(refute_16_950,plain,
( e12 != op1(e12,e13)
| h4(e10) = h2(e10)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_16_949,refute_16_944]) ).
cnf(refute_16_951,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_16_198]) ).
cnf(refute_16_952,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_16_199]) ).
cnf(refute_16_953,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_16_954,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_953]) ).
cnf(refute_16_955,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_16_954,refute_16_952]) ).
cnf(refute_16_956,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_16_957,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_16_956,refute_16_955]) ).
cnf(refute_16_958,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_16_951,refute_16_957]) ).
cnf(refute_16_959,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_16_958,refute_16_745]) ).
cnf(refute_16_960,plain,
( e12 != e12
| op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_16_961,plain,
( e12 != e12
| e12 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_16_959,refute_16_960]) ).
cnf(refute_16_962,plain,
( e12 != e12
| h4(e10) = h2(e10)
| op1(e11,e13) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_16_961,refute_16_950]) ).
cnf(refute_16_963,plain,
( h4(e10) = h2(e10)
| op1(e11,e13) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_962]) ).
cnf(refute_16_964,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_16_965,plain,
( op1(e11,e13) != e10
| h4(e10) = h2(e10)
| op1(e11,e13) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_16_963,refute_16_964]) ).
cnf(refute_16_966,plain,
( op1(e11,e13) != e10
| h4(e10) = h2(e10)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_16_965,refute_16_944]) ).
cnf(refute_16_967,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_16_968,plain,
( op1(e11,e13) != e10
| e10 = e13
| h4(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_966,refute_16_967]) ).
cnf(refute_16_969,plain,
e10 != e13,
inference(canonicalize,[],[normalize_16_200]) ).
cnf(refute_16_970,plain,
( op1(e11,e13) != e10
| h4(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_16_968,refute_16_969]) ).
cnf(refute_16_971,plain,
( e23 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_16_972,plain,
( e23 != h4(op1(e11,e12))
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_16_863,refute_16_971]) ).
cnf(refute_16_973,plain,
( e23 = h4(e10)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e11,e12))) )],[refute_16_530,refute_16_972]) ).
cnf(refute_16_974,plain,
( e12 = e11
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_973,refute_16_872]) ).
cnf(refute_16_975,plain,
e23 = h4(e10),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_16_974,refute_16_876]) ).
cnf(refute_16_976,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_16_977,plain,
h4(e10) = e23,
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_16_975,refute_16_976]) ).
cnf(refute_16_978,plain,
( h4(e10) != e23
| h4(e10) != h2(e10)
| e23 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h2(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_16_979,plain,
( h4(e10) != h2(e10)
| e23 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_978]) ).
cnf(refute_16_980,plain,
( h4(e10) != h2(e10)
| e23 = e21 ),
inference(resolve,[$cnf( $equal(e23,h2(e10)) )],[refute_16_979,refute_16_941]) ).
cnf(refute_16_981,plain,
( op1(e11,e13) != e10
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),h2(e10)) )],[refute_16_970,refute_16_980]) ).
cnf(refute_16_982,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_981,refute_16_144]) ).
cnf(refute_16_983,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_16_943,refute_16_982]) ).
cnf(refute_16_984,plain,
( op1(e11,e10) != e13
| op1(e11,e13) != e13
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_16_985,plain,
( op1(e11,e10) != e13
| op1(e11,e10) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_983,refute_16_984]) ).
cnf(refute_16_986,plain,
op1(e11,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_16_985,refute_16_899]) ).
cnf(refute_16_987,plain,
op1(e11,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_16_898,refute_16_986]) ).
cnf(refute_16_988,plain,
op1(e11,op1(e11,e10)) = op1(e11,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e10)))]]) ).
cnf(refute_16_989,plain,
( op1(e11,e10) != e10
| op1(e11,op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(e11,op1(e11,e10)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) ),[1,1],$fot(e10)]]) ).
cnf(refute_16_990,plain,
( op1(e11,e10) != e10
| op1(e11,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_16_988,refute_16_989]) ).
cnf(refute_16_991,plain,
op1(e11,op1(e11,e10)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_987,refute_16_990]) ).
cnf(refute_16_992,plain,
( op1(e11,e10) != e10
| op1(e11,op1(e11,e10)) != op1(e11,e10)
| op1(e11,op1(e11,e10)) = e10 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op1(e11,op1(e11,e10)))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_16_993,plain,
( op1(e11,e10) != e10
| op1(e11,op1(e11,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,e10)) )],[refute_16_991,refute_16_992]) ).
cnf(refute_16_994,plain,
op1(e11,op1(e11,e10)) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_987,refute_16_993]) ).
cnf(refute_16_995,plain,
( e10 != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e11,op1(e11,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e10)),e10) ),[0,1,1],$fot(e10)]]) ).
cnf(refute_16_996,plain,
( e10 != e10
| op1(e11,op1(e11,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),e10) )],[refute_16_994,refute_16_995]) ).
cnf(refute_16_997,plain,
( e10 != e10
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),e10) )],[refute_16_996,refute_16_832]) ).
cnf(refute_16_998,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_16_999,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_997]) ).
cnf(refute_16_1000,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(canonicalize,[],[normalize_16_207]) ).
cnf(refute_16_1001,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_16_208]) ).
cnf(refute_16_1002,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_16_1003,plain,
op2(op2(e22,e22),op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_16,refute_16_1002]) ).
cnf(refute_16_1004,plain,
( h3(e11) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),e21) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_16_1005,plain,
( h3(e11) != op2(op2(e22,e22),op2(e22,e22))
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e21) )],[refute_16_1003,refute_16_1004]) ).
cnf(refute_16_1006,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_1001,refute_16_1005]) ).
cnf(refute_16_1007,plain,
h3(op1(e13,e13)) = h3(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e13)))]]) ).
cnf(refute_16_1008,plain,
( h3(op1(e13,e13)) != h3(op1(e13,e13))
| op1(e13,e13) != e11
| h3(op1(e13,e13)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_16_1009,plain,
( op1(e13,e13) != e11
| h3(op1(e13,e13)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) )],[refute_16_1007,refute_16_1008]) ).
cnf(refute_16_1010,plain,
h3(op1(e13,e13)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_1009]) ).
cnf(refute_16_1011,plain,
( h3(e11) != e21
| h3(op1(e13,e13)) != h3(e11)
| h3(op1(e13,e13)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e13,e13)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_1012,plain,
( h3(e11) != e21
| h3(op1(e13,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(e11)) )],[refute_16_1010,refute_16_1011]) ).
cnf(refute_16_1013,plain,
h3(op1(e13,e13)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1012]) ).
cnf(refute_16_1014,plain,
( e21 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) != e21
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),e21) ),[1],$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_16_1015,plain,
( e21 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),e21) )],[refute_16_1013,refute_16_1014]) ).
cnf(refute_16_1016,plain,
op2(e23,h3(e13)) = op2(e23,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e13)))]]) ).
cnf(refute_16_1017,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,h3(e13))
| op2(e23,h3(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_1018,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) )],[refute_16_1016,refute_16_1017]) ).
cnf(refute_16_1019,plain,
op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_16_1020,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1021,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) )],[refute_16_1019,refute_16_1020]) ).
cnf(refute_16_1022,plain,
( op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,h3(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_1023,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,h3(e13))) )],[refute_16_1021,refute_16_1022]) ).
cnf(refute_16_1024,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,e23)) )],[refute_16_1018,refute_16_1023]) ).
cnf(refute_16_1025,plain,
( op2(e23,e23) != e21
| op2(h3(e13),h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_1026,plain,
( h3(e13) != e23
| op2(e23,e23) != e21
| op2(h3(e13),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,e23)) )],[refute_16_1024,refute_16_1025]) ).
cnf(refute_16_1027,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_1026]) ).
cnf(refute_16_1028,plain,
( e21 != e21
| op2(h3(e13),h3(e13)) != e21
| e21 = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h3(e13),h3(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_16_1029,plain,
( e21 != e21
| h3(e13) != e23
| e21 = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),e21) )],[refute_16_1027,refute_16_1028]) ).
cnf(refute_16_1030,plain,
( e21 != e21
| h3(e13) != e23
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h3(e13),h3(e13))) )],[refute_16_1029,refute_16_1015]) ).
cnf(refute_16_1031,plain,
( e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),op2(h3(e13),h3(e13))) )],[refute_16_1030,refute_16_1000]) ).
cnf(refute_16_1032,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_16_209]) ).
cnf(refute_16_1033,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = e20 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),e22)))]]) ).
cnf(refute_16_1034,plain,
op2(op2(e22,e22),e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_16_146,refute_16_1033]) ).
cnf(refute_16_1035,plain,
( h3(e10) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_16_1036,plain,
( h3(e10) != op2(op2(e22,e22),e22)
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),e20) )],[refute_16_1034,refute_16_1035]) ).
cnf(refute_16_1037,plain,
h3(e10) = e20,
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),e22)) )],[refute_16_1032,refute_16_1036]) ).
cnf(refute_16_1038,plain,
h3(op1(e13,e12)) = h3(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e12)))]]) ).
cnf(refute_16_1039,plain,
( h3(op1(e13,e12)) != h3(op1(e13,e12))
| op1(e13,e12) != e10
| h3(op1(e13,e12)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_16_1040,plain,
( op1(e13,e12) != e10
| h3(op1(e13,e12)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) )],[refute_16_1038,refute_16_1039]) ).
cnf(refute_16_1041,plain,
h3(op1(e13,e12)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_1040]) ).
cnf(refute_16_1042,plain,
( h3(e10) != e20
| h3(op1(e13,e12)) != h3(e10)
| h3(op1(e13,e12)) = e20 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e13,e12)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_16_1043,plain,
( h3(e10) != e20
| h3(op1(e13,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(e10)) )],[refute_16_1041,refute_16_1042]) ).
cnf(refute_16_1044,plain,
h3(op1(e13,e12)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1043]) ).
cnf(refute_16_1045,plain,
( e20 != op2(h3(e13),h3(e12))
| h3(op1(e13,e12)) != e20
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),e20) ),[1],$fot(op2(h3(e13),h3(e12)))]]) ).
cnf(refute_16_1046,plain,
( e20 != op2(h3(e13),h3(e12))
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),e20) )],[refute_16_1044,refute_16_1045]) ).
cnf(refute_16_1047,plain,
h3(e12) = e22,
inference(canonicalize,[],[normalize_16_24]) ).
cnf(refute_16_1048,plain,
op2(e23,h3(e12)) = op2(e23,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e12)))]]) ).
cnf(refute_16_1049,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) != op2(e23,h3(e12))
| op2(e23,h3(e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_1050,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) )],[refute_16_1048,refute_16_1049]) ).
cnf(refute_16_1051,plain,
op2(e23,h3(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1050]) ).
cnf(refute_16_1052,plain,
op2(h3(e13),h3(e12)) = op2(h3(e13),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e12)))]]) ).
cnf(refute_16_1053,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) != op2(h3(e13),h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1054,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) )],[refute_16_1052,refute_16_1053]) ).
cnf(refute_16_1055,plain,
( op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) != op2(e23,h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,h3(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_16_1056,plain,
( h3(e13) != e23
| op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,h3(e12))) )],[refute_16_1054,refute_16_1055]) ).
cnf(refute_16_1057,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,e22)) )],[refute_16_1051,refute_16_1056]) ).
cnf(refute_16_1058,plain,
( op2(e23,e22) != e20
| op2(h3(e13),h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) = e20 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_16_1059,plain,
( h3(e13) != e23
| op2(e23,e22) != e20
| op2(h3(e13),h3(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,e22)) )],[refute_16_1057,refute_16_1058]) ).
cnf(refute_16_1060,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_16_155,refute_16_1059]) ).
cnf(refute_16_1061,plain,
( e20 != e20
| op2(h3(e13),h3(e12)) != e20
| e20 = op2(h3(e13),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e13),h3(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_16_1062,plain,
( e20 != e20
| h3(e13) != e23
| e20 = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),e20) )],[refute_16_1060,refute_16_1061]) ).
cnf(refute_16_1063,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e13),h3(e12))) )],[refute_16_1062,refute_16_1046]) ).
cnf(refute_16_1064,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),op2(h3(e13),h3(e12))) )],[refute_16_1063,refute_16_1031]) ).
cnf(refute_16_1065,plain,
op2(e23,h3(e11)) = op2(e23,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e11)))]]) ).
cnf(refute_16_1066,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) != op2(e23,h3(e11))
| op2(e23,h3(e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_1067,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) )],[refute_16_1065,refute_16_1066]) ).
cnf(refute_16_1068,plain,
op2(e23,h3(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1067]) ).
cnf(refute_16_1069,plain,
op2(h3(e13),h3(e11)) = op2(h3(e13),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e11)))]]) ).
cnf(refute_16_1070,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) != op2(h3(e13),h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1071,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) )],[refute_16_1069,refute_16_1070]) ).
cnf(refute_16_1072,plain,
( op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) != op2(e23,h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e11)))),bind(Y,$fot(op2(e23,h3(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_16_1073,plain,
( h3(e13) != e23
| op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,h3(e11))) )],[refute_16_1071,refute_16_1072]) ).
cnf(refute_16_1074,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,e21)) )],[refute_16_1068,refute_16_1073]) ).
cnf(refute_16_1075,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) != op2(e23,e21)
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_16_1076,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,e21)) )],[refute_16_1074,refute_16_1075]) ).
cnf(refute_16_1077,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) )],[refute_16_1076,refute_16_1064]) ).
cnf(refute_16_1078,plain,
op2(e23,h3(e10)) = op2(e23,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e10)))]]) ).
cnf(refute_16_1079,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) != op2(e23,h3(e10))
| op2(e23,h3(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_16_1080,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) )],[refute_16_1078,refute_16_1079]) ).
cnf(refute_16_1081,plain,
op2(e23,h3(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1080]) ).
cnf(refute_16_1082,plain,
op2(h3(e13),h3(e10)) = op2(h3(e13),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e10)))]]) ).
cnf(refute_16_1083,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) != op2(h3(e13),h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1084,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) )],[refute_16_1082,refute_16_1083]) ).
cnf(refute_16_1085,plain,
( op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) != op2(e23,h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e13),h3(e10)))),bind(Y,$fot(op2(e23,h3(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_16_1086,plain,
( h3(e13) != e23
| op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,h3(e10))) )],[refute_16_1084,refute_16_1085]) ).
cnf(refute_16_1087,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,e20)) )],[refute_16_1081,refute_16_1086]) ).
cnf(refute_16_1088,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) != op2(e23,e20)
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_16_1089,plain,
( h3(e13) != e23
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,e20)) )],[refute_16_1087,refute_16_1088]) ).
cnf(refute_16_1090,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) )],[refute_16_1089,refute_16_1077]) ).
cnf(refute_16_1091,plain,
op2(e22,h3(e13)) = op2(e22,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e13)))]]) ).
cnf(refute_16_1092,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) != op2(e22,h3(e13))
| op2(e22,h3(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_1093,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) )],[refute_16_1091,refute_16_1092]) ).
cnf(refute_16_1094,plain,
op2(h3(e12),h3(e13)) = op2(h3(e12),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e13)))]]) ).
cnf(refute_16_1095,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) != op2(h3(e12),h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_16_1096,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) )],[refute_16_1094,refute_16_1095]) ).
cnf(refute_16_1097,plain,
op2(h3(e12),h3(e13)) = op2(e22,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1096]) ).
cnf(refute_16_1098,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) != op2(e22,h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e12),h3(e13)))),bind(Y,$fot(op2(e22,h3(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_16_1099,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,h3(e13))) )],[refute_16_1097,refute_16_1098]) ).
cnf(refute_16_1100,plain,
( h3(e13) != e23
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,e23)) )],[refute_16_1093,refute_16_1099]) ).
cnf(refute_16_1101,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) != op2(e22,e23)
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_16_1102,plain,
( h3(e13) != e23
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,e23)) )],[refute_16_1100,refute_16_1101]) ).
cnf(refute_16_1103,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) )],[refute_16_1102,refute_16_1090]) ).
cnf(refute_16_1104,plain,
h3(op1(e12,e12)) = h3(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e12)))]]) ).
cnf(refute_16_1105,plain,
( h3(op1(e12,e12)) != h3(op1(e12,e12))
| op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_1106,plain,
( op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) )],[refute_16_1104,refute_16_1105]) ).
cnf(refute_16_1107,plain,
h3(op1(e12,e12)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_1106]) ).
cnf(refute_16_1108,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) != h3(e13)
| h3(op1(e12,e12)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e12,e12)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1109,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(e13)) )],[refute_16_1107,refute_16_1108]) ).
cnf(refute_16_1110,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(op1(e12,e12)) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),e23) ),[1],$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_16_1111,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),e23) )],[refute_16_1109,refute_16_1110]) ).
cnf(refute_16_1112,plain,
op2(e22,h3(e12)) = op2(e22,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e12)))]]) ).
cnf(refute_16_1113,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) != op2(e22,h3(e12))
| op2(e22,h3(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_1114,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) )],[refute_16_1112,refute_16_1113]) ).
cnf(refute_16_1115,plain,
op2(e22,h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1114]) ).
cnf(refute_16_1116,plain,
op2(h3(e12),h3(e12)) = op2(h3(e12),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_16_1117,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) != op2(h3(e12),h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_16_1118,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) )],[refute_16_1116,refute_16_1117]) ).
cnf(refute_16_1119,plain,
op2(h3(e12),h3(e12)) = op2(e22,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1118]) ).
cnf(refute_16_1120,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) != op2(e22,h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,h3(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_16_1121,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,h3(e12))) )],[refute_16_1119,refute_16_1120]) ).
cnf(refute_16_1122,plain,
op2(h3(e12),h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,e22)) )],[refute_16_1115,refute_16_1121]) ).
cnf(refute_16_1123,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1124,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,e22)) )],[refute_16_1122,refute_16_1123]) ).
cnf(refute_16_1125,plain,
op2(h3(e12),h3(e12)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_1124]) ).
cnf(refute_16_1126,plain,
( e23 != e23
| op2(h3(e12),h3(e12)) != e23
| e23 = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h3(e12),h3(e12))) ),[1],$fot(e23)]]) ).
cnf(refute_16_1127,plain,
( e23 != e23
| e23 = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),e23) )],[refute_16_1125,refute_16_1126]) ).
cnf(refute_16_1128,plain,
( e23 != e23
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h3(e12),h3(e12))) )],[refute_16_1127,refute_16_1111]) ).
cnf(refute_16_1129,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),op2(h3(e12),h3(e12))) )],[refute_16_1128,refute_16_1103]) ).
cnf(refute_16_1130,plain,
op2(e22,h3(e11)) = op2(e22,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).
cnf(refute_16_1131,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) != op2(e22,h3(e11))
| op2(e22,h3(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_1132,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_16_1130,refute_16_1131]) ).
cnf(refute_16_1133,plain,
op2(e22,h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1132]) ).
cnf(refute_16_1134,plain,
op2(h3(e12),h3(e11)) = op2(h3(e12),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e11)))]]) ).
cnf(refute_16_1135,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) != op2(h3(e12),h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_16_1136,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) )],[refute_16_1134,refute_16_1135]) ).
cnf(refute_16_1137,plain,
op2(h3(e12),h3(e11)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1136]) ).
cnf(refute_16_1138,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) != op2(e22,h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e12),h3(e11)))),bind(Y,$fot(op2(e22,h3(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_16_1139,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,h3(e11))) )],[refute_16_1137,refute_16_1138]) ).
cnf(refute_16_1140,plain,
op2(h3(e12),h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e21)) )],[refute_16_1133,refute_16_1139]) ).
cnf(refute_16_1141,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) != op2(e22,e21)
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_16_1142,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,e21)) )],[refute_16_1140,refute_16_1141]) ).
cnf(refute_16_1143,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) )],[refute_16_1142,refute_16_1129]) ).
cnf(refute_16_1144,plain,
op2(e22,h3(e10)) = op2(e22,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e10)))]]) ).
cnf(refute_16_1145,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) != op2(e22,h3(e10))
| op2(e22,h3(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_16_1146,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) )],[refute_16_1144,refute_16_1145]) ).
cnf(refute_16_1147,plain,
op2(e22,h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1146]) ).
cnf(refute_16_1148,plain,
op2(h3(e12),h3(e10)) = op2(h3(e12),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e10)))]]) ).
cnf(refute_16_1149,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) != op2(h3(e12),h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_16_1150,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) )],[refute_16_1148,refute_16_1149]) ).
cnf(refute_16_1151,plain,
op2(h3(e12),h3(e10)) = op2(e22,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1150]) ).
cnf(refute_16_1152,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) != op2(e22,h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e12),h3(e10)))),bind(Y,$fot(op2(e22,h3(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_16_1153,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,h3(e10))) )],[refute_16_1151,refute_16_1152]) ).
cnf(refute_16_1154,plain,
op2(h3(e12),h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,e20)) )],[refute_16_1147,refute_16_1153]) ).
cnf(refute_16_1155,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) != op2(e22,e20)
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_16_1156,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,e20)) )],[refute_16_1154,refute_16_1155]) ).
cnf(refute_16_1157,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) )],[refute_16_1156,refute_16_1143]) ).
cnf(refute_16_1158,plain,
op2(e21,h3(e13)) = op2(e21,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e13)))]]) ).
cnf(refute_16_1159,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) != op2(e21,h3(e13))
| op2(e21,h3(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_1160,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) )],[refute_16_1158,refute_16_1159]) ).
cnf(refute_16_1161,plain,
op2(h3(e11),h3(e13)) = op2(h3(e11),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e13)))]]) ).
cnf(refute_16_1162,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) != op2(h3(e11),h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1163,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) )],[refute_16_1161,refute_16_1162]) ).
cnf(refute_16_1164,plain,
op2(h3(e11),h3(e13)) = op2(e21,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1163]) ).
cnf(refute_16_1165,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) != op2(e21,h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,h3(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_16_1166,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,h3(e13))) )],[refute_16_1164,refute_16_1165]) ).
cnf(refute_16_1167,plain,
( h3(e13) != e23
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,e23)) )],[refute_16_1160,refute_16_1166]) ).
cnf(refute_16_1168,plain,
( op2(e21,e23) != h4(e10)
| op2(h3(e11),h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) = h4(e10) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h4(e10)))]]) ).
cnf(refute_16_1169,plain,
( h3(e13) != e23
| op2(e21,e23) != h4(e10)
| op2(h3(e11),h3(e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,e23)) )],[refute_16_1167,refute_16_1168]) ).
cnf(refute_16_1170,plain,
( h3(e13) != e23
| op2(h3(e11),h3(e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_1169]) ).
cnf(refute_16_1171,plain,
( h3(op1(e11,e13)) != h4(e10)
| op2(h3(e11),h3(e13)) != h4(e10)
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) ),[1],$fot(h4(e10))]]) ).
cnf(refute_16_1172,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),h4(e10)) )],[refute_16_1170,refute_16_1171]) ).
cnf(refute_16_1173,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) )],[refute_16_1172,refute_16_1157]) ).
cnf(refute_16_1174,plain,
op2(e21,h3(e12)) = op2(e21,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e12)))]]) ).
cnf(refute_16_1175,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) != op2(e21,h3(e12))
| op2(e21,h3(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_1176,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) )],[refute_16_1174,refute_16_1175]) ).
cnf(refute_16_1177,plain,
op2(e21,h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1176]) ).
cnf(refute_16_1178,plain,
op2(h3(e11),h3(e12)) = op2(h3(e11),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e12)))]]) ).
cnf(refute_16_1179,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) != op2(h3(e11),h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1180,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) )],[refute_16_1178,refute_16_1179]) ).
cnf(refute_16_1181,plain,
op2(h3(e11),h3(e12)) = op2(e21,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1180]) ).
cnf(refute_16_1182,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) != op2(e21,h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e12)))),bind(Y,$fot(op2(e21,h3(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_16_1183,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,h3(e12))) )],[refute_16_1181,refute_16_1182]) ).
cnf(refute_16_1184,plain,
op2(h3(e11),h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,e22)) )],[refute_16_1177,refute_16_1183]) ).
cnf(refute_16_1185,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) != op2(e21,e22)
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_16_1186,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,e22)) )],[refute_16_1184,refute_16_1185]) ).
cnf(refute_16_1187,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) )],[refute_16_1186,refute_16_1173]) ).
cnf(refute_16_1188,plain,
op2(e21,h3(e11)) = op2(e21,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e11)))]]) ).
cnf(refute_16_1189,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) != op2(e21,h3(e11))
| op2(e21,h3(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_1190,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) )],[refute_16_1188,refute_16_1189]) ).
cnf(refute_16_1191,plain,
op2(e21,h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1190]) ).
cnf(refute_16_1192,plain,
op2(h3(e11),h3(e11)) = op2(h3(e11),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_16_1193,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1194,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) )],[refute_16_1192,refute_16_1193]) ).
cnf(refute_16_1195,plain,
op2(h3(e11),h3(e11)) = op2(e21,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1194]) ).
cnf(refute_16_1196,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) != op2(e21,h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,h3(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_16_1197,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,h3(e11))) )],[refute_16_1195,refute_16_1196]) ).
cnf(refute_16_1198,plain,
op2(h3(e11),h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,e21)) )],[refute_16_1191,refute_16_1197]) ).
cnf(refute_16_1199,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_16_1200,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,e21)) )],[refute_16_1198,refute_16_1199]) ).
cnf(refute_16_1201,plain,
op2(h3(e11),h3(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_1200]) ).
cnf(refute_16_1202,plain,
( h3(op1(e11,e11)) != h2(e13)
| op2(h3(e11),h3(e11)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_16_1203,plain,
( h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),h2(e13)) )],[refute_16_1201,refute_16_1202]) ).
cnf(refute_16_1204,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) )],[refute_16_1203,refute_16_1187]) ).
cnf(refute_16_1205,plain,
op2(e21,h3(e10)) = op2(e21,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e10)))]]) ).
cnf(refute_16_1206,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) != op2(e21,h3(e10))
| op2(e21,h3(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_16_1207,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) )],[refute_16_1205,refute_16_1206]) ).
cnf(refute_16_1208,plain,
op2(e21,h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1207]) ).
cnf(refute_16_1209,plain,
op2(h3(e11),h3(e10)) = op2(h3(e11),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e10)))]]) ).
cnf(refute_16_1210,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) != op2(h3(e11),h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1211,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) )],[refute_16_1209,refute_16_1210]) ).
cnf(refute_16_1212,plain,
op2(h3(e11),h3(e10)) = op2(e21,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1211]) ).
cnf(refute_16_1213,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) != op2(e21,h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e11),h3(e10)))),bind(Y,$fot(op2(e21,h3(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_16_1214,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,h3(e10))) )],[refute_16_1212,refute_16_1213]) ).
cnf(refute_16_1215,plain,
op2(h3(e11),h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,e20)) )],[refute_16_1208,refute_16_1214]) ).
cnf(refute_16_1216,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) != op2(e21,e20)
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_16_1217,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,e20)) )],[refute_16_1215,refute_16_1216]) ).
cnf(refute_16_1218,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) )],[refute_16_1217,refute_16_1204]) ).
cnf(refute_16_1219,plain,
op2(e20,h3(e13)) = op2(e20,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e13)))]]) ).
cnf(refute_16_1220,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) != op2(e20,h3(e13))
| op2(e20,h3(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_1221,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) )],[refute_16_1219,refute_16_1220]) ).
cnf(refute_16_1222,plain,
op2(h3(e10),h3(e13)) = op2(h3(e10),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e13)))]]) ).
cnf(refute_16_1223,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) != op2(h3(e10),h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_16_1224,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) )],[refute_16_1222,refute_16_1223]) ).
cnf(refute_16_1225,plain,
op2(h3(e10),h3(e13)) = op2(e20,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1224]) ).
cnf(refute_16_1226,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) != op2(e20,h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,h3(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_16_1227,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,h3(e13))) )],[refute_16_1225,refute_16_1226]) ).
cnf(refute_16_1228,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,e23)) )],[refute_16_1221,refute_16_1227]) ).
cnf(refute_16_1229,plain,
( h3(op1(e10,e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) != op2(e20,e23)
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_16_1230,plain,
( h3(e13) != e23
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,e23)) )],[refute_16_1228,refute_16_1229]) ).
cnf(refute_16_1231,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) )],[refute_16_1230,refute_16_1218]) ).
cnf(refute_16_1232,plain,
op2(e20,h3(e12)) = op2(e20,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e12)))]]) ).
cnf(refute_16_1233,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) != op2(e20,h3(e12))
| op2(e20,h3(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_1234,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) )],[refute_16_1232,refute_16_1233]) ).
cnf(refute_16_1235,plain,
op2(e20,h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1234]) ).
cnf(refute_16_1236,plain,
op2(h3(e10),h3(e12)) = op2(h3(e10),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e12)))]]) ).
cnf(refute_16_1237,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) != op2(h3(e10),h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_16_1238,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) )],[refute_16_1236,refute_16_1237]) ).
cnf(refute_16_1239,plain,
op2(h3(e10),h3(e12)) = op2(e20,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1238]) ).
cnf(refute_16_1240,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e10),h3(e12)))),bind(Y,$fot(op2(e20,h3(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_16_1241,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,h3(e12))) )],[refute_16_1239,refute_16_1240]) ).
cnf(refute_16_1242,plain,
op2(h3(e10),h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,e22)) )],[refute_16_1235,refute_16_1241]) ).
cnf(refute_16_1243,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_16_1244,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,e22)) )],[refute_16_1242,refute_16_1243]) ).
cnf(refute_16_1245,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) )],[refute_16_1244,refute_16_1231]) ).
cnf(refute_16_1246,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_16_1247,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_1248,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_16_1246,refute_16_1247]) ).
cnf(refute_16_1249,plain,
op2(e20,h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1248]) ).
cnf(refute_16_1250,plain,
op2(h3(e10),h3(e11)) = op2(h3(e10),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e11)))]]) ).
cnf(refute_16_1251,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) != op2(h3(e10),h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_16_1252,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) )],[refute_16_1250,refute_16_1251]) ).
cnf(refute_16_1253,plain,
op2(h3(e10),h3(e11)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1252]) ).
cnf(refute_16_1254,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e10),h3(e11)))),bind(Y,$fot(op2(e20,h3(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_16_1255,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,h3(e11))) )],[refute_16_1253,refute_16_1254]) ).
cnf(refute_16_1256,plain,
op2(h3(e10),h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,e21)) )],[refute_16_1249,refute_16_1255]) ).
cnf(refute_16_1257,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_16_1258,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,e21)) )],[refute_16_1256,refute_16_1257]) ).
cnf(refute_16_1259,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) )],[refute_16_1258,refute_16_1245]) ).
cnf(refute_16_1260,plain,
op2(e20,h3(e10)) = op2(e20,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e10)))]]) ).
cnf(refute_16_1261,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) != op2(e20,h3(e10))
| op2(e20,h3(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_16_1262,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) )],[refute_16_1260,refute_16_1261]) ).
cnf(refute_16_1263,plain,
op2(e20,h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1262]) ).
cnf(refute_16_1264,plain,
op2(h3(e10),h3(e10)) = op2(h3(e10),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e10)))]]) ).
cnf(refute_16_1265,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) != op2(h3(e10),h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_16_1266,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) )],[refute_16_1264,refute_16_1265]) ).
cnf(refute_16_1267,plain,
op2(h3(e10),h3(e10)) = op2(e20,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1266]) ).
cnf(refute_16_1268,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) != op2(e20,h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,h3(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_16_1269,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,h3(e10))) )],[refute_16_1267,refute_16_1268]) ).
cnf(refute_16_1270,plain,
op2(h3(e10),h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,e20)) )],[refute_16_1263,refute_16_1269]) ).
cnf(refute_16_1271,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_16_1272,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,e20)) )],[refute_16_1270,refute_16_1271]) ).
cnf(refute_16_1273,plain,
op2(h3(e10),h3(e10)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_1272]) ).
cnf(refute_16_1274,plain,
( h3(op1(e10,e10)) != h1(e13)
| op2(h3(e10),h3(e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_16_1275,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),h1(e13)) )],[refute_16_1273,refute_16_1274]) ).
cnf(refute_16_1276,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) )],[refute_16_1275,refute_16_1259]) ).
cnf(refute_16_1277,plain,
h3(e13) = op2(e22,e22),
inference(canonicalize,[],[normalize_16_210]) ).
cnf(refute_16_1278,plain,
( h3(e13) != op2(e22,e22)
| op2(e22,e22) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e13),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_16_1279,plain,
( h3(e13) != op2(e22,e22)
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_1278]) ).
cnf(refute_16_1280,plain,
h3(e13) = e23,
inference(resolve,[$cnf( $equal(h3(e13),op2(e22,e22)) )],[refute_16_1277,refute_16_1279]) ).
cnf(refute_16_1281,plain,
( e23 != e23
| h3(e13) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_16_1282,plain,
( e23 != e23
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_16_1280,refute_16_1281]) ).
cnf(refute_16_1283,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_16_1282,refute_16_1276]) ).
cnf(refute_16_1284,plain,
( e21 != e21
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_1283]) ).
cnf(refute_16_1285,plain,
( e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1284]) ).
cnf(refute_16_1286,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_130
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_1285]) ).
cnf(refute_16_1287,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_130 ),
inference(canonicalize,[],[normalize_16_212]) ).
cnf(refute_16_1288,plain,
( e20 != e20
| h3(e10) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_1289,plain,
( e20 != e20
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1288]) ).
cnf(refute_16_1290,plain,
( e20 != e20
| ~ definitionFOFtoCNF_130 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1289,refute_16_1287]) ).
cnf(refute_16_1291,plain,
~ definitionFOFtoCNF_130,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_1290]) ).
cnf(refute_16_1292,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( definitionFOFtoCNF_130 )],[refute_16_1286,refute_16_1291]) ).
cnf(refute_16_1293,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_131 ),
inference(canonicalize,[],[normalize_16_214]) ).
cnf(refute_16_1294,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_16_1295,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1294]) ).
cnf(refute_16_1296,plain,
( e21 != e21
| ~ definitionFOFtoCNF_131 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1295,refute_16_1293]) ).
cnf(refute_16_1297,plain,
~ definitionFOFtoCNF_131,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1296]) ).
cnf(refute_16_1298,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21) ),
inference(resolve,[$cnf( definitionFOFtoCNF_131 )],[refute_16_1292,refute_16_1297]) ).
cnf(refute_16_1299,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_16_215]) ).
cnf(refute_16_1300,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_16_216]) ).
cnf(refute_16_1301,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_16_1302,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_1301]) ).
cnf(refute_16_1303,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_16_1302,refute_16_1300]) ).
cnf(refute_16_1304,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_16_1305,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_16_1304,refute_16_1303]) ).
cnf(refute_16_1306,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_16_1299,refute_16_1305]) ).
cnf(refute_16_1307,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_16_1306,refute_16_806]) ).
cnf(refute_16_1308,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_1307,refute_16_721]) ).
cnf(refute_16_1309,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_16_217]) ).
cnf(refute_16_1310,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_16_1309,refute_16_830]) ).
cnf(refute_16_1311,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_16_218]) ).
cnf(refute_16_1312,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_16_1313,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_1312]) ).
cnf(refute_16_1314,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_16_1313,refute_16_1311]) ).
cnf(refute_16_1315,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_16_1310,refute_16_1314]) ).
cnf(refute_16_1316,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_16_219]) ).
cnf(refute_16_1317,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_16_220]) ).
cnf(refute_16_1318,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_16_1319,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_1320,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_16_1318,refute_16_1319]) ).
cnf(refute_16_1321,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1320]) ).
cnf(refute_16_1322,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_16_1323,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_16_1321,refute_16_1322]) ).
cnf(refute_16_1324,plain,
h4(op1(e11,e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_16_1317,refute_16_1323]) ).
cnf(refute_16_1325,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_16_221]) ).
cnf(refute_16_1326,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_16_1327,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1328,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_16_1326,refute_16_1327]) ).
cnf(refute_16_1329,plain,
op2(h4(e13),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_1328]) ).
cnf(refute_16_1330,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_16_1331,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e21,h4(e10))) )],[refute_16_1329,refute_16_1330]) ).
cnf(refute_16_1332,plain,
h4(op1(e13,e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_16_1325,refute_16_1331]) ).
cnf(refute_16_1333,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = h4(op1(e13,e10)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(op2(e21,h4(e10))))]]) ).
cnf(refute_16_1334,plain,
op2(e21,h4(e10)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_16_1332,refute_16_1333]) ).
cnf(refute_16_1335,plain,
op2(h2(e13),h4(e10)) = op2(h2(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e10)))]]) ).
cnf(refute_16_1336,plain,
( h2(e13) != e21
| op2(h2(e13),h4(e10)) != op2(h2(e13),h4(e10))
| op2(h2(e13),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(h2(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1337,plain,
( h2(e13) != e21
| op2(h2(e13),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_16_1335,refute_16_1336]) ).
cnf(refute_16_1338,plain,
op2(h2(e13),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_1337]) ).
cnf(refute_16_1339,plain,
( op2(e21,h4(e10)) != h4(op1(e13,e10))
| op2(h2(e13),h4(e10)) != op2(e21,h4(e10))
| op2(h2(e13),h4(e10)) = h4(op1(e13,e10)) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h2(e13),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(h4(op1(e13,e10))))]]) ).
cnf(refute_16_1340,plain,
( op2(e21,h4(e10)) != h4(op1(e13,e10))
| op2(h2(e13),h4(e10)) = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(e21,h4(e10))) )],[refute_16_1338,refute_16_1339]) ).
cnf(refute_16_1341,plain,
op2(h2(e13),h4(e10)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),h4(op1(e13,e10))) )],[refute_16_1334,refute_16_1340]) ).
cnf(refute_16_1342,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| op2(h2(e13),h4(e10)) != h4(op1(e13,e10))
| h4(op1(e11,e10)) = h4(op1(e13,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h4(op1(e13,e10))) ),[0],$fot(op2(h2(e13),h4(e10)))]]) ).
cnf(refute_16_1343,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(op1(e11,e10)) = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),h4(op1(e13,e10))) )],[refute_16_1341,refute_16_1342]) ).
cnf(refute_16_1344,plain,
h4(op1(e11,e10)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_16_1324,refute_16_1343]) ).
cnf(refute_16_1345,plain,
( h4(op1(e11,e10)) != h4(op1(e13,e10))
| h4(op1(e13,e10)) = h4(op1(e11,e10)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(op1(e13,e10))))]]) ).
cnf(refute_16_1346,plain,
h4(op1(e13,e10)) = h4(op1(e11,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e13,e10))) )],[refute_16_1344,refute_16_1345]) ).
cnf(refute_16_1347,plain,
( h4(op1(e13,e10)) != h4(op1(e11,e10))
| h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0],$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_16_1348,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e11,e10))) )],[refute_16_1346,refute_16_1347]) ).
cnf(refute_16_1349,plain,
h4(op1(e11,e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_16_1332,refute_16_1348]) ).
cnf(refute_16_1350,plain,
( h4(e10) != e23
| h4(e10) != op2(e21,e23)
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_16_1351,plain,
( h4(e10) != op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_1350]) ).
cnf(refute_16_1352,plain,
e23 = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_16_296,refute_16_1351]) ).
cnf(refute_16_1353,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_16_1354,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_16_1352,refute_16_1353]) ).
cnf(refute_16_1355,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_16_1356,plain,
( h4(e10) != e23
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_1357,plain,
( h4(e10) != e23
| op2(e21,h4(e10)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_16_1355,refute_16_1356]) ).
cnf(refute_16_1358,plain,
op2(e21,h4(e10)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_1357]) ).
cnf(refute_16_1359,plain,
( op2(e21,e23) != e23
| op2(e21,h4(e10)) != op2(e21,e23)
| op2(e21,h4(e10)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(e21,h4(e10)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1360,plain,
( op2(e21,e23) != e23
| op2(e21,h4(e10)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e23)) )],[refute_16_1358,refute_16_1359]) ).
cnf(refute_16_1361,plain,
op2(e21,h4(e10)) = e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_16_1354,refute_16_1360]) ).
cnf(refute_16_1362,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) != e23
| h4(op1(e11,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),e23) ),[0],$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_16_1363,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| h4(op1(e11,e10)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),e23) )],[refute_16_1361,refute_16_1362]) ).
cnf(refute_16_1364,plain,
h4(op1(e11,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,h4(e10))) )],[refute_16_1349,refute_16_1363]) ).
cnf(refute_16_1365,plain,
( h4(op1(e11,e10)) != e23
| h4(op1(e11,e10)) != h4(op1(e13,e10))
| e23 = h4(op1(e13,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e13,e10))) ),[0],$fot(e23)]]) ).
cnf(refute_16_1366,plain,
( h4(op1(e11,e10)) != h4(op1(e13,e10))
| e23 = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e23) )],[refute_16_1364,refute_16_1365]) ).
cnf(refute_16_1367,plain,
e23 = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e13,e10))) )],[refute_16_1344,refute_16_1366]) ).
cnf(refute_16_1368,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_16_222]) ).
cnf(refute_16_1369,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_16_223]) ).
cnf(refute_16_1370,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_16_1371,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_1370]) ).
cnf(refute_16_1372,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_16_1371,refute_16_1369]) ).
cnf(refute_16_1373,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_16_1368,refute_16_1372]) ).
cnf(refute_16_1374,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_16_1375,plain,
( op1(e11,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_987,refute_16_1374]) ).
cnf(refute_16_1376,plain,
( e10 = e13
| op1(e10,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_16_1373,refute_16_1375]) ).
cnf(refute_16_1377,plain,
( op1(e10,e10) = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_16_1376,refute_16_969]) ).
cnf(refute_16_1378,plain,
( e23 != h4(op1(e13,e10))
| op1(e13,e10) != e13
| e23 = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(e23,h4(op1(e13,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_1379,plain,
( e23 != h4(op1(e13,e10))
| e23 = h4(e13)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_16_1377,refute_16_1378]) ).
cnf(refute_16_1380,plain,
( e23 = h4(e13)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e13,e10))) )],[refute_16_1367,refute_16_1379]) ).
cnf(refute_16_1381,plain,
( e23 != h4(e13)
| h4(e13) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h4(e13))]]) ).
cnf(refute_16_1382,plain,
( e23 != h4(e13)
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_1381]) ).
cnf(refute_16_1383,plain,
( e23 = e21
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,h4(e13)) )],[refute_16_1380,refute_16_1382]) ).
cnf(refute_16_1384,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_1383,refute_16_144]) ).
cnf(refute_16_1385,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_16_1386,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_1385]) ).
cnf(refute_16_1387,plain,
e13 != op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_16_1386,refute_16_1316]) ).
cnf(refute_16_1388,plain,
( op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e13))]]) ).
cnf(refute_16_1389,plain,
op1(e13,e10) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_16_1388,refute_16_1387]) ).
cnf(refute_16_1390,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_16_1315,refute_16_1389]) ).
cnf(refute_16_1391,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_16_1392,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_16_1390,refute_16_1391]) ).
cnf(refute_16_1393,plain,
( e12 = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_16_1308,refute_16_1392]) ).
cnf(refute_16_1394,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_16_1393,refute_16_800]) ).
cnf(refute_16_1395,plain,
h3(op1(e13,e11)) = h3(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e11)))]]) ).
cnf(refute_16_1396,plain,
( h3(op1(e13,e11)) != h3(op1(e13,e11))
| op1(e13,e11) != e13
| h3(op1(e13,e11)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_1397,plain,
( op1(e13,e11) != e13
| h3(op1(e13,e11)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) )],[refute_16_1395,refute_16_1396]) ).
cnf(refute_16_1398,plain,
h3(op1(e13,e11)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_16_1394,refute_16_1397]) ).
cnf(refute_16_1399,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) != h3(e13)
| h3(op1(e13,e11)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e13,e11)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1400,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(e13)) )],[refute_16_1398,refute_16_1399]) ).
cnf(refute_16_1401,plain,
h3(op1(e13,e11)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_16_1280,refute_16_1400]) ).
cnf(refute_16_1402,plain,
( e23 != op2(e23,e21)
| h3(op1(e13,e11)) != e23
| h3(op1(e13,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_16_1403,plain,
( e23 != op2(e23,e21)
| h3(op1(e13,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),e23) )],[refute_16_1401,refute_16_1402]) ).
cnf(refute_16_1404,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_16_224]) ).
cnf(refute_16_1405,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_16_1404,refute_16_85]) ).
cnf(refute_16_1406,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_16_225]) ).
cnf(refute_16_1407,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_16_1408,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_1407]) ).
cnf(refute_16_1409,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_16_1408,refute_16_1406]) ).
cnf(refute_16_1410,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_16_1411,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_16_1410,refute_16_1409]) ).
cnf(refute_16_1412,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_16_1405,refute_16_1411]) ).
cnf(refute_16_1413,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_16_1412,refute_16_97]) ).
cnf(refute_16_1414,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_1413,refute_16_99]) ).
cnf(refute_16_1415,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_16_226]) ).
cnf(refute_16_1416,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_16_1417,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_16_1418,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_16_1416,refute_16_1417]) ).
cnf(refute_16_1419,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_1418]) ).
cnf(refute_16_1420,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_16_1421,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_16_1419,refute_16_1420]) ).
cnf(refute_16_1422,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_16_1415,refute_16_1421]) ).
cnf(refute_16_1423,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_16_227]) ).
cnf(refute_16_1424,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_16_228]) ).
cnf(refute_16_1425,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_16_1426,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1427,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_16_1425,refute_16_1426]) ).
cnf(refute_16_1428,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_1427]) ).
cnf(refute_16_1429,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_16_1430,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_16_1428,refute_16_1429]) ).
cnf(refute_16_1431,plain,
op2(h4(e12),h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_16_448,refute_16_1430]) ).
cnf(refute_16_1432,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_16_1433,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e21)) )],[refute_16_1431,refute_16_1432]) ).
cnf(refute_16_1434,plain,
h4(op1(e12,e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_16_1424,refute_16_1433]) ).
cnf(refute_16_1435,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e12
| h4(e12) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_1436,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e12) = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_16_959,refute_16_1435]) ).
cnf(refute_16_1437,plain,
( h4(e12) = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_16_1434,refute_16_1436]) ).
cnf(refute_16_1438,plain,
( h4(e12) != e23
| h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e23,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_16_1439,plain,
( h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_1438]) ).
cnf(refute_16_1440,plain,
( e23 = op2(e23,e21)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_16_1437,refute_16_1439]) ).
cnf(refute_16_1441,plain,
( e23 != op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_16_1442,plain,
( op1(e12,e13) = e10
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_16_1440,refute_16_1441]) ).
cnf(refute_16_1443,plain,
( op2(e20,e21) != e23
| op2(e23,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_16_1444,plain,
( op2(e20,e21) != e23
| op1(e12,e13) = e10
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_1442,refute_16_1443]) ).
cnf(refute_16_1445,plain,
( op2(e20,e21) != e23
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_16_1444,refute_16_1423]) ).
cnf(refute_16_1446,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_16_229]) ).
cnf(refute_16_1447,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_16_1448,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_1447]) ).
cnf(refute_16_1449,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_16_1448,refute_16_1446]) ).
cnf(refute_16_1450,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_16_230]) ).
cnf(refute_16_1451,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_16_1452,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_1451]) ).
cnf(refute_16_1453,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_16_1450,refute_16_1452]) ).
cnf(refute_16_1454,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_16_231]) ).
cnf(refute_16_1455,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_16_1456,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_1455]) ).
cnf(refute_16_1457,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_16_1456,refute_16_1454]) ).
cnf(refute_16_1458,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_16_1453,refute_16_1457]) ).
cnf(refute_16_1459,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_16_1460,plain,
( e23 != h4(e10)
| h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e23) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_16_1458,refute_16_1459]) ).
cnf(refute_16_1461,plain,
( e23 != h4(e10)
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_16_1460,refute_16_1449]) ).
cnf(refute_16_1462,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_16_1463,plain,
( e23 != e23
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_1462]) ).
cnf(refute_16_1464,plain,
( e23 != e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_16_1463,refute_16_1461]) ).
cnf(refute_16_1465,plain,
( e23 != e23
| h1(e13) = e23
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_16_1464,refute_16_1445]) ).
cnf(refute_16_1466,plain,
( h1(e13) = e23
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_1465]) ).
cnf(refute_16_1467,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_1464]) ).
cnf(refute_16_1468,plain,
( e23 != op2(e23,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_16_1469,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_16_1467,refute_16_1468]) ).
cnf(refute_16_1470,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_16_1469,refute_16_1423]) ).
cnf(refute_16_1471,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e10
| h4(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_1472,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_16_959,refute_16_1471]) ).
cnf(refute_16_1473,plain,
( h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_16_1434,refute_16_1472]) ).
cnf(refute_16_1474,plain,
( h4(e10) != e23
| h4(e10) != op2(e23,e21)
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e23,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_16_1475,plain,
( h4(e10) != op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_1474]) ).
cnf(refute_16_1476,plain,
( e23 = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_16_1473,refute_16_1475]) ).
cnf(refute_16_1477,plain,
( op1(e12,e13) = e12
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_16_1476,refute_16_1441]) ).
cnf(refute_16_1478,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_16_1479,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_1477,refute_16_1478]) ).
cnf(refute_16_1480,plain,
( e23 != e23
| h1(e13) = e23
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_16_1479,refute_16_1470]) ).
cnf(refute_16_1481,plain,
( h1(e13) = e23
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_1480]) ).
cnf(refute_16_1482,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_16_1483,plain,
( op1(e12,e13) != e10
| e12 = e10
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_16_1481,refute_16_1482]) ).
cnf(refute_16_1484,plain,
( e12 = e10
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_16_1466,refute_16_1483]) ).
cnf(refute_16_1485,plain,
e10 != e12,
inference(canonicalize,[],[normalize_16_232]) ).
cnf(refute_16_1486,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_16_1487,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_16_1486,refute_16_1485]) ).
cnf(refute_16_1488,plain,
h1(e13) = e23,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_16_1484,refute_16_1487]) ).
cnf(refute_16_1489,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_16_1490,plain,
( h1(e13) != e23
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1491,plain,
( h1(e13) != e23
| op2(h1(e13),e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_16_1489,refute_16_1490]) ).
cnf(refute_16_1492,plain,
op2(h1(e13),e20) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_1491]) ).
cnf(refute_16_1493,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) != op2(e23,e20)
| h1(e10) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e23,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_16_1494,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e23,e20)) )],[refute_16_1492,refute_16_1493]) ).
cnf(refute_16_1495,plain,
h1(e10) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_16_1422,refute_16_1494]) ).
cnf(refute_16_1496,plain,
( h1(e10) != op2(e23,e20)
| op2(e23,e20) = h1(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_16_1497,plain,
op2(e23,e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e20)) )],[refute_16_1495,refute_16_1496]) ).
cnf(refute_16_1498,plain,
( op2(e23,e20) != e23
| op2(e23,e20) != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_16_1499,plain,
( op2(e23,e20) != e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h1(e10)) )],[refute_16_1497,refute_16_1498]) ).
cnf(refute_16_1500,plain,
( h1(e10) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_16_1414,refute_16_1499]) ).
cnf(refute_16_1501,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_16_233]) ).
cnf(refute_16_1502,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_16_1503,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_1502]) ).
cnf(refute_16_1504,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_16_1503,refute_16_1501]) ).
cnf(refute_16_1505,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_16_1506,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_1505]) ).
cnf(refute_16_1507,plain,
( e23 != h1(e10)
| op2(e23,e20) != h1(e10)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_16_1508,plain,
( e23 != h1(e10)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h1(e10)) )],[refute_16_1497,refute_16_1507]) ).
cnf(refute_16_1509,plain,
( e23 != h1(e10)
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_16_1508,refute_16_1506]) ).
cnf(refute_16_1510,plain,
e23 != h1(e10),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_16_1509,refute_16_1504]) ).
cnf(refute_16_1511,plain,
( h1(e10) != e23
| e23 = h1(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(e23))]]) ).
cnf(refute_16_1512,plain,
h1(e10) != e23,
inference(resolve,[$cnf( $equal(e23,h1(e10)) )],[refute_16_1511,refute_16_1510]) ).
cnf(refute_16_1513,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_16_1500,refute_16_1512]) ).
cnf(refute_16_1514,plain,
( e23 != e23
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_16_1513,refute_16_1478]) ).
cnf(refute_16_1515,plain,
( e23 != e23
| h3(op1(e13,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_16_1514,refute_16_1403]) ).
cnf(refute_16_1516,plain,
( e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(e23,e21)) )],[refute_16_1515,refute_16_1298]) ).
cnf(refute_16_1517,plain,
h3(op1(e13,e10)) = h3(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e10)))]]) ).
cnf(refute_16_1518,plain,
( h3(op1(e13,e10)) != h3(op1(e13,e10))
| op1(e13,e10) != e12
| h3(op1(e13,e10)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) ),[1,0],$fot(e12)]]) ).
cnf(refute_16_1519,plain,
( op1(e13,e10) != e12
| h3(op1(e13,e10)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) )],[refute_16_1517,refute_16_1518]) ).
cnf(refute_16_1520,plain,
h3(op1(e13,e10)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_16_1390,refute_16_1519]) ).
cnf(refute_16_1521,plain,
( h3(e12) != e22
| h3(op1(e13,e10)) != h3(e12)
| h3(op1(e13,e10)) = e22 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e13,e10)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_16_1522,plain,
( h3(e12) != e22
| h3(op1(e13,e10)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(e12)) )],[refute_16_1520,refute_16_1521]) ).
cnf(refute_16_1523,plain,
h3(op1(e13,e10)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1522]) ).
cnf(refute_16_1524,plain,
( e22 != op2(e23,e20)
| h3(op1(e13,e10)) != e22
| h3(op1(e13,e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),e22) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_16_1525,plain,
( e22 != op2(e23,e20)
| h3(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),e22) )],[refute_16_1523,refute_16_1524]) ).
cnf(refute_16_1526,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_16_234]) ).
cnf(refute_16_1527,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_16_1526,refute_16_659]) ).
cnf(refute_16_1528,plain,
( h1(e13) != e22
| h1(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_16_1529,plain,
( h1(e13) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_1528]) ).
cnf(refute_16_1530,plain,
( e23 = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_16_1527,refute_16_1529]) ).
cnf(refute_16_1531,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_16_235]) ).
cnf(refute_16_1532,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_16_1531,refute_16_122]) ).
cnf(refute_16_1533,plain,
( h1(e13) != e20
| h1(e13) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e23)]]) ).
cnf(refute_16_1534,plain,
( h1(e13) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_1533]) ).
cnf(refute_16_1535,plain,
( e23 = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_16_1532,refute_16_1534]) ).
cnf(refute_16_1536,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_16_236]) ).
cnf(refute_16_1537,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_16_1538,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_1537]) ).
cnf(refute_16_1539,plain,
h2(e13) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_16_1538,refute_16_1536]) ).
cnf(refute_16_1540,plain,
( h2(e13) != e21
| op2(e22,e21) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1541,plain,
( h2(e13) != e21
| h2(e13) = op2(e22,e21)
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_16_556,refute_16_1540]) ).
cnf(refute_16_1542,plain,
( h2(e13) != e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_16_1541,refute_16_1539]) ).
cnf(refute_16_1543,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_16_1544,plain,
( e21 != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_1543]) ).
cnf(refute_16_1545,plain,
( e21 != e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_1544,refute_16_1542]) ).
cnf(refute_16_1546,plain,
op2(e22,e20) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1545]) ).
cnf(refute_16_1547,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_16_1548,plain,
( op2(e22,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_16_1546,refute_16_1547]) ).
cnf(refute_16_1549,plain,
( e21 = e20
| e23 = e20
| op2(e21,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_16_1535,refute_16_1548]) ).
cnf(refute_16_1550,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_16_1551,plain,
( op2(e23,e20) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h1(e10)) )],[refute_16_1497,refute_16_1550]) ).
cnf(refute_16_1552,plain,
( e21 = e20
| e23 = e20
| h1(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_16_1549,refute_16_1551]) ).
cnf(refute_16_1553,plain,
( e23 = e20
| h1(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_16_1552,refute_16_162]) ).
cnf(refute_16_1554,plain,
h4(e12) != e20,
inference(canonicalize,[],[normalize_16_237]) ).
cnf(refute_16_1555,plain,
( e23 != e20
| h4(e12) != e23
| h4(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e20)]]) ).
cnf(refute_16_1556,plain,
( e23 != e20
| h4(e12) = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_1555]) ).
cnf(refute_16_1557,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_16_1556,refute_16_1554]) ).
cnf(refute_16_1558,plain,
( h1(e10) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_16_1553,refute_16_1557]) ).
cnf(refute_16_1559,plain,
( h1(e10) != e20
| op2(e23,e20) != h1(e10)
| op2(e23,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_16_1560,plain,
( h1(e10) != e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h1(e10)) )],[refute_16_1497,refute_16_1559]) ).
cnf(refute_16_1561,plain,
h1(e10) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_16_1560,refute_16_204]) ).
cnf(refute_16_1562,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_16_1558,refute_16_1561]) ).
cnf(refute_16_1563,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_16_1564,plain,
( op2(e21,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_16_1562,refute_16_1563]) ).
cnf(refute_16_1565,plain,
( e20 = e22
| e23 = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_16_1530,refute_16_1564]) ).
cnf(refute_16_1566,plain,
( op2(e22,e20) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_16_1546,refute_16_560]) ).
cnf(refute_16_1567,plain,
( e20 = e22
| e21 = e22
| e23 = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_16_1565,refute_16_1566]) ).
cnf(refute_16_1568,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != h1(e10)
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(h1(e10))]]) ).
cnf(refute_16_1569,plain,
( op2(e23,e20) != e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h1(e10)) )],[refute_16_1497,refute_16_1568]) ).
cnf(refute_16_1570,plain,
( e20 = e22
| e21 = e22
| e23 = e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_16_1567,refute_16_1569]) ).
cnf(refute_16_1571,plain,
( e21 = e22
| e23 = e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_1570,refute_16_178]) ).
cnf(refute_16_1572,plain,
( e23 = e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_1571,refute_16_187]) ).
cnf(refute_16_1573,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_16_1572,refute_16_93]) ).
cnf(refute_16_1574,plain,
( h1(e10) != e22
| h1(e10) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_16_1575,plain,
( h1(e10) != op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_16_1573,refute_16_1574]) ).
cnf(refute_16_1576,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e20)) )],[refute_16_1495,refute_16_1575]) ).
cnf(refute_16_1577,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_16_1578,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_16_1576,refute_16_1577]) ).
cnf(refute_16_1579,plain,
( e22 != e22
| op2(e23,e20) != e22
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_16_1580,plain,
( e22 != e22
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_16_1578,refute_16_1579]) ).
cnf(refute_16_1581,plain,
( e22 != e22
| h3(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_16_1580,refute_16_1525]) ).
cnf(refute_16_1582,plain,
( e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(e23,e20)) )],[refute_16_1581,refute_16_1516]) ).
cnf(refute_16_1583,plain,
h3(op1(e12,e10)) = h3(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e10)))]]) ).
cnf(refute_16_1584,plain,
( h3(op1(e12,e10)) != h3(op1(e12,e10))
| op1(e12,e10) != e11
| h3(op1(e12,e10)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_16_1585,plain,
( op1(e12,e10) != e11
| h3(op1(e12,e10)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) )],[refute_16_1583,refute_16_1584]) ).
cnf(refute_16_1586,plain,
h3(op1(e12,e10)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_894,refute_16_1585]) ).
cnf(refute_16_1587,plain,
( h3(e11) != e21
| h3(op1(e12,e10)) != h3(e11)
| h3(op1(e12,e10)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e12,e10)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_1588,plain,
( h3(e11) != e21
| h3(op1(e12,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(e11)) )],[refute_16_1586,refute_16_1587]) ).
cnf(refute_16_1589,plain,
h3(op1(e12,e10)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1588]) ).
cnf(refute_16_1590,plain,
( e21 != op2(e22,e20)
| h3(op1(e12,e10)) != e21
| h3(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),e21) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_16_1591,plain,
( e21 != op2(e22,e20)
| h3(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),e21) )],[refute_16_1589,refute_16_1590]) ).
cnf(refute_16_1592,plain,
( e21 != e21
| op2(e22,e20) != e21
| e21 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1593,plain,
( e21 != e21
| e21 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_16_1546,refute_16_1592]) ).
cnf(refute_16_1594,plain,
( e21 != e21
| h3(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_16_1593,refute_16_1591]) ).
cnf(refute_16_1595,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != h4(e10)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(e22,e20)) )],[refute_16_1594,refute_16_1582]) ).
cnf(refute_16_1596,plain,
h3(op1(e11,e13)) = h3(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e13)))]]) ).
cnf(refute_16_1597,plain,
( h3(op1(e11,e13)) != h3(op1(e11,e13))
| op1(e11,e13) != e13
| h3(op1(e11,e13)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_1598,plain,
( op1(e11,e13) != e13
| h3(op1(e11,e13)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) )],[refute_16_1596,refute_16_1597]) ).
cnf(refute_16_1599,plain,
h3(op1(e11,e13)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_983,refute_16_1598]) ).
cnf(refute_16_1600,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) != h3(e13)
| h3(op1(e11,e13)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e11,e13)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1601,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(e13)) )],[refute_16_1599,refute_16_1600]) ).
cnf(refute_16_1602,plain,
h3(op1(e11,e13)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_16_1280,refute_16_1601]) ).
cnf(refute_16_1603,plain,
( e23 != h4(e10)
| h3(op1(e11,e13)) != e23
| h3(op1(e11,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_16_1604,plain,
( e23 != h4(e10)
| h3(op1(e11,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),e23) )],[refute_16_1602,refute_16_1603]) ).
cnf(refute_16_1605,plain,
( e23 != e23
| h3(op1(e11,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_16_1463,refute_16_1604]) ).
cnf(refute_16_1606,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h4(e10)) )],[refute_16_1605,refute_16_1595]) ).
cnf(refute_16_1607,plain,
h3(op1(e11,e12)) = h3(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e12)))]]) ).
cnf(refute_16_1608,plain,
( h3(op1(e11,e12)) != h3(op1(e11,e12))
| op1(e11,e12) != e12
| h3(op1(e11,e12)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_16_1609,plain,
( op1(e11,e12) != e12
| h3(op1(e11,e12)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) )],[refute_16_1607,refute_16_1608]) ).
cnf(refute_16_1610,plain,
h3(op1(e11,e12)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_870,refute_16_1609]) ).
cnf(refute_16_1611,plain,
( h3(e12) != e22
| h3(op1(e11,e12)) != h3(e12)
| h3(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e11,e12)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_16_1612,plain,
( h3(e12) != e22
| h3(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(e12)) )],[refute_16_1610,refute_16_1611]) ).
cnf(refute_16_1613,plain,
h3(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1612]) ).
cnf(refute_16_1614,plain,
( e22 != op2(e21,e22)
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_16_1615,plain,
( e22 != op2(e21,e22)
| h3(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),e22) )],[refute_16_1613,refute_16_1614]) ).
cnf(refute_16_1616,plain,
( h2(e13) != e21
| op2(e21,e22) != e21
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1617,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_259,refute_16_1616]) ).
cnf(refute_16_1618,plain,
( h2(e13) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_16_1617,refute_16_104]) ).
cnf(refute_16_1619,plain,
( e21 != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_1544,refute_16_1618]) ).
cnf(refute_16_1620,plain,
op2(e21,e22) = e22,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1619]) ).
cnf(refute_16_1621,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_16_1622,plain,
( e22 != e22
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_16_1620,refute_16_1621]) ).
cnf(refute_16_1623,plain,
( e22 != e22
| h3(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_16_1622,refute_16_1615]) ).
cnf(refute_16_1624,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(e21,e22)) )],[refute_16_1623,refute_16_1606]) ).
cnf(refute_16_1625,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_16_238]) ).
cnf(refute_16_1626,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_16_1625,refute_16_922]) ).
cnf(refute_16_1627,plain,
( e12 = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_1626,refute_16_872]) ).
cnf(refute_16_1628,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_16_1627,refute_16_876]) ).
cnf(refute_16_1629,plain,
op1(e11,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_16_1628,refute_16_897]) ).
cnf(refute_16_1630,plain,
h3(op1(e11,e11)) = h3(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e11)))]]) ).
cnf(refute_16_1631,plain,
( h3(op1(e11,e11)) != h3(op1(e11,e11))
| op1(e11,e11) != e11
| h3(op1(e11,e11)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_16_1632,plain,
( op1(e11,e11) != e11
| h3(op1(e11,e11)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) )],[refute_16_1630,refute_16_1631]) ).
cnf(refute_16_1633,plain,
h3(op1(e11,e11)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_16_1629,refute_16_1632]) ).
cnf(refute_16_1634,plain,
( h3(e11) != e21
| h3(op1(e11,e11)) != h3(e11)
| h3(op1(e11,e11)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e11,e11)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_1635,plain,
( h3(e11) != e21
| h3(op1(e11,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(e11)) )],[refute_16_1633,refute_16_1634]) ).
cnf(refute_16_1636,plain,
h3(op1(e11,e11)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1635]) ).
cnf(refute_16_1637,plain,
( e21 != h2(e13)
| h3(op1(e11,e11)) != e21
| h3(op1(e11,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),e21) ),[1],$fot(h2(e13))]]) ).
cnf(refute_16_1638,plain,
( e21 != h2(e13)
| h3(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),e21) )],[refute_16_1636,refute_16_1637]) ).
cnf(refute_16_1639,plain,
( e21 != e21
| h2(e13) != e21
| e21 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1640,plain,
( e21 != e21
| e21 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_774,refute_16_1639]) ).
cnf(refute_16_1641,plain,
( e21 != e21
| h3(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_16_1640,refute_16_1638]) ).
cnf(refute_16_1642,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h2(e13)) )],[refute_16_1641,refute_16_1624]) ).
cnf(refute_16_1643,plain,
h3(op1(e11,e10)) = h3(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e10)))]]) ).
cnf(refute_16_1644,plain,
( h3(op1(e11,e10)) != h3(op1(e11,e10))
| op1(e11,e10) != e10
| h3(op1(e11,e10)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_16_1645,plain,
( op1(e11,e10) != e10
| h3(op1(e11,e10)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) )],[refute_16_1643,refute_16_1644]) ).
cnf(refute_16_1646,plain,
h3(op1(e11,e10)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_987,refute_16_1645]) ).
cnf(refute_16_1647,plain,
( h3(e10) != e20
| h3(op1(e11,e10)) != h3(e10)
| h3(op1(e11,e10)) = e20 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e11,e10)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_16_1648,plain,
( h3(e10) != e20
| h3(op1(e11,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(e10)) )],[refute_16_1646,refute_16_1647]) ).
cnf(refute_16_1649,plain,
h3(op1(e11,e10)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_1648]) ).
cnf(refute_16_1650,plain,
( e20 != op2(e21,e20)
| h3(op1(e11,e10)) != e20
| h3(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_16_1651,plain,
( e20 != op2(e21,e20)
| h3(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),e20) )],[refute_16_1649,refute_16_1650]) ).
cnf(refute_16_1652,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_16_1653,plain,
( e20 != e20
| e20 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_16_1562,refute_16_1652]) ).
cnf(refute_16_1654,plain,
( e20 != e20
| h3(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_16_1653,refute_16_1651]) ).
cnf(refute_16_1655,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(e21,e20)) )],[refute_16_1654,refute_16_1642]) ).
cnf(refute_16_1656,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_16_239]) ).
cnf(refute_16_1657,plain,
( e13 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_16_1656,refute_16_719]) ).
cnf(refute_16_1658,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_16_1657,refute_16_723]) ).
cnf(refute_16_1659,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_16_1660,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_1659]) ).
cnf(refute_16_1661,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_16_1658,refute_16_1660]) ).
cnf(refute_16_1662,plain,
e10 != e11,
inference(canonicalize,[],[normalize_16_240]) ).
cnf(refute_16_1663,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_16_1661,refute_16_1662]) ).
cnf(refute_16_1664,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_1663,refute_16_843]) ).
cnf(refute_16_1665,plain,
( h4(e11) = op2(h2(e13),e23)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_1664]) ).
cnf(refute_16_1666,plain,
( h2(e13) = h4(op1(e11,e12))
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h2(e13),e23)) )],[refute_16_1665,refute_16_850]) ).
cnf(refute_16_1667,plain,
( h4(e10) != e23
| h4(op1(e11,e12)) != h4(e10)
| h4(op1(e11,e12)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1668,plain,
( h4(e10) != e23
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_16_863,refute_16_1667]) ).
cnf(refute_16_1669,plain,
h4(op1(e11,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_977,refute_16_1668]) ).
cnf(refute_16_1670,plain,
( e21 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_16_1671,plain,
( e21 != h4(op1(e11,e12))
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_16_1669,refute_16_1670]) ).
cnf(refute_16_1672,plain,
( h2(e13) != h4(op1(e11,e12))
| e21 = e23 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e11,e12))) )],[refute_16_853,refute_16_1671]) ).
cnf(refute_16_1673,plain,
( e21 = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e11,e12))) )],[refute_16_1666,refute_16_1672]) ).
cnf(refute_16_1674,plain,
op1(e10,e12) = e11,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_1673,refute_16_99]) ).
cnf(refute_16_1675,plain,
h3(op1(e10,e12)) = h3(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e12)))]]) ).
cnf(refute_16_1676,plain,
( h3(op1(e10,e12)) != h3(op1(e10,e12))
| op1(e10,e12) != e11
| h3(op1(e10,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_16_1677,plain,
( op1(e10,e12) != e11
| h3(op1(e10,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) )],[refute_16_1675,refute_16_1676]) ).
cnf(refute_16_1678,plain,
h3(op1(e10,e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1674,refute_16_1677]) ).
cnf(refute_16_1679,plain,
( h3(e11) != e21
| h3(op1(e10,e12)) != h3(e11)
| h3(op1(e10,e12)) = e21 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e10,e12)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_16_1680,plain,
( h3(e11) != e21
| h3(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(e11)) )],[refute_16_1678,refute_16_1679]) ).
cnf(refute_16_1681,plain,
h3(op1(e10,e12)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_16_1006,refute_16_1680]) ).
cnf(refute_16_1682,plain,
( e21 != op2(e20,e22)
| h3(op1(e10,e12)) != e21
| h3(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_16_1683,plain,
( e21 != op2(e20,e22)
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),e21) )],[refute_16_1681,refute_16_1682]) ).
cnf(refute_16_1684,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_16_165,refute_16_1616]) ).
cnf(refute_16_1685,plain,
( h2(e13) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_16_1684,refute_16_104]) ).
cnf(refute_16_1686,plain,
( e21 != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_1544,refute_16_1685]) ).
cnf(refute_16_1687,plain,
op2(e20,e22) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1686]) ).
cnf(refute_16_1688,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1689,plain,
( e21 != e21
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_1687,refute_16_1688]) ).
cnf(refute_16_1690,plain,
( e21 != e21
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_16_1689,refute_16_1683]) ).
cnf(refute_16_1691,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(e20,e22)) )],[refute_16_1690,refute_16_1655]) ).
cnf(refute_16_1692,plain,
h3(op1(e10,e10)) = h3(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e10)))]]) ).
cnf(refute_16_1693,plain,
( h3(op1(e10,e10)) != h3(op1(e10,e10))
| op1(e10,e10) != e13
| h3(op1(e10,e10)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_16_1694,plain,
( op1(e10,e10) != e13
| h3(op1(e10,e10)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) )],[refute_16_1692,refute_16_1693]) ).
cnf(refute_16_1695,plain,
h3(op1(e10,e10)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_1694]) ).
cnf(refute_16_1696,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != h3(e13)
| h3(op1(e10,e10)) = e23 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(h3(op1(e10,e10)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_16_1697,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(e13)) )],[refute_16_1695,refute_16_1696]) ).
cnf(refute_16_1698,plain,
h3(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_16_1280,refute_16_1697]) ).
cnf(refute_16_1699,plain,
( e23 != h1(e13)
| h3(op1(e10,e10)) != e23
| h3(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),e23) ),[1],$fot(h1(e13))]]) ).
cnf(refute_16_1700,plain,
( e23 != h1(e13)
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),e23) )],[refute_16_1698,refute_16_1699]) ).
cnf(refute_16_1701,plain,
( e23 != e23
| h1(e13) != e23
| e23 = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_16_1702,plain,
( e23 != e23
| e23 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_1701]) ).
cnf(refute_16_1703,plain,
( e23 != e23
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(e23,h1(e13)) )],[refute_16_1702,refute_16_1700]) ).
cnf(refute_16_1704,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h1(e13)) )],[refute_16_1703,refute_16_1691]) ).
cnf(refute_16_1705,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_1704]) ).
cnf(refute_16_1706,plain,
( e22 != e22
| e23 != e23
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1705]) ).
cnf(refute_16_1707,plain,
( e23 != e23
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_1706]) ).
cnf(refute_16_1708,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_1707]) ).
cnf(refute_16_1709,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_16_241]) ).
cnf(refute_16_1710,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_16_242]) ).
cnf(refute_16_1711,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_16_1710,refute_16_286]) ).
cnf(refute_16_1712,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_16_1711,refute_16_555]) ).
cnf(refute_16_1713,plain,
( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_16_1714,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_16_1712,refute_16_1713]) ).
cnf(refute_16_1715,plain,
( op2(e22,e21) != e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_16_1714,refute_16_1709]) ).
cnf(refute_16_1716,plain,
( e21 != op2(e22,e21)
| h2(e13) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_16_1717,plain,
( e21 != op2(e22,e21)
| h2(e13) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_348,refute_16_1716]) ).
cnf(refute_16_1718,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_16_1717,refute_16_1539]) ).
cnf(refute_16_1719,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_16_243]) ).
cnf(refute_16_1720,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_16_244]) ).
cnf(refute_16_1721,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_16_1722,plain,
( e20 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_16_1720,refute_16_1721]) ).
cnf(refute_16_1723,plain,
( e20 != op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_16_1722,refute_16_1719]) ).
cnf(refute_16_1724,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_16_245]) ).
cnf(refute_16_1725,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_16_1724,refute_16_475]) ).
cnf(refute_16_1726,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_16_1727,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_16_1725,refute_16_1726]) ).
cnf(refute_16_1728,plain,
( e20 != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_16_1727,refute_16_1723]) ).
cnf(refute_16_1729,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_1728]) ).
cnf(refute_16_1730,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_16_1731,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_16_1729,refute_16_1730]) ).
cnf(refute_16_1732,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_16_1731,refute_16_1718]) ).
cnf(refute_16_1733,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_1732]) ).
cnf(refute_16_1734,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_16_1735,plain,
( e22 != e22
| op2(e22,e21) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_16_1733,refute_16_1734]) ).
cnf(refute_16_1736,plain,
( e22 != e22
| op2(e22,e23) = e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_16_1735,refute_16_1715]) ).
cnf(refute_16_1737,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_1736]) ).
cnf(refute_16_1738,plain,
( h3(op1(e12,e13)) != e20
| op2(e22,e23) != e20
| h3(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e13)),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_16_1739,plain,
( h3(op1(e12,e13)) != e20
| h3(op1(e12,e13)) = op2(e22,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_16_1737,refute_16_1738]) ).
cnf(refute_16_1740,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(e22,e23)) )],[refute_16_1739,refute_16_1708]) ).
cnf(refute_16_1741,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_16_246]) ).
cnf(refute_16_1742,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_16_1743,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_16_959,refute_16_1742]) ).
cnf(refute_16_1744,plain,
( op1(e12,e11) != e12
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_16_1743,refute_16_1741]) ).
cnf(refute_16_1745,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_248]) ).
cnf(refute_16_1746,plain,
( e10 != op1(e12,e10)
| op1(e11,e10) != e10
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_16_1747,plain,
( e10 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_1745,refute_16_1746]) ).
cnf(refute_16_1748,plain,
( e10 != op1(e12,e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_16_1747,refute_16_878]) ).
cnf(refute_16_1749,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_16_249]) ).
cnf(refute_16_1750,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_16_1749,refute_16_1372]) ).
cnf(refute_16_1751,plain,
( e10 != e10
| op1(e12,e10) != e10
| e10 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_16_1752,plain,
( e10 != e10
| e10 = op1(e12,e10)
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_16_1750,refute_16_1751]) ).
cnf(refute_16_1753,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e10)) )],[refute_16_1752,refute_16_1748]) ).
cnf(refute_16_1754,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_1753]) ).
cnf(refute_16_1755,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_16_1756,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) = e12
| op1(e12,e10) = op1(e12,e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_1754,refute_16_1755]) ).
cnf(refute_16_1757,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_16_1756,refute_16_707]) ).
cnf(refute_16_1758,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_16_250]) ).
cnf(refute_16_1759,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_251]) ).
cnf(refute_16_1760,plain,
( e10 != op1(e12,e11)
| op1(e10,e11) != e10
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_16_1761,plain,
( e10 != op1(e12,e11)
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_16_1759,refute_16_1760]) ).
cnf(refute_16_1762,plain,
( e10 != op1(e12,e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_16_1761,refute_16_1758]) ).
cnf(refute_16_1763,plain,
( e10 != e10
| op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_16_1764,plain,
( e10 != e10
| e10 = op1(e12,e11)
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_16_713,refute_16_1763]) ).
cnf(refute_16_1765,plain,
( e10 != e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_16_1764,refute_16_1762]) ).
cnf(refute_16_1766,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_1765]) ).
cnf(refute_16_1767,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_16_1768,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_1766,refute_16_1767]) ).
cnf(refute_16_1769,plain,
( e11 != e11
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_16_1768,refute_16_1757]) ).
cnf(refute_16_1770,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_1769]) ).
cnf(refute_16_1771,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_1772,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_1770,refute_16_1771]) ).
cnf(refute_16_1773,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e13) = e10
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_1772,refute_16_1744]) ).
cnf(refute_16_1774,plain,
( op1(e12,e10) = e12
| op1(e12,e13) = e10
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_1773]) ).
cnf(refute_16_1775,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_16_1776,plain,
( op1(e12,e10) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_894,refute_16_1775]) ).
cnf(refute_16_1777,plain,
( e11 = e12
| op1(e12,e13) = e10
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_16_1774,refute_16_1776]) ).
cnf(refute_16_1778,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_16_1777,refute_16_874]) ).
cnf(refute_16_1779,plain,
( h3(e10) != e20
| op1(e12,e13) != e10
| h3(op1(e12,e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e13)),e20) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_1780,plain,
( h3(e10) != e20
| h3(op1(e12,e13)) = e20
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_16_1778,refute_16_1779]) ).
cnf(refute_16_1781,plain,
( h3(e10) != e20
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),e20) )],[refute_16_1780,refute_16_1740]) ).
cnf(refute_16_1782,plain,
( e20 != e20
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1289,refute_16_1781]) ).
cnf(refute_16_1783,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e12,e11)) != op2(e22,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_1782]) ).
cnf(refute_16_1784,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| op1(e11,e10) != e10
| h4(e10) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_1785,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| h4(e10) = op2(h2(e13),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_1745,refute_16_1784]) ).
cnf(refute_16_1786,plain,
( h4(e10) = op2(h2(e13),h4(e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_16_1324,refute_16_1785]) ).
cnf(refute_16_1787,plain,
( h4(op1(e11,e10)) != op2(h2(e13),h4(e10))
| op2(h2(e13),h4(e10)) = h4(op1(e11,e10)) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(op2(h2(e13),h4(e10))))]]) ).
cnf(refute_16_1788,plain,
op2(h2(e13),h4(e10)) = h4(op1(e11,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h2(e13),h4(e10))) )],[refute_16_1324,refute_16_1787]) ).
cnf(refute_16_1789,plain,
( h4(e10) != op2(h2(e13),h4(e10))
| op2(h2(e13),h4(e10)) != h4(op1(e11,e10))
| h4(e10) = h4(op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(op1(e11,e10))) ),[0],$fot(op2(h2(e13),h4(e10)))]]) ).
cnf(refute_16_1790,plain,
( h4(e10) != op2(h2(e13),h4(e10))
| h4(e10) = h4(op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),h4(op1(e11,e10))) )],[refute_16_1788,refute_16_1789]) ).
cnf(refute_16_1791,plain,
( h4(e10) = h4(op1(e11,e10))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h2(e13),h4(e10))) )],[refute_16_1786,refute_16_1790]) ).
cnf(refute_16_1792,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_16_252]) ).
cnf(refute_16_1793,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| op2(h2(e13),h2(e13)) = h2(e11) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_16_1794,plain,
op2(h2(e13),h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_1793]) ).
cnf(refute_16_1795,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).
cnf(refute_16_1796,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_1797,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_16_1795,refute_16_1796]) ).
cnf(refute_16_1798,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1797]) ).
cnf(refute_16_1799,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_16_1800,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_16_1801,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_16_1799,refute_16_1800]) ).
cnf(refute_16_1802,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1801]) ).
cnf(refute_16_1803,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_16_1804,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_16_1802,refute_16_1803]) ).
cnf(refute_16_1805,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_16_1798,refute_16_1804]) ).
cnf(refute_16_1806,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_16_1807,plain,
( op2(h2(e13),h2(e13)) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_16_1805,refute_16_1806]) ).
cnf(refute_16_1808,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_16_1794,refute_16_1807]) ).
cnf(refute_16_1809,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_16_1810,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_16_1808,refute_16_1809]) ).
cnf(refute_16_1811,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_16_1792,refute_16_1810]) ).
cnf(refute_16_1812,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_16_253]) ).
cnf(refute_16_1813,plain,
( op1(e10,op1(e10,e12)) != e12
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_254]) ).
cnf(refute_16_1814,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_16_1815,plain,
( op1(e10,e12) = e11
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_16_335,refute_16_1814]) ).
cnf(refute_16_1816,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_16_1815,refute_16_1813]) ).
cnf(refute_16_1817,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_16_1818,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1816,refute_16_1817]) ).
cnf(refute_16_1819,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_16_1818,refute_16_1812]) ).
cnf(refute_16_1820,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_16_1821,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_1626,refute_16_1820]) ).
cnf(refute_16_1822,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_16_1821,refute_16_1819]) ).
cnf(refute_16_1823,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_1822]) ).
cnf(refute_16_1824,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e11
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_1825,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e11,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_16_1823,refute_16_1824]) ).
cnf(refute_16_1826,plain,
( h4(e11) = h2(e11)
| op1(e11,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_16_1811,refute_16_1825]) ).
cnf(refute_16_1827,plain,
( h4(e11) != h2(e11)
| h4(e11) != h2(e13)
| h2(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_1828,plain,
( h4(e11) != h2(e11)
| h2(e13) = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1827]) ).
cnf(refute_16_1829,plain,
( h2(e13) = h2(e11)
| op1(e11,e10) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_16_1826,refute_16_1828]) ).
cnf(refute_16_1830,plain,
( h4(e10) != h4(op1(e11,e10))
| op1(e11,e10) != e11
| h4(e10) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h4(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_16_1831,plain,
( h4(e10) != h4(op1(e11,e10))
| h2(e13) = h2(e11)
| h4(e10) = h4(e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_16_1829,refute_16_1830]) ).
cnf(refute_16_1832,plain,
( h2(e13) = h2(e11)
| h4(e10) = h4(e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(op1(e11,e10))) )],[refute_16_1791,refute_16_1831]) ).
cnf(refute_16_1833,plain,
( h4(e10) != h4(e11)
| h4(e11) != h2(e13)
| h4(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h2(e13)) ),[0],$fot(h4(e11))]]) ).
cnf(refute_16_1834,plain,
( h4(e10) != h4(e11)
| h4(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1833]) ).
cnf(refute_16_1835,plain,
( h2(e13) = h2(e11)
| h4(e10) = h2(e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e11)) )],[refute_16_1832,refute_16_1834]) ).
cnf(refute_16_1836,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_16_255]) ).
cnf(refute_16_1837,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_16_1838,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_1837]) ).
cnf(refute_16_1839,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_16_1838,refute_16_1836]) ).
cnf(refute_16_1840,plain,
( h2(e13) != h4(e10)
| op2(e21,e23) != h4(e10)
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_16_1841,plain,
( h2(e13) != h4(e10)
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_1840]) ).
cnf(refute_16_1842,plain,
h2(e13) != h4(e10),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_16_1841,refute_16_1839]) ).
cnf(refute_16_1843,plain,
( h4(e10) != h2(e13)
| h2(e13) = h4(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_16_1844,plain,
h4(e10) != h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_16_1843,refute_16_1842]) ).
cnf(refute_16_1845,plain,
( h2(e13) = h2(e11)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),h2(e13)) )],[refute_16_1835,refute_16_1844]) ).
cnf(refute_16_1846,plain,
( h2(e13) != h2(e11)
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_16_1847,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_16_1845,refute_16_1846]) ).
cnf(refute_16_1848,plain,
( h4(op1(e12,e11)) = op2(e23,h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_1847]) ).
cnf(refute_16_1849,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_16_256]) ).
cnf(refute_16_1850,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_16_1851,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_16_1852,plain,
( h4(e11) != h2(e13)
| op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_16_1850,refute_16_1851]) ).
cnf(refute_16_1853,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1852]) ).
cnf(refute_16_1854,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_16_1855,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h2(e13))) )],[refute_16_1853,refute_16_1854]) ).
cnf(refute_16_1856,plain,
h4(op1(e10,e11)) = op2(h4(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_16_1849,refute_16_1855]) ).
cnf(refute_16_1857,plain,
( h2(e13) != h2(e11)
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_16_1858,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_16_1845,refute_16_1857]) ).
cnf(refute_16_1859,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e13))) )],[refute_16_1856,refute_16_1858]) ).
cnf(refute_16_1860,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e11))
| op1(e10,e11) != e10
| h4(e10) = op2(h4(e10),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e11))) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_1861,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h2(e11))
| h4(e10) = op2(h4(e10),h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_16_1759,refute_16_1860]) ).
cnf(refute_16_1862,plain,
( h4(e10) = op2(h4(e10),h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h2(e11))) )],[refute_16_1859,refute_16_1861]) ).
cnf(refute_16_1863,plain,
( h2(e13) != h2(e11)
| h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_16_1864,plain,
( h4(op1(e11,e12)) != op2(h2(e13),e23)
| h4(op1(e11,e12)) = op2(h2(e11),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_16_1845,refute_16_1863]) ).
cnf(refute_16_1865,plain,
( h4(op1(e11,e12)) = op2(h2(e11),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_16_502,refute_16_1864]) ).
cnf(refute_16_1866,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_16_1867,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_519,refute_16_1866]) ).
cnf(refute_16_1868,plain,
( op1(e10,e12) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_16_1867,refute_16_1812]) ).
cnf(refute_16_1869,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_16_1870,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1816,refute_16_1869]) ).
cnf(refute_16_1871,plain,
( e11 != e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1870,refute_16_1868]) ).
cnf(refute_16_1872,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_1871]) ).
cnf(refute_16_1873,plain,
( h4(op1(e11,e12)) != op2(h2(e11),e23)
| op1(e11,e12) != e12
| h4(e12) = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e11),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_1874,plain,
( h4(op1(e11,e12)) != op2(h2(e11),e23)
| h4(e12) = op2(h2(e11),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_1872,refute_16_1873]) ).
cnf(refute_16_1875,plain,
( h4(e12) = op2(h2(e11),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e11),e23)) )],[refute_16_1865,refute_16_1874]) ).
cnf(refute_16_1876,plain,
( h4(e12) != e23
| h4(e12) != op2(h2(e11),e23)
| e23 = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h2(e11),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_16_1877,plain,
( h4(e12) != op2(h2(e11),e23)
| e23 = op2(h2(e11),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_16_212,refute_16_1876]) ).
cnf(refute_16_1878,plain,
( e23 = op2(h2(e11),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h2(e11),e23)) )],[refute_16_1875,refute_16_1877]) ).
cnf(refute_16_1879,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h2(e13) = e21
| h2(e13) = e22
| h4(op1(e12,e11)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_16_239,refute_16_701]) ).
cnf(refute_16_1880,plain,
( h2(e13) = e21
| h2(e13) = e22
| h4(op1(e12,e11)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_16_222,refute_16_1879]) ).
cnf(refute_16_1881,plain,
( h2(e13) = e21
| h2(e13) = e22
| h4(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e23)) )],[refute_16_1880,refute_16_705]) ).
cnf(refute_16_1882,plain,
( h4(op1(e12,e11)) != e21
| op1(e12,e11) != e11
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_1883,plain,
( h4(op1(e12,e11)) != e21
| h4(e11) = e21
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_1766,refute_16_1882]) ).
cnf(refute_16_1884,plain,
( h2(e13) = e21
| h2(e13) = e22
| h4(e11) = e21
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_16_1881,refute_16_1883]) ).
cnf(refute_16_1885,plain,
( h2(e13) = e21
| h2(e13) = e22
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_16_1884,refute_16_347]) ).
cnf(refute_16_1886,plain,
( h4(op1(e12,e11)) != e21
| h2(e13) = e21
| h2(e13) = e22
| h4(e12) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_1885,refute_16_770]) ).
cnf(refute_16_1887,plain,
( h2(e13) = e21
| h2(e13) = e22
| h4(e12) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_16_1881,refute_16_1886]) ).
cnf(refute_16_1888,plain,
( e23 = e21
| h2(e13) = e21
| h2(e13) = e22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_16_1887,refute_16_340]) ).
cnf(refute_16_1889,plain,
( h2(e13) = e21
| h2(e13) = e22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_1888,refute_16_144]) ).
cnf(refute_16_1890,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e22
| h2(e11) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_16_1891,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e22)
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_1889,refute_16_1890]) ).
cnf(refute_16_1892,plain,
( h2(e11) = op2(h2(e13),e22)
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_1891]) ).
cnf(refute_16_1893,plain,
( h2(e11) != op2(h2(e13),e22)
| h2(e13) != e22
| h2(e11) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),e22)) ),[1,0],$fot(e22)]]) ).
cnf(refute_16_1894,plain,
( h2(e11) != op2(h2(e13),e22)
| h2(e11) = op2(e22,e22)
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_16_1889,refute_16_1893]) ).
cnf(refute_16_1895,plain,
( h2(e11) = op2(e22,e22)
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e22)) )],[refute_16_1892,refute_16_1894]) ).
cnf(refute_16_1896,plain,
( h2(e11) != op2(e22,e22)
| op2(e22,e22) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_16_1897,plain,
( h2(e11) != op2(e22,e22)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_1896]) ).
cnf(refute_16_1898,plain,
( h2(e11) = e23
| h2(e13) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e22)) )],[refute_16_1895,refute_16_1897]) ).
cnf(refute_16_1899,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = e23
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_16_1898,refute_16_405]) ).
cnf(refute_16_1900,plain,
( h2(e11) = e23
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_16_380,refute_16_1899]) ).
cnf(refute_16_1901,plain,
( h2(e11) = e23
| h2(e11) = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_16_1900,refute_16_411]) ).
cnf(refute_16_1902,plain,
( e23 != op2(h2(e11),e23)
| h2(e11) != e23
| e23 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(h2(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1903,plain,
( e23 != op2(h2(e11),e23)
| e23 = op2(e23,e23)
| h2(e11) = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_16_1901,refute_16_1902]) ).
cnf(refute_16_1904,plain,
( e23 = op2(e23,e23)
| h2(e11) = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e11),e23)) )],[refute_16_1878,refute_16_1903]) ).
cnf(refute_16_1905,plain,
( e23 != op2(e23,e23)
| op2(e23,e23) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_16_1906,plain,
( e23 != op2(e23,e23)
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_46,refute_16_1905]) ).
cnf(refute_16_1907,plain,
( e23 = e21
| h2(e11) = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e23)) )],[refute_16_1904,refute_16_1906]) ).
cnf(refute_16_1908,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_1907,refute_16_144]) ).
cnf(refute_16_1909,plain,
( e23 != op2(h2(e11),e23)
| h2(e11) != h2(e10)
| e23 = op2(h2(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(h2(e11),e23)) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_16_1910,plain,
( e23 != op2(h2(e11),e23)
| e23 = op2(h2(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_16_1908,refute_16_1909]) ).
cnf(refute_16_1911,plain,
( e23 = op2(h2(e10),e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e11),e23)) )],[refute_16_1878,refute_16_1910]) ).
cnf(refute_16_1912,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_16_257]) ).
cnf(refute_16_1913,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_16_1914,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = e11
| op1(e11,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_519,refute_16_1913]) ).
cnf(refute_16_1915,plain,
( e12 != op1(e11,e13)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_16_1914,refute_16_1912]) ).
cnf(refute_16_1916,plain,
( e10 != op1(e11,e13)
| op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_16_1917,plain,
( e10 != op1(e11,e13)
| op1(e11,e10) = op1(e11,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_1745,refute_16_1916]) ).
cnf(refute_16_1918,plain,
( e10 != op1(e11,e13)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_16_1917,refute_16_899]) ).
cnf(refute_16_1919,plain,
( e10 != e10
| op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_16_1920,plain,
( e10 != e10
| e10 = op1(e11,e13)
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_16_923,refute_16_1919]) ).
cnf(refute_16_1921,plain,
( e10 != e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_16_1920,refute_16_1918]) ).
cnf(refute_16_1922,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_1921]) ).
cnf(refute_16_1923,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_16_1924,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_16_1922,refute_16_1923]) ).
cnf(refute_16_1925,plain,
( e12 != e12
| op1(e11,e12) = e11
| op1(e11,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_16_1924,refute_16_1915]) ).
cnf(refute_16_1926,plain,
( op1(e11,e12) = e11
| op1(e11,e13) = e13
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_1925]) ).
cnf(refute_16_1927,plain,
( h4(op1(e11,e13)) != h2(e10)
| op1(e11,e13) != e13
| h4(e13) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) ),[0,0],$fot(e13)]]) ).
cnf(refute_16_1928,plain,
( h4(op1(e11,e13)) != h2(e10)
| h4(e13) = h2(e10)
| op1(e11,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_1926,refute_16_1927]) ).
cnf(refute_16_1929,plain,
( h4(e13) = h2(e10)
| op1(e11,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_16_917,refute_16_1928]) ).
cnf(refute_16_1930,plain,
( h4(e13) != e21
| h4(e13) != h2(e10)
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e10)) ),[0],$fot(e21)]]) ).
cnf(refute_16_1931,plain,
( h4(e13) != h2(e10)
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_1930]) ).
cnf(refute_16_1932,plain,
( e21 = h2(e10)
| op1(e11,e12) = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e10)) )],[refute_16_1929,refute_16_1931]) ).
cnf(refute_16_1933,plain,
( op1(e11,e12) != e11
| e12 = e11
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_1872,refute_16_871]) ).
cnf(refute_16_1934,plain,
( e12 = e11
| e21 = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_1932,refute_16_1933]) ).
cnf(refute_16_1935,plain,
( e21 = h2(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_16_1934,refute_16_876]) ).
cnf(refute_16_1936,plain,
( e21 != h2(e10)
| h2(e10) = e21 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_16_1937,plain,
( h2(e10) = e21
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_16_1935,refute_16_1936]) ).
cnf(refute_16_1938,plain,
( e23 != op2(h2(e10),e23)
| h2(e10) != e21
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e23,op2(h2(e10),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_1939,plain,
( e23 != op2(h2(e10),e23)
| e23 = op2(e21,e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_16_1937,refute_16_1938]) ).
cnf(refute_16_1940,plain,
( e23 = op2(e21,e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e10),e23)) )],[refute_16_1911,refute_16_1939]) ).
cnf(refute_16_1941,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_16_1942,plain,
( e23 != op2(e21,e23)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_1941]) ).
cnf(refute_16_1943,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_16_1940,refute_16_1942]) ).
cnf(refute_16_1944,plain,
( h4(e10) = e23
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_16_1943,refute_16_976]) ).
cnf(refute_16_1945,plain,
( h4(e10) != e23
| h4(e10) != op2(h4(e10),h2(e11))
| h4(e10) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(h4(e10),h2(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_1946,plain,
( h4(e10) != op2(h4(e10),h2(e11))
| h4(e10) = op2(e23,h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_16_1944,refute_16_1945]) ).
cnf(refute_16_1947,plain,
( h4(e10) = op2(e23,h2(e11))
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e10),h2(e11))) )],[refute_16_1862,refute_16_1946]) ).
cnf(refute_16_1948,plain,
( h4(e10) != op2(e23,h2(e11))
| op2(e23,h2(e11)) = h4(e10) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e23,h2(e11))))]]) ).
cnf(refute_16_1949,plain,
( op2(e23,h2(e11)) = h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,h2(e11))) )],[refute_16_1947,refute_16_1948]) ).
cnf(refute_16_1950,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e11))
| op2(e23,h2(e11)) != h4(e10)
| h4(op1(e12,e11)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),h4(e10)) ),[0],$fot(op2(e23,h2(e11)))]]) ).
cnf(refute_16_1951,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e11))
| h4(op1(e12,e11)) = h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e11)),h4(e10)) )],[refute_16_1949,refute_16_1950]) ).
cnf(refute_16_1952,plain,
( h4(op1(e12,e11)) = h4(e10)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e11))) )],[refute_16_1848,refute_16_1951]) ).
cnf(refute_16_1953,plain,
( h4(op1(e12,e11)) != h4(e10)
| op1(e12,e11) != e11
| h4(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(e10)) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_1954,plain,
( h4(op1(e12,e11)) != h4(e10)
| h4(e11) = h4(e10)
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_1766,refute_16_1953]) ).
cnf(refute_16_1955,plain,
( h4(e11) = h4(e10)
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e10)) )],[refute_16_1952,refute_16_1954]) ).
cnf(refute_16_1956,plain,
( h4(e11) != h2(e13)
| h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_16_1957,plain,
( h4(e11) != h4(e10)
| h2(e13) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_63,refute_16_1956]) ).
cnf(refute_16_1958,plain,
( h2(e13) = h4(e10)
| op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(e10)) )],[refute_16_1955,refute_16_1957]) ).
cnf(refute_16_1959,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_16_1958,refute_16_1842]) ).
cnf(refute_16_1960,plain,
( h3(e12) != op2(e22,e21)
| op1(e12,e11) != e12
| h3(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_1961,plain,
( h3(e12) != op2(e22,e21)
| h3(op1(e12,e11)) = op2(e22,e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_1959,refute_16_1960]) ).
cnf(refute_16_1962,plain,
( h3(e12) != op2(e22,e21)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(e22,e21)) )],[refute_16_1961,refute_16_1783]) ).
cnf(refute_16_1963,plain,
( e22 != op2(e22,e21)
| h3(e12) != e22
| h3(e12) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_16_1964,plain,
( e22 != op2(e22,e21)
| h3(e12) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1963]) ).
cnf(refute_16_1965,plain,
( e22 != op2(e22,e21)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e13)) != op2(e20,e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e21)) )],[refute_16_1964,refute_16_1962]) ).
cnf(refute_16_1966,plain,
( op1(e10,op1(e10,e13)) != e13
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_258]) ).
cnf(refute_16_1967,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_16_259]) ).
cnf(refute_16_1968,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_16_260]) ).
cnf(refute_16_1969,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_16_1970,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_1969]) ).
cnf(refute_16_1971,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_16_1970,refute_16_1968]) ).
cnf(refute_16_1972,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_16_1967,refute_16_1971]) ).
cnf(refute_16_1973,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_16_261]) ).
cnf(refute_16_1974,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_16_262]) ).
cnf(refute_16_1975,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_16_1974,refute_16_513]) ).
cnf(refute_16_1976,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_16_1977,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13)
| op1(e11,e10) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_1975,refute_16_1976]) ).
cnf(refute_16_1978,plain,
( op1(e10,e13) != e13
| op1(e11,e10) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_16_1977,refute_16_1973]) ).
cnf(refute_16_1979,plain,
( op1(e10,e13) != e13
| e10 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_16_1978,refute_16_1375]) ).
cnf(refute_16_1980,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_16_1981,plain,
( op1(e11,e11) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_16_1629,refute_16_1980]) ).
cnf(refute_16_1982,plain,
( op1(e10,e13) != e13
| e10 = e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_16_1979,refute_16_1981]) ).
cnf(refute_16_1983,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_16_1982,refute_16_969]) ).
cnf(refute_16_1984,plain,
op1(e10,e13) != e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_1983,refute_16_721]) ).
cnf(refute_16_1985,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_16_1972,refute_16_1984]) ).
cnf(refute_16_1986,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| op1(e10,op1(e10,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_16_1987,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_16_1985,refute_16_1986]) ).
cnf(refute_16_1988,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_16_1987,refute_16_1966]) ).
cnf(refute_16_1989,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_16_1990,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_1989]) ).
cnf(refute_16_1991,plain,
( e13 != e13
| op1(e10,e13) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1990,refute_16_1988]) ).
cnf(refute_16_1992,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_16_1993,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_16_1992,refute_16_1991]) ).
cnf(refute_16_1994,plain,
( h3(e12) != op2(e20,e23)
| op1(e10,e13) != e12
| h3(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_16_1995,plain,
( h3(e12) != op2(e20,e23)
| h3(op1(e10,e13)) = op2(e20,e23)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_16_1993,refute_16_1994]) ).
cnf(refute_16_1996,plain,
( e22 != op2(e22,e21)
| h3(e12) != op2(e20,e23)
| h3(op1(e10,e11)) != op2(e20,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(e20,e23)) )],[refute_16_1995,refute_16_1965]) ).
cnf(refute_16_1997,plain,
( e22 != op2(e20,e23)
| h3(e12) != e22
| h3(e12) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),e22) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_16_1998,plain,
( e22 != op2(e20,e23)
| h3(e12) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_16_1047,refute_16_1997]) ).
cnf(refute_16_1999,plain,
( e22 != op2(e20,e23)
| e22 != op2(e22,e21)
| h3(op1(e10,e11)) != op2(e20,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e23)) )],[refute_16_1998,refute_16_1996]) ).
cnf(refute_16_2000,plain,
( h3(e10) != op2(e20,e21)
| op1(e10,e11) != e10
| h3(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_2001,plain,
( h3(e10) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(e20,e21)
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_16_1759,refute_16_2000]) ).
cnf(refute_16_2002,plain,
( e22 != op2(e20,e23)
| e22 != op2(e22,e21)
| h3(e10) != op2(e20,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(e20,e21)) )],[refute_16_2001,refute_16_1999]) ).
cnf(refute_16_2003,plain,
( e20 != op2(e20,e21)
| h3(e10) != e20
| h3(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_16_2004,plain,
( e20 != op2(e20,e21)
| h3(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_16_1037,refute_16_2003]) ).
cnf(refute_16_2005,plain,
( e20 != op2(e20,e21)
| e22 != op2(e20,e23)
| e22 != op2(e22,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e20,e21)) )],[refute_16_2004,refute_16_2002]) ).
cnf(refute_16_2006,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_16_2007,plain,
( e22 != e22
| e22 = op2(e22,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_16_1733,refute_16_2006]) ).
cnf(refute_16_2008,plain,
( e20 != op2(e20,e21)
| e22 != e22
| e22 != op2(e20,e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_16_2007,refute_16_2005]) ).
cnf(refute_16_2009,plain,
( e20 != op2(e20,e21)
| e22 != op2(e20,e23)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_2008]) ).
cnf(refute_16_2010,plain,
( e22 != op2(e22,e23)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_16_2011,plain,
( e22 != op2(e22,e23)
| op2(e22,e21) = op2(e22,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_16_1733,refute_16_2010]) ).
cnf(refute_16_2012,plain,
( e22 != op2(e22,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_16_2011,refute_16_1709]) ).
cnf(refute_16_2013,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_16_263]) ).
cnf(refute_16_2014,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_16_2013,refute_16_664]) ).
cnf(refute_16_2015,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_16_2014,refute_16_668]) ).
cnf(refute_16_2016,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_16_2017,plain,
( op2(e21,e23) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_16_1354,refute_16_2016]) ).
cnf(refute_16_2018,plain,
( e21 = e22
| e23 = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_16_2015,refute_16_2017]) ).
cnf(refute_16_2019,plain,
( e23 = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_16_2018,refute_16_187]) ).
cnf(refute_16_2020,plain,
( op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_16_2019,refute_16_93]) ).
cnf(refute_16_2021,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_16_2022,plain,
( e22 != e22
| e22 = op2(e22,e23)
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_16_2020,refute_16_2021]) ).
cnf(refute_16_2023,plain,
( e22 != e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_16_2022,refute_16_2012]) ).
cnf(refute_16_2024,plain,
( op2(e20,e23) = e22
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_2023]) ).
cnf(refute_16_2025,plain,
( e22 != e22
| op2(e20,e23) != e22
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_16_2026,plain,
( e22 != e22
| e22 = op2(e20,e23)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_16_2024,refute_16_2025]) ).
cnf(refute_16_2027,plain,
( e20 != op2(e20,e21)
| e22 != e22
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_16_2026,refute_16_2009]) ).
cnf(refute_16_2028,plain,
( e20 != op2(e20,e21)
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_2027]) ).
cnf(refute_16_2029,plain,
( e20 != e20
| op2(e20,e21) != e20
| e20 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_16_2030,plain,
( e20 != e20
| e20 = op2(e20,e21)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_16_1720,refute_16_2029]) ).
cnf(refute_16_2031,plain,
( e20 != e20
| definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e21)) )],[refute_16_2030,refute_16_2028]) ).
cnf(refute_16_2032,plain,
( definitionFOFtoCNF_22
| definitionFOFtoCNF_7 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_2031]) ).
cnf(refute_16_2033,plain,
( ~ definitionFOFtoCNF_0
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_16_2032,refute_16_999]) ).
cnf(refute_16_2034,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_11
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_16_272]) ).
cnf(refute_16_2035,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_16_273]) ).
cnf(refute_16_2036,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_16_275]) ).
cnf(refute_16_2037,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_16_2038,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_16_2036,refute_16_2037]) ).
cnf(refute_16_2039,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_16_2038,refute_16_1812]) ).
cnf(refute_16_2040,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_16_2041,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_16_519,refute_16_2040]) ).
cnf(refute_16_2042,plain,
( e12 != e12
| op1(e11,e12) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_16_2041,refute_16_2039]) ).
cnf(refute_16_2043,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_2042]) ).
cnf(refute_16_2044,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_16_2045,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_16_2043,refute_16_2044]) ).
cnf(refute_16_2046,plain,
( op1(e11,e10) != e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_16_2045,refute_16_833]) ).
cnf(refute_16_2047,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_16_276]) ).
cnf(refute_16_2048,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_16_277]) ).
cnf(refute_16_2049,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_16_2048,refute_16_1314]) ).
cnf(refute_16_2050,plain,
( op1(e12,e10) != e12
| e11 = e12
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_2049,refute_16_1775]) ).
cnf(refute_16_2051,plain,
( e11 = e12
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_16_2047,refute_16_2050]) ).
cnf(refute_16_2052,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_16_2051,refute_16_874]) ).
cnf(refute_16_2053,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_16_2054,plain,
( e11 != e11
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_16_2052,refute_16_2053]) ).
cnf(refute_16_2055,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_16_2054,refute_16_2046]) ).
cnf(refute_16_2056,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_2055]) ).
cnf(refute_16_2057,plain,
( e11 != op1(e12,e10)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_16_2058,plain,
( e11 != op1(e12,e10)
| op1(e10,e10) = op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_16_2056,refute_16_2057]) ).
cnf(refute_16_2059,plain,
( e11 != op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_16_2058,refute_16_2035]) ).
cnf(refute_16_2060,plain,
( op1(e12,op1(e12,e11)) != e11
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_16_278]) ).
cnf(refute_16_2061,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_16_2062,plain,
( op1(e12,e10) = e11
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_16_746,refute_16_2061]) ).
cnf(refute_16_2063,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_16_2062,refute_16_2060]) ).
cnf(refute_16_2064,plain,
( e11 != e11
| op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_16_2065,plain,
( e11 != e11
| e11 = op1(e12,e10)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_16_2063,refute_16_2064]) ).
cnf(refute_16_2066,plain,
( e11 != e11
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_16_2065,refute_16_2059]) ).
cnf(refute_16_2067,plain,
definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_2066]) ).
cnf(refute_16_2068,plain,
( op1(e11,op1(e11,e10)) != e10
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_16_2067,refute_16_2034]) ).
cnf(refute_16_2069,plain,
( e10 != e10
| ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),e10) )],[refute_16_996,refute_16_2068]) ).
cnf(refute_16_2070,plain,
( ~ definitionFOFtoCNF_8
| ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_2069]) ).
cnf(refute_16_2071,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_12
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(canonicalize,[],[normalize_16_290]) ).
cnf(refute_16_2072,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_16_292]) ).
cnf(refute_16_2073,plain,
( ~ definitionFOFtoCNF_12
| ~ definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_16_2072,refute_16_957]) ).
cnf(refute_16_2074,plain,
( op1(e13,op1(e13,e11)) != e11
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_16_294]) ).
cnf(refute_16_2075,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_16_295]) ).
cnf(refute_16_2076,plain,
( op1(e13,e11) != e13
| op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,op1(e13,e11)),e11) ),[0,1],$fot(e13)]]) ).
cnf(refute_16_2077,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e11)) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_16_2075,refute_16_2076]) ).
cnf(refute_16_2078,plain,
( op1(e13,e13) != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),e11) )],[refute_16_2077,refute_16_2074]) ).
cnf(refute_16_2079,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_16_2080,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_742,refute_16_2079]) ).
cnf(refute_16_2081,plain,
( e11 != e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_16_2080,refute_16_2078]) ).
cnf(refute_16_2082,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_16_764,refute_16_2081]) ).
cnf(refute_16_2083,plain,
~ definitionFOFtoCNF_12,
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_16_2082,refute_16_2073]) ).
cnf(refute_16_2084,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_14
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_12 )],[refute_16_2071,refute_16_2083]) ).
cnf(refute_16_2085,plain,
( ~ definitionFOFtoCNF_14
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_16_297]) ).
cnf(refute_16_2086,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_16_2087,plain,
( op1(e13,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_16_331,refute_16_2086]) ).
cnf(refute_16_2088,plain,
( ~ definitionFOFtoCNF_14
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_16_2085,refute_16_2087]) ).
cnf(refute_16_2089,plain,
~ definitionFOFtoCNF_14,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_16_2088,refute_16_1485]) ).
cnf(refute_16_2090,plain,
( op1(e10,e13) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( definitionFOFtoCNF_14 )],[refute_16_2084,refute_16_2089]) ).
cnf(refute_16_2091,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_16_2092,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_16_2090,refute_16_2091]) ).
cnf(refute_16_2093,plain,
( e13 != op1(e11,e13)
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_16_2092,refute_16_1973]) ).
cnf(refute_16_2094,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_16_2095,plain,
( e13 != e13
| e13 = op1(e11,e13)
| op1(e11,e10) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_16_1975,refute_16_2094]) ).
cnf(refute_16_2096,plain,
( e13 != e13
| op1(e11,e10) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_16_2095,refute_16_2093]) ).
cnf(refute_16_2097,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_16_1992,refute_16_2096]) ).
cnf(refute_16_2098,plain,
( e10 = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_16_2097,refute_16_1375]) ).
cnf(refute_16_2099,plain,
( e10 = e13
| e11 = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_16_2098,refute_16_1981]) ).
cnf(refute_16_2100,plain,
( e11 = e13
| definitionFOFtoCNF_8 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_16_2099,refute_16_969]) ).
cnf(refute_16_2101,plain,
definitionFOFtoCNF_8,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_2100,refute_16_721]) ).
cnf(refute_16_2102,plain,
( ~ definitionFOFtoCNF_9
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_8 )],[refute_16_2101,refute_16_2070]) ).
cnf(refute_16_2103,plain,
( ~ definitionFOFtoCNF_10
| op1(e11,e13) = e11
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_16_299]) ).
cnf(refute_16_2104,plain,
( ~ definitionFOFtoCNF_10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_16_2103,refute_16_922]) ).
cnf(refute_16_2105,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_16_300]) ).
cnf(refute_16_2106,plain,
( op1(e12,op1(e12,e13)) != e13
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_16_302]) ).
cnf(refute_16_2107,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| op1(e12,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_16_2108,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| op1(e12,op1(e12,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_16_959,refute_16_2107]) ).
cnf(refute_16_2109,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),e13) )],[refute_16_2108,refute_16_2106]) ).
cnf(refute_16_2110,plain,
( e13 != e13
| op1(e12,e12) != e13
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_16_2111,plain,
( e13 != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_316,refute_16_2110]) ).
cnf(refute_16_2112,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_16_2111,refute_16_2109]) ).
cnf(refute_16_2113,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_16_1992,refute_16_2112]) ).
cnf(refute_16_2114,plain,
( op1(e10,e13) != e10
| op1(e12,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_16_2115,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e12,e13)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_16_2113,refute_16_2114]) ).
cnf(refute_16_2116,plain,
( op1(e10,e13) != e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_16_2115,refute_16_2105]) ).
cnf(refute_16_2117,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_2118,plain,
( e10 != e10
| op1(e10,e13) = e10
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_16_1985,refute_16_2117]) ).
cnf(refute_16_2119,plain,
( e10 != e10
| op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_16_2118,refute_16_2116]) ).
cnf(refute_16_2120,plain,
( op1(e10,e13) = e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_2119]) ).
cnf(refute_16_2121,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_7 ),
inference(canonicalize,[],[normalize_16_303]) ).
cnf(refute_16_2122,plain,
( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(canonicalize,[],[normalize_16_304]) ).
cnf(refute_16_2123,plain,
op1(e10,op1(e10,e11)) = op1(e10,op1(e10,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e10,e11)))]]) ).
cnf(refute_16_2124,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e11)) != op1(e10,op1(e10,e11))
| op1(e10,op1(e10,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e11)),op1(e10,op1(e10,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_16_2125,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e11)),op1(e10,op1(e10,e11))) )],[refute_16_2123,refute_16_2124]) ).
cnf(refute_16_2126,plain,
( op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_16_2127,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e11)),op1(e10,e10)) )],[refute_16_2125,refute_16_2126]) ).
cnf(refute_16_2128,plain,
( op1(e10,e11) != e10
| op1(e11,e10) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e11)),e11) )],[refute_16_2122,refute_16_2127]) ).
cnf(refute_16_2129,plain,
( e10 != e10
| op1(e11,e10) != e10
| op1(e11,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_16_2130,plain,
( e10 != e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_987,refute_16_2129]) ).
cnf(refute_16_2131,plain,
( e10 != e10
| op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,e10) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_16_2130,refute_16_2128]) ).
cnf(refute_16_2132,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_16_2133,plain,
( op1(e10,e10) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_2132]) ).
cnf(refute_16_2134,plain,
( e10 != e10
| op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| e13 = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_16_2131,refute_16_2133]) ).
cnf(refute_16_2135,plain,
op1(e10,op1(e10,e10)) = op1(e10,op1(e10,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e10,e10)))]]) ).
cnf(refute_16_2136,plain,
( op1(e10,e10) != e13
| op1(e10,op1(e10,e10)) != op1(e10,op1(e10,e10))
| op1(e10,op1(e10,e10)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) ),[1,1],$fot(e13)]]) ).
cnf(refute_16_2137,plain,
( op1(e10,e10) != e13
| op1(e10,op1(e10,e10)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) )],[refute_16_2135,refute_16_2136]) ).
cnf(refute_16_2138,plain,
op1(e10,op1(e10,e10)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_2137]) ).
cnf(refute_16_2139,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) != op1(e10,e13)
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_16_2140,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e13)) )],[refute_16_2138,refute_16_2139]) ).
cnf(refute_16_2141,plain,
( e10 != e10
| op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| e13 = e11
| op1(e10,e13) = e10
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_16_2134,refute_16_2140]) ).
cnf(refute_16_2142,plain,
op1(e10,op1(e10,e12)) = op1(e10,op1(e10,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e10,e12)))]]) ).
cnf(refute_16_2143,plain,
( op1(e10,e12) != e11
| op1(e10,op1(e10,e12)) != op1(e10,op1(e10,e12))
| op1(e10,op1(e10,e12)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),op1(e10,op1(e10,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_16_2144,plain,
( op1(e10,e12) != e11
| op1(e10,op1(e10,e12)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),op1(e10,op1(e10,e12))) )],[refute_16_2142,refute_16_2143]) ).
cnf(refute_16_2145,plain,
op1(e10,op1(e10,e12)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1674,refute_16_2144]) ).
cnf(refute_16_2146,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e12)) != op1(e10,e11)
| op1(e10,op1(e10,e12)) = e10 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op1(e10,op1(e10,e12)))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(e10))]]) ).
cnf(refute_16_2147,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e12)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),op1(e10,e11)) )],[refute_16_2145,refute_16_2146]) ).
cnf(refute_16_2148,plain,
( op1(e10,op1(e10,e12)) != e10
| op1(e10,op1(e10,e12)) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0],$fot(e10)]]) ).
cnf(refute_16_2149,plain,
( op1(e10,e11) != e10
| op1(e10,op1(e10,e12)) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e10) )],[refute_16_2147,refute_16_2148]) ).
cnf(refute_16_2150,plain,
( e10 != e10
| op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| e10 = e12
| e13 = e11
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_16_2141,refute_16_2149]) ).
cnf(refute_16_2151,plain,
( op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| e10 = e12
| e13 = e11
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_2150]) ).
cnf(refute_16_2152,plain,
( op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| e13 = e11
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_16_2151,refute_16_1485]) ).
cnf(refute_16_2153,plain,
( op1(e10,e11) != e10
| ~ definitionFOFtoCNF_7
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_16_2152,refute_16_723]) ).
cnf(refute_16_2154,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_16_305]) ).
cnf(refute_16_2155,plain,
( op1(e10,e11) != e12
| op1(e12,e11) != e12
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_16_2156,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_16_2154,refute_16_2155]) ).
cnf(refute_16_2157,plain,
( op1(e10,e11) != e12
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_16_2156,refute_16_1758]) ).
cnf(refute_16_2158,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_16_306]) ).
cnf(refute_16_2159,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_16_307]) ).
cnf(refute_16_2160,plain,
( op1(e10,e11) != e11
| op1(e11,e11) != e11
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_16_2161,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_16_1629,refute_16_2160]) ).
cnf(refute_16_2162,plain,
op1(e10,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_16_2161,refute_16_2159]) ).
cnf(refute_16_2163,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_16_2158,refute_16_2162]) ).
cnf(refute_16_2164,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_16_308]) ).
cnf(refute_16_2165,plain,
( e13 != op1(e10,e11)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_16_2166,plain,
( e13 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_16_1384,refute_16_2165]) ).
cnf(refute_16_2167,plain,
e13 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_16_2166,refute_16_2164]) ).
cnf(refute_16_2168,plain,
( op1(e10,e11) != e13
| e13 = op1(e10,e11) ),
inference(subst,[],[refute_16_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(e13))]]) ).
cnf(refute_16_2169,plain,
op1(e10,e11) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e11)) )],[refute_16_2168,refute_16_2167]) ).
cnf(refute_16_2170,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_16_2163,refute_16_2169]) ).
cnf(refute_16_2171,plain,
( e12 != e12
| op1(e10,e11) != e12
| op1(e10,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_16_2172,plain,
( e12 != e12
| op1(e10,e11) = e10
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_16_2170,refute_16_2171]) ).
cnf(refute_16_2173,plain,
( e12 != e12
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_16_2172,refute_16_2157]) ).
cnf(refute_16_2174,plain,
( op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_16_841,refute_16_2173]) ).
cnf(refute_16_2175,plain,
( e10 != e10
| op1(e10,e11) != e10
| op1(e10,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_16_2176,plain,
( e10 != e10
| op1(e10,e11) = e10
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_16_2174,refute_16_2175]) ).
cnf(refute_16_2177,plain,
( e10 != e10
| ~ definitionFOFtoCNF_7
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_16_2176,refute_16_2153]) ).
cnf(refute_16_2178,plain,
( ~ definitionFOFtoCNF_7
| op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_16_998,refute_16_2177]) ).
cnf(refute_16_2179,plain,
( op1(e10,e13) = e10
| op1(e10,op1(e10,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_7 )],[refute_16_2121,refute_16_2178]) ).
cnf(refute_16_2180,plain,
( op1(e10,e13) != e12
| op1(e10,op1(e10,e13)) != e13
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) ),[0,1],$fot(e12)]]) ).
cnf(refute_16_2181,plain,
( op1(e10,op1(e10,e13)) != e13
| op1(e10,e12) = e13
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_16_2120,refute_16_2180]) ).
cnf(refute_16_2182,plain,
( op1(e10,e12) = e13
| op1(e10,e13) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e13)),e13) )],[refute_16_2179,refute_16_2181]) ).
cnf(refute_16_2183,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e11)]]) ).
cnf(refute_16_2184,plain,
( op1(e10,e12) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_16_1674,refute_16_2183]) ).
cnf(refute_16_2185,plain,
( e11 = e13
| op1(e10,e13) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_16_2182,refute_16_2184]) ).
cnf(refute_16_2186,plain,
( op1(e10,e13) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_16_2185,refute_16_721]) ).
cnf(refute_16_2187,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_16_2188,plain,
( op1(e10,e13) != e12
| e10 = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_16_2186,refute_16_2187]) ).
cnf(refute_16_2189,plain,
( e10 = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_16_2120,refute_16_2188]) ).
cnf(refute_16_2190,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_16_2189,refute_16_1485]) ).
cnf(refute_16_2191,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_16_2190,refute_16_2104]) ).
cnf(refute_16_2192,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_16_2191,refute_16_2102]) ).
cnf(refute_16_2193,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_16_2192,refute_16_2033]) ).
cnf(refute_16_2194,plain,
~ definitionFOFtoCNF_15,
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_16_2193,refute_16_793]) ).
cnf(refute_16_2195,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_16_309]) ).
cnf(refute_16_2196,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_16_12,refute_16_2195]) ).
cnf(refute_16_2197,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_16_81,refute_16_2196]) ).
cnf(refute_16_2198,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_16_542,refute_16_2197]) ).
cnf(refute_16_2199,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_16_563,refute_16_2198]) ).
cnf(refute_16_2200,plain,
( e21 != e21
| ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_16_791,refute_16_2199]) ).
cnf(refute_16_2201,plain,
( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_2200]) ).
cnf(refute_16_2202,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_16_310]) ).
cnf(refute_16_2203,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_16_2204,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_16_1712,refute_16_2203]) ).
cnf(refute_16_2205,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_16_2204,refute_16_2202]) ).
cnf(refute_16_2206,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_16_2207,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_22,refute_16_2206]) ).
cnf(refute_16_2208,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_2207,refute_16_2205]) ).
cnf(refute_16_2209,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_16_456,refute_16_2208]) ).
cnf(refute_16_2210,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_16_2211,plain,
( op2(e22,e23) != e20
| e22 = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_16_2020,refute_16_2210]) ).
cnf(refute_16_2212,plain,
( e22 = e20
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_16_2209,refute_16_2211]) ).
cnf(refute_16_2213,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_16_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_16_2214,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_2213,refute_16_178]) ).
cnf(refute_16_2215,plain,
( op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_16_2212,refute_16_2214]) ).
cnf(refute_16_2216,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_16_311]) ).
cnf(refute_16_2217,plain,
( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(canonicalize,[],[normalize_16_312]) ).
cnf(refute_16_2218,plain,
( op2(e20,op2(e20,e20)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) ),[0],$fot(op2(e20,h1(e13)))]]) ).
cnf(refute_16_2219,plain,
( op2(e20,op2(e20,e20)) != e20
| op2(e20,h1(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_16_116,refute_16_2218]) ).
cnf(refute_16_2220,plain,
( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,h1(e13)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_16_2217,refute_16_2219]) ).
cnf(refute_16_2221,plain,
op2(e20,op2(e20,e21)) = op2(e20,op2(e20,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e21)))]]) ).
cnf(refute_16_2222,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e21)) != op2(e20,op2(e20,e21))
| op2(e20,op2(e20,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e21)),op2(e20,op2(e20,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_16_2223,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),op2(e20,op2(e20,e21))) )],[refute_16_2221,refute_16_2222]) ).
cnf(refute_16_2224,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e21)) != op2(e20,e20)
| op2(e20,op2(e20,e21)) = h1(e13) ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(e20,op2(e20,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_16_2225,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,e21) != e20
| op2(e20,op2(e20,e21)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),op2(e20,e20)) )],[refute_16_2223,refute_16_2224]) ).
cnf(refute_16_2226,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e21)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_16_112,refute_16_2225]) ).
cnf(refute_16_2227,plain,
( op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e21)) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e21)),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_16_2228,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e21)) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),h1(e13)) )],[refute_16_2226,refute_16_2227]) ).
cnf(refute_16_2229,plain,
( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| h1(e13) = e21
| op2(e20,h1(e13)) = e20
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),e21) )],[refute_16_2220,refute_16_2228]) ).
cnf(refute_16_2230,plain,
( e20 != e20
| op2(e21,e20) != e20
| op2(e21,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_16_2231,plain,
( e20 != e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_16_1562,refute_16_2230]) ).
cnf(refute_16_2232,plain,
( e20 != e20
| op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| h1(e13) = e21
| op2(e20,h1(e13)) = e20
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_16_2231,refute_16_2229]) ).
cnf(refute_16_2233,plain,
( h1(e13) != e21
| h1(e13) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[0],$fot(e23)]]) ).
cnf(refute_16_2234,plain,
( h1(e13) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_2233]) ).
cnf(refute_16_2235,plain,
( e20 != e20
| op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| e23 = e21
| op2(e20,h1(e13)) = e20
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_16_2232,refute_16_2234]) ).
cnf(refute_16_2236,plain,
op2(e20,h1(e13)) = op2(e20,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e13)))]]) ).
cnf(refute_16_2237,plain,
( h1(e13) != e23
| op2(e20,h1(e13)) != op2(e20,h1(e13))
| op2(e20,h1(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e13)),op2(e20,h1(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_2238,plain,
( h1(e13) != e23
| op2(e20,h1(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),op2(e20,h1(e13))) )],[refute_16_2236,refute_16_2237]) ).
cnf(refute_16_2239,plain,
op2(e20,h1(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_16_1488,refute_16_2238]) ).
cnf(refute_16_2240,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,h1(e13)) != op2(e20,e23)
| op2(e20,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e13)),e20) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_16_2241,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),op2(e20,e23)) )],[refute_16_2239,refute_16_2240]) ).
cnf(refute_16_2242,plain,
( e20 != e20
| op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| e23 = e21
| op2(e20,e23) = e20
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_16_2235,refute_16_2241]) ).
cnf(refute_16_2243,plain,
op2(e20,op2(e20,e22)) = op2(e20,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e22)))]]) ).
cnf(refute_16_2244,plain,
( op2(e20,e22) != e21
| op2(e20,op2(e20,e22)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_16_2245,plain,
( op2(e20,e22) != e21
| op2(e20,op2(e20,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) )],[refute_16_2243,refute_16_2244]) ).
cnf(refute_16_2246,plain,
op2(e20,op2(e20,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_1687,refute_16_2245]) ).
cnf(refute_16_2247,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e22)) != op2(e20,e21)
| op2(e20,op2(e20,e22)) = e20 ),
inference(subst,[],[refute_16_32:[bind(X,$fot(op2(e20,op2(e20,e22)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_16_2248,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e22)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,e21)) )],[refute_16_2246,refute_16_2247]) ).
cnf(refute_16_2249,plain,
( op2(e20,op2(e20,e22)) != e20
| op2(e20,op2(e20,e22)) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) ),[0],$fot(e20)]]) ).
cnf(refute_16_2250,plain,
( op2(e20,e21) != e20
| op2(e20,op2(e20,e22)) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e20) )],[refute_16_2248,refute_16_2249]) ).
cnf(refute_16_2251,plain,
( e20 != e20
| op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| e20 = e22
| e23 = e21
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_16_2242,refute_16_2250]) ).
cnf(refute_16_2252,plain,
( op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| e20 = e22
| e23 = e21
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_2251]) ).
cnf(refute_16_2253,plain,
( op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| e23 = e21
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_2252,refute_16_178]) ).
cnf(refute_16_2254,plain,
( op2(e20,e21) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_16_2253,refute_16_144]) ).
cnf(refute_16_2255,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_16_313]) ).
cnf(refute_16_2256,plain,
( op2(e20,e23) != e20
| op2(e22,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_16_2257,plain,
( op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_16_2209,refute_16_2256]) ).
cnf(refute_16_2258,plain,
( op2(e20,e23) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_16_2257,refute_16_2255]) ).
cnf(refute_16_2259,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_16_314]) ).
cnf(refute_16_2260,plain,
( h1(e13) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_16_2259,refute_16_122]) ).
cnf(refute_16_2261,plain,
( e23 = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_16_2260,refute_16_1534]) ).
cnf(refute_16_2262,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).
cnf(refute_16_2263,plain,
( op2(e20,e22) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_1687,refute_16_2262]) ).
cnf(refute_16_2264,plain,
( e21 = e20
| e23 = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_16_2261,refute_16_2263]) ).
cnf(refute_16_2265,plain,
( e23 = e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_16_2264,refute_16_162]) ).
cnf(refute_16_2266,plain,
( op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_16_2265,refute_16_1557]) ).
cnf(refute_16_2267,plain,
( e20 != e20
| op2(e20,e23) != e20
| op2(e20,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_16_2268,plain,
( e20 != e20
| op2(e20,e21) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_16_2266,refute_16_2267]) ).
cnf(refute_16_2269,plain,
( e20 != e20
| op2(e20,e21) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_16_2268,refute_16_2258]) ).
cnf(refute_16_2270,plain,
( e20 != e20
| ~ definitionFOFtoCNF_22
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_16_2269,refute_16_2254]) ).
cnf(refute_16_2271,plain,
( ~ definitionFOFtoCNF_22
| op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_2270]) ).
cnf(refute_16_2272,plain,
( op2(e20,e23) = e20
| op2(e20,op2(e20,e23)) = e23
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_16_2216,refute_16_2271]) ).
cnf(refute_16_2273,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_16_315]) ).
cnf(refute_16_2274,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_16_316]) ).
cnf(refute_16_2275,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h4(e13)
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).
cnf(refute_16_2276,plain,
( op2(e23,e23) != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_19,refute_16_2275]) ).
cnf(refute_16_2277,plain,
( h4(e13) = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_16_2274,refute_16_2276]) ).
cnf(refute_16_2278,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_16_2279,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_43,refute_16_2278]) ).
cnf(refute_16_2280,plain,
( e21 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_2277,refute_16_2279]) ).
cnf(refute_16_2281,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h4(e10)
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).
cnf(refute_16_2282,plain,
( op2(e21,e23) != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_16_298,refute_16_2281]) ).
cnf(refute_16_2283,plain,
( e21 = e20
| h4(e10) = e20
| op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_16_2280,refute_16_2282]) ).
cnf(refute_16_2284,plain,
( h4(e10) = e20
| op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_16_2283,refute_16_162]) ).
cnf(refute_16_2285,plain,
h4(e10) != e20,
inference(canonicalize,[],[normalize_16_317]) ).
cnf(refute_16_2286,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_2284,refute_16_2285]) ).
cnf(refute_16_2287,plain,
( op2(e22,e21) != e20
| op2(e22,e23) != e20
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_16_2288,plain,
( op2(e22,e21) != e20
| op2(e20,e23) = e20
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_16_2286,refute_16_2287]) ).
cnf(refute_16_2289,plain,
( op2(e22,e21) != e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_16_2288,refute_16_1709]) ).
cnf(refute_16_2290,plain,
( e20 != e20
| op2(e22,e21) != e20
| op2(e22,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_2291,plain,
( e20 != e20
| op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_16_1725,refute_16_2290]) ).
cnf(refute_16_2292,plain,
( e20 != e20
| op2(e20,e23) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_16_2291,refute_16_2289]) ).
cnf(refute_16_2293,plain,
( op2(e20,e23) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_133,refute_16_2292]) ).
cnf(refute_16_2294,plain,
( op2(e22,e20) != e21
| op2(e22,e21) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_16_2295,plain,
( op2(e22,e20) != e21
| op2(e20,e23) = e20
| op2(e22,e20) = op2(e22,e21)
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_16_2293,refute_16_2294]) ).
cnf(refute_16_2296,plain,
( op2(e22,e20) != e21
| op2(e20,e23) = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_16_2295,refute_16_2273]) ).
cnf(refute_16_2297,plain,
( e21 != e21
| op2(e20,e23) = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_16_1545,refute_16_2296]) ).
cnf(refute_16_2298,plain,
( op2(e20,e23) = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_16_169,refute_16_2297]) ).
cnf(refute_16_2299,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = e20
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_16_2298,refute_16_2010]) ).
cnf(refute_16_2300,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_16_2299,refute_16_1709]) ).
cnf(refute_16_2301,plain,
( e22 != e22
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_16_2022,refute_16_2300]) ).
cnf(refute_16_2302,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_16_243,refute_16_2301]) ).
cnf(refute_16_2303,plain,
( op2(e20,e23) != e22
| op2(e20,op2(e20,e23)) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_16_2304,plain,
( op2(e20,op2(e20,e23)) != e23
| op2(e20,e22) = e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_16_2302,refute_16_2303]) ).
cnf(refute_16_2305,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e20
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),e23) )],[refute_16_2272,refute_16_2304]) ).
cnf(refute_16_2306,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e21)]]) ).
cnf(refute_16_2307,plain,
( op2(e20,e22) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_16_1687,refute_16_2306]) ).
cnf(refute_16_2308,plain,
( e21 = e23
| op2(e20,e23) = e20
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_16_2305,refute_16_2307]) ).
cnf(refute_16_2309,plain,
( op2(e20,e23) = e20
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_16_2308,refute_16_99]) ).
cnf(refute_16_2310,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_16_2311,plain,
( op2(e20,e23) != e22
| e20 = e22
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_16_2309,refute_16_2310]) ).
cnf(refute_16_2312,plain,
( e20 = e22
| definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_16_2215,refute_16_2311]) ).
cnf(refute_16_2313,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_2312,refute_16_178]) ).
cnf(refute_16_2314,plain,
( definitionFOFtoCNF_15
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_16_2313,refute_16_580]) ).
cnf(refute_16_2315,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_16_2314,refute_16_2201]) ).
cnf(refute_16_2316,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_16_2315,refute_16_2194]) ).
fof(negate_17_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_17_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_3,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_17_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_5,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_17_6,plain,
h3(e12) = 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(e13) != e21,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_17_10,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_17_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_17_11]) ).
fof(normalize_17_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_17_9]) ).
cnf(refute_17_0,plain,
h4(e13) != e21,
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_1,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_17_12]) ).
cnf(refute_17_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_9,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_17_10,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_17_8,refute_17_9]) ).
cnf(refute_17_11,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_17_12,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_13,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_11,refute_17_12]) ).
cnf(refute_17_14,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_10,refute_17_13]) ).
cnf(refute_17_15,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_17_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_15,refute_17_16]) ).
cnf(refute_17_18,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_10,refute_17_17]) ).
cnf(refute_17_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_5,refute_17_19]) ).
cnf(refute_17_21,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_17_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_22,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_18,refute_17_21]) ).
cnf(refute_17_23,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_17_14,refute_17_22]) ).
cnf(refute_17_24,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_17_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_17_25,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_17_23,refute_17_24]) ).
cnf(refute_17_26,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_7,refute_17_25]) ).
cnf(refute_17_27,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_17_28,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_17_26,refute_17_27]) ).
cnf(refute_17_29,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_1,refute_17_28]) ).
cnf(refute_17_30,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_17_31,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_17_29,refute_17_30]) ).
cnf(refute_17_32,plain,
( e21 != e21
| h4(e13) != e21
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_33,plain,
( e21 != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_17_31,refute_17_32]) ).
cnf(refute_17_34,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_17_33,refute_17_0]) ).
cnf(refute_17_35,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_36,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_35,refute_17_34]) ).
fof(negate_18_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_18_1,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_2,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_18_3,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_4,plain,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_18_5,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_6,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_18_7,plain,
e21 != e23,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_8,plain,
e20 = op2(op2(e22,e22),e22),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_9,plain,
e20 != e21,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_10,plain,
( ~ definitionFOFtoCNF_15
<=> ( ( op2(e20,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e21,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e22,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_11]) ).
fof(normalize_18_11,plain,
( ~ definitionFOFtoCNF_16
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(canonicalize,[],[definition_12]) ).
fof(normalize_18_12,plain,
( ~ definitionFOFtoCNF_17
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(canonicalize,[],[definition_13]) ).
fof(normalize_18_13,plain,
( ~ definitionFOFtoCNF_18
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 ) ),
inference(canonicalize,[],[definition_14]) ).
fof(normalize_18_14,plain,
( ~ definitionFOFtoCNF_17
<=> ( ~ definitionFOFtoCNF_18
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 ) ) ),
inference(simplify,[],[normalize_18_12,normalize_18_13]) ).
fof(normalize_18_15,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_18_11,normalize_18_14,normalize_18_13]) ).
fof(normalize_18_16,plain,
( ~ definitionFOFtoCNF_19
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 ) ),
inference(canonicalize,[],[definition_15]) ).
fof(normalize_18_17,plain,
( ~ definitionFOFtoCNF_16
<=> ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 ) ) ),
inference(simplify,[],[normalize_18_15,normalize_18_16]) ).
fof(normalize_18_18,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_10,normalize_18_17,normalize_18_14,normalize_18_13,normalize_18_16]) ).
fof(normalize_18_19,plain,
( ~ definitionFOFtoCNF_20
<=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(canonicalize,[],[definition_17]) ).
fof(normalize_18_20,plain,
( ~ definitionFOFtoCNF_21
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 ) ),
inference(canonicalize,[],[definition_18]) ).
fof(normalize_18_21,plain,
( ~ definitionFOFtoCNF_20
<=> ( ~ definitionFOFtoCNF_21
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 ) ) ),
inference(simplify,[],[normalize_18_19,normalize_18_20]) ).
fof(normalize_18_22,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_18,normalize_18_21,normalize_18_20]) ).
fof(normalize_18_23,plain,
( ~ definitionFOFtoCNF_22
<=> ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 ) ),
inference(canonicalize,[],[definition_19]) ).
fof(normalize_18_24,plain,
( ~ definitionFOFtoCNF_15
<=> ( definitionFOFtoCNF_16
& definitionFOFtoCNF_20
& definitionFOFtoCNF_22
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_22,normalize_18_23]) ).
fof(normalize_18_25,plain,
( ( definitionFOFtoCNF_15
| definitionFOFtoCNF_16 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_20 )
& ( definitionFOFtoCNF_15
| definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 )
& ( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 )
& ( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_18_24]) ).
fof(normalize_18_26,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_18_25]) ).
fof(normalize_18_27,plain,
( ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_16
| definitionFOFtoCNF_19 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| definitionFOFtoCNF_16 )
& ( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 )
& ( op2(e23,e23) != e23
| ~ definitionFOFtoCNF_16
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_17]) ).
fof(normalize_18_28,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(conjunct,[],[normalize_18_27]) ).
fof(normalize_18_29,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_18_30,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_18_29]) ).
fof(normalize_18_31,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_19 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) = e22
| definitionFOFtoCNF_19 )
& ( op2(e22,e22) != e22
| ~ definitionFOFtoCNF_19
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_16]) ).
fof(normalize_18_32,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(conjunct,[],[normalize_18_31]) ).
fof(normalize_18_33,plain,
e22 != e23,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_34,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_35,plain,
( ( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_18 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 )
& ( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 )
& ( op2(e21,e21) != e21
| ~ definitionFOFtoCNF_17
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_14]) ).
fof(normalize_18_36,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_18_35]) ).
fof(normalize_18_37,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_18_38,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_18_37]) ).
fof(normalize_18_39,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_40,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_18_41,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_18_40]) ).
fof(normalize_18_42,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_18_37]) ).
fof(normalize_18_43,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_18_44,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_18_43]) ).
fof(normalize_18_45,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_39,normalize_18_41,normalize_18_42,normalize_18_44]) ).
fof(normalize_18_46,plain,
h4(op1(e13,e11)) = op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_47,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_18_29]) ).
fof(normalize_18_48,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_18 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) = e20
| definitionFOFtoCNF_18 )
& ( op2(e20,e20) != e20
| ~ definitionFOFtoCNF_18
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_13]) ).
fof(normalize_18_49,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_18_48]) ).
fof(normalize_18_50,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_18_40]) ).
fof(normalize_18_51,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(conjunct,[],[normalize_18_48]) ).
fof(normalize_18_52,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_18_37]) ).
fof(normalize_18_53,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_18_35]) ).
fof(normalize_18_54,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_18_37]) ).
fof(normalize_18_55,plain,
( ( ~ definitionFOFtoCNF_20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e20)) != e20
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e21)) != e21
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e22)) != e22
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( op2(e20,op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_21
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e20,e23) = e20
| definitionFOFtoCNF_20 )
& ( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 )
& ( op2(e20,e23) != e20
| op2(e23,e20) != e20
| ~ definitionFOFtoCNF_20
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_21]) ).
fof(normalize_18_56,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(conjunct,[],[normalize_18_55]) ).
fof(normalize_18_57,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_21 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) = e20
| definitionFOFtoCNF_21 )
& ( op2(e22,e20) = e20
| definitionFOFtoCNF_21 )
& ( op2(e20,e22) != e20
| op2(e22,e20) != e20
| ~ definitionFOFtoCNF_21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_20]) ).
fof(normalize_18_58,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(conjunct,[],[normalize_18_57]) ).
fof(normalize_18_59,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_60,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_61,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_62,plain,
( ( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e21)) != e21
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e22)) != e22
| definitionFOFtoCNF_22 )
& ( op2(e20,op2(e20,e23)) != e23
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) = e20
| definitionFOFtoCNF_22 )
& ( op2(e21,e20) = e20
| definitionFOFtoCNF_22 )
& ( op2(e20,e21) != e20
| op2(e21,e20) != e20
| ~ definitionFOFtoCNF_22
| op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_23]) ).
fof(normalize_18_63,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_18_62]) ).
fof(normalize_18_64,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_65,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_18_29]) ).
fof(normalize_18_66,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(conjunct,[],[normalize_18_62]) ).
fof(normalize_18_67,plain,
( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 ),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_68,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_18_29]) ).
fof(normalize_18_69,plain,
e20 != e23,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_70,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_18_71,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_72,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_73,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_18_74,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_18_73]) ).
fof(normalize_18_75,plain,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_18_76,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_18_75]) ).
fof(normalize_18_77,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_18_78,plain,
e11 != e13,
inference(conjunct,[],[normalize_18_77]) ).
fof(normalize_18_79,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_80,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_18_75]) ).
fof(normalize_18_81,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_18_40]) ).
fof(normalize_18_82,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_20]) ).
fof(normalize_18_83,plain,
( ~ definitionFOFtoCNF_24
<=> ( ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ) ),
inference(canonicalize,[],[definition_21]) ).
fof(normalize_18_84,plain,
( ~ definitionFOFtoCNF_25
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 ) ),
inference(canonicalize,[],[definition_22]) ).
fof(normalize_18_85,plain,
( ~ definitionFOFtoCNF_24
<=> ( ~ definitionFOFtoCNF_25
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 ) ) ),
inference(simplify,[],[normalize_18_83,normalize_18_84]) ).
fof(normalize_18_86,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_82,normalize_18_85,normalize_18_84]) ).
fof(normalize_18_87,plain,
( ~ definitionFOFtoCNF_26
<=> ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 ) ),
inference(canonicalize,[],[definition_23]) ).
fof(normalize_18_88,plain,
( ~ definitionFOFtoCNF_23
<=> ( ~ definitionFOFtoCNF_15
& definitionFOFtoCNF_24
& definitionFOFtoCNF_26
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_86,normalize_18_87]) ).
fof(normalize_18_89,plain,
( ( ~ definitionFOFtoCNF_15
| definitionFOFtoCNF_23 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_24 )
& ( definitionFOFtoCNF_23
| definitionFOFtoCNF_26 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 )
& ( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 )
& ( op2(e21,e22) != e21
| op2(e22,e21) != e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23
| definitionFOFtoCNF_23 ) ),
inference(clausify,[],[normalize_18_88]) ).
fof(normalize_18_90,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_18_89]) ).
fof(normalize_18_91,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_92,plain,
( ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_18_93,plain,
( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23
& op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_18_92]) ).
fof(normalize_18_94,plain,
( definitionFOFtoCNF_15
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23
& op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_18_93,normalize_18_24,normalize_18_21,normalize_18_17,normalize_18_14,normalize_18_13,normalize_18_16,normalize_18_23,normalize_18_20]) ).
fof(normalize_18_95,plain,
( definitionFOFtoCNF_23
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ),
inference(simplify,[],[normalize_18_94,normalize_18_88,normalize_18_85,normalize_18_87,normalize_18_84]) ).
fof(normalize_18_96,plain,
( ~ definitionFOFtoCNF_27
<=> ( ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(canonicalize,[],[definition_24]) ).
fof(normalize_18_97,plain,
( ~ definitionFOFtoCNF_28
<=> ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ),
inference(canonicalize,[],[definition_25]) ).
fof(normalize_18_98,plain,
( ~ definitionFOFtoCNF_27
<=> ( definitionFOFtoCNF_28
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ) ),
inference(simplify,[],[normalize_18_96,normalize_18_97]) ).
fof(normalize_18_99,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23
& op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_18_95,normalize_18_98,normalize_18_97]) ).
fof(normalize_18_100,plain,
( ~ definitionFOFtoCNF_29
<=> ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(canonicalize,[],[definition_26]) ).
fof(normalize_18_101,plain,
( definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ),
inference(simplify,[],[normalize_18_99,normalize_18_100]) ).
fof(normalize_18_102,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 )
& ( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_18_101]) ).
fof(normalize_18_103,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_18_102]) ).
fof(normalize_18_104,plain,
( ( definitionFOFtoCNF_27
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e20)) != e20
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 )
& ( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e23
| op2(e23,e22) != e23
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23
| definitionFOFtoCNF_27 ) ),
inference(clausify,[],[normalize_18_98]) ).
fof(normalize_18_105,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_18_104]) ).
fof(normalize_18_106,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_107,plain,
( ( op2(e23,op2(e23,e20)) != e20
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e21)) != e21
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e22)) != e22
| definitionFOFtoCNF_28 )
& ( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) = e23
| definitionFOFtoCNF_28 )
& ( op2(e23,e21) = e23
| definitionFOFtoCNF_28 )
& ( op2(e21,e23) != e23
| op2(e23,e21) != e23
| ~ definitionFOFtoCNF_28
| op2(e23,op2(e23,e20)) = e20
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_97]) ).
fof(normalize_18_108,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_18_107]) ).
fof(normalize_18_109,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(conjunct,[],[normalize_18_107]) ).
fof(normalize_18_110,plain,
( ( op2(e22,op2(e22,e20)) != e20
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e21)) != e21
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e22)) != e22
| ~ definitionFOFtoCNF_29 )
& ( op2(e22,op2(e22,e23)) != e23
| ~ definitionFOFtoCNF_29 )
& ( ~ definitionFOFtoCNF_29
| op2(e22,e23) = e22 )
& ( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 )
& ( op2(e22,e23) != e22
| op2(e23,e22) != e22
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23
| definitionFOFtoCNF_29 ) ),
inference(clausify,[],[normalize_18_100]) ).
fof(normalize_18_111,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_18_110]) ).
fof(normalize_18_112,plain,
e20 != e22,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_113,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_114,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_115,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_116,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(conjunct,[],[normalize_18_102]) ).
fof(normalize_18_117,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_118,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_18_73]) ).
fof(normalize_18_119,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_120,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_121,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_18_122,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_18_121]) ).
fof(normalize_18_123,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_124,plain,
e10 = op1(op1(e12,e12),e12),
inference(conjunct,[],[normalize_18_75]) ).
fof(normalize_18_125,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_126,plain,
( ( ~ definitionFOFtoCNF_24
| definitionFOFtoCNF_25 )
& ( op2(e21,op2(e21,e20)) != e20
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e22)) != e22
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( op2(e21,op2(e21,e23)) != e23
| ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 )
& ( ~ definitionFOFtoCNF_25
| op2(e23,e21) = e21
| definitionFOFtoCNF_24 )
& ( op2(e21,e23) != e21
| op2(e23,e21) != e21
| ~ definitionFOFtoCNF_24
| op2(e21,op2(e21,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_85]) ).
fof(normalize_18_127,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(conjunct,[],[normalize_18_126]) ).
fof(normalize_18_128,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_129,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_25 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) = e22
| definitionFOFtoCNF_25 )
& ( op2(e22,e21) = e22
| definitionFOFtoCNF_25 )
& ( op2(e21,e22) != e22
| op2(e22,e21) != e22
| ~ definitionFOFtoCNF_25
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_84]) ).
fof(normalize_18_130,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_18_129]) ).
fof(normalize_18_131,plain,
h4(e13) != e22,
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_132,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_133,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(conjunct,[],[normalize_18_129]) ).
fof(normalize_18_134,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_18_135,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_18_134]) ).
fof(normalize_18_136,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_137,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_138,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_139,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_18_73]) ).
fof(normalize_18_140,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_141,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_142,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_143,plain,
h4(e10) != e22,
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_144,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_145,plain,
( ( op2(e22,op2(e22,e20)) != e20
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e22)) != e22
| definitionFOFtoCNF_26 )
& ( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) = e22
| definitionFOFtoCNF_26 )
& ( op2(e22,e20) = e22
| definitionFOFtoCNF_26 )
& ( op2(e20,e22) != e22
| op2(e22,e20) != e22
| ~ definitionFOFtoCNF_26
| op2(e22,op2(e22,e20)) = e20
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e23)) = e23 ) ),
inference(clausify,[],[normalize_18_87]) ).
fof(normalize_18_146,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_18_145]) ).
fof(normalize_18_147,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(conjunct,[],[normalize_18_145]) ).
fof(normalize_18_148,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_149,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_150,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_18_89]) ).
fof(normalize_18_151,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_152,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_153,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_18_89]) ).
fof(normalize_18_154,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_155,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_18_121]) ).
fof(normalize_18_156,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_157,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_158,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_159,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_160,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_18_121]) ).
fof(normalize_18_161,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_162,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_163,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_164,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_165,plain,
h4(e11) != e22,
inference(conjunct,[],[normalize_18_45]) ).
fof(normalize_18_166,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_167,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_18_121]) ).
fof(normalize_18_168,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_18_70]) ).
fof(normalize_18_169,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 ),
inference(conjunct,[],[normalize_18_25]) ).
cnf(refute_18_0,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_18_1]) ).
cnf(refute_18_1,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_18_3]) ).
cnf(refute_18_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_18_5]) ).
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( $equal(X,X) )],[refute_18_3,refute_18_4]) ).
cnf(refute_18_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_18_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_18_2,refute_18_6]) ).
cnf(refute_18_8,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_18_9,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_8]) ).
cnf(refute_18_10,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_18_1,refute_18_9]) ).
cnf(refute_18_11,plain,
e21 != e23,
inference(canonicalize,[],[normalize_18_7]) ).
cnf(refute_18_12,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_18_13,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_12,refute_18_11]) ).
cnf(refute_18_14,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_18_10,refute_18_13]) ).
cnf(refute_18_15,plain,
e20 = op2(op2(e22,e22),e22),
inference(canonicalize,[],[normalize_18_8]) ).
cnf(refute_18_16,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_18_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_18,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_18_16,refute_18_17]) ).
cnf(refute_18_19,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_18]) ).
cnf(refute_18_20,plain,
( e20 != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_18_21,plain,
( e20 != op2(op2(e22,e22),e22)
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_18_19,refute_18_20]) ).
cnf(refute_18_22,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_18_15,refute_18_21]) ).
cnf(refute_18_23,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_18_24,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_18_22,refute_18_23]) ).
cnf(refute_18_25,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_18_26,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_18_24,refute_18_25]) ).
cnf(refute_18_27,plain,
( e20 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_14,refute_18_26]) ).
cnf(refute_18_28,plain,
e20 != e21,
inference(canonicalize,[],[normalize_18_9]) ).
cnf(refute_18_29,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_18_27,refute_18_28]) ).
cnf(refute_18_30,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_18_31,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_18_29,refute_18_30]) ).
cnf(refute_18_32,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_18_31,refute_18_0]) ).
cnf(refute_18_33,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_18_26]) ).
cnf(refute_18_34,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| op2(e23,e23) = e23
| definitionFOFtoCNF_16 ),
inference(canonicalize,[],[normalize_18_28]) ).
cnf(refute_18_35,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_18_30]) ).
cnf(refute_18_36,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_37,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_18_35,refute_18_36]) ).
cnf(refute_18_38,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_18_39,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_38]) ).
cnf(refute_18_40,plain,
( ~ definitionFOFtoCNF_17
| ~ definitionFOFtoCNF_19
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_18_34,refute_18_39]) ).
cnf(refute_18_41,plain,
( op2(e22,e22) = e22
| definitionFOFtoCNF_19 ),
inference(canonicalize,[],[normalize_18_32]) ).
cnf(refute_18_42,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_18_43,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_42]) ).
cnf(refute_18_44,plain,
( e23 = e22
| definitionFOFtoCNF_19 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_18_41,refute_18_43]) ).
cnf(refute_18_45,plain,
e22 != e23,
inference(canonicalize,[],[normalize_18_33]) ).
cnf(refute_18_46,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_18_47,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_18_46,refute_18_45]) ).
cnf(refute_18_48,plain,
definitionFOFtoCNF_19,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_18_44,refute_18_47]) ).
cnf(refute_18_49,plain,
( ~ definitionFOFtoCNF_17
| h4(e13) = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( definitionFOFtoCNF_19 )],[refute_18_48,refute_18_40]) ).
cnf(refute_18_50,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_18_34]) ).
cnf(refute_18_51,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_18_52,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_53,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_51,refute_18_52]) ).
cnf(refute_18_54,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_53]) ).
cnf(refute_18_55,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_18_56,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_57,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_55,refute_18_56]) ).
cnf(refute_18_58,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_57]) ).
cnf(refute_18_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_18_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_5,refute_18_59]) ).
cnf(refute_18_61,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_62,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_58,refute_18_61]) ).
cnf(refute_18_63,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_18_54,refute_18_62]) ).
cnf(refute_18_64,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_18_65,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_18_63,refute_18_64]) ).
cnf(refute_18_66,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_65]) ).
cnf(refute_18_67,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_18_68,plain,
( e21 != op2(op2(e22,e22),op2(e22,e22))
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_18_66,refute_18_67]) ).
cnf(refute_18_69,plain,
e21 = h4(e13),
inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_50,refute_18_68]) ).
cnf(refute_18_70,plain,
( e21 != h4(e13)
| h4(e13) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_18_71,plain,
h4(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_18_69,refute_18_70]) ).
cnf(refute_18_72,plain,
( h4(e13) != e21
| h4(e13) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).
cnf(refute_18_73,plain,
( h4(e13) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_72]) ).
cnf(refute_18_74,plain,
( ~ definitionFOFtoCNF_17
| e21 = e23
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_18_49,refute_18_73]) ).
cnf(refute_18_75,plain,
( ~ definitionFOFtoCNF_17
| definitionFOFtoCNF_16 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_74,refute_18_11]) ).
cnf(refute_18_76,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_18_36]) ).
cnf(refute_18_77,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_18_38]) ).
cnf(refute_18_78,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_18_79,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_18_77,refute_18_78]) ).
cnf(refute_18_80,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_18_81,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_18_82,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_18_80,refute_18_81]) ).
cnf(refute_18_83,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_82]) ).
cnf(refute_18_84,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) != op2(e21,h2(e13))
| op2(e21,op2(e21,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_18_85,plain,
( op2(e21,h2(e13)) != e21
| op2(e21,op2(e21,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e13))) )],[refute_18_83,refute_18_84]) ).
cnf(refute_18_86,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_18_85,refute_18_76]) ).
cnf(refute_18_87,plain,
h4(op1(e13,e11)) = op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_18_46]) ).
cnf(refute_18_88,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_18_47]) ).
cnf(refute_18_89,plain,
( h4(e13) != e21
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).
cnf(refute_18_90,plain,
( h4(e13) != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_89]) ).
cnf(refute_18_91,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_90]) ).
cnf(refute_18_92,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_18_93,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_94,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_18_92,refute_18_93]) ).
cnf(refute_18_95,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_91,refute_18_94]) ).
cnf(refute_18_96,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_18_97,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_98,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_96,refute_18_97]) ).
cnf(refute_18_99,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_91,refute_18_98]) ).
cnf(refute_18_100,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_18_101,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_18_99,refute_18_100]) ).
cnf(refute_18_102,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_18_95,refute_18_101]) ).
cnf(refute_18_103,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_18_104,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_18_102,refute_18_103]) ).
cnf(refute_18_105,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_104]) ).
cnf(refute_18_106,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_18_107,plain,
( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_18_105,refute_18_106]) ).
cnf(refute_18_108,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_88,refute_18_107]) ).
cnf(refute_18_109,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_18_110,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_18_111,plain,
( h4(e11) != h2(e13)
| op2(e21,h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_18_109,refute_18_110]) ).
cnf(refute_18_112,plain,
op2(e21,h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_111]) ).
cnf(refute_18_113,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_18_114,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_115,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_18_113,refute_18_114]) ).
cnf(refute_18_116,plain,
op2(h4(e13),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_115]) ).
cnf(refute_18_117,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_18_118,plain,
( op2(e21,h4(e11)) != op2(e21,h2(e13))
| op2(h4(e13),h4(e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h4(e11))) )],[refute_18_116,refute_18_117]) ).
cnf(refute_18_119,plain,
op2(h4(e13),h4(e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h2(e13))) )],[refute_18_112,refute_18_118]) ).
cnf(refute_18_120,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[0],$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_18_121,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e21,h2(e13))) )],[refute_18_119,refute_18_120]) ).
cnf(refute_18_122,plain,
h4(op1(e13,e11)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_18_87,refute_18_121]) ).
cnf(refute_18_123,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| op2(e21,h2(e13)) = h4(op1(e13,e11)) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_18_124,plain,
op2(e21,h2(e13)) = h4(op1(e13,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_18_122,refute_18_123]) ).
cnf(refute_18_125,plain,
( h4(op1(e13,e11)) != e21
| op2(e21,h2(e13)) != h4(op1(e13,e11))
| op2(e21,h2(e13)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) ),[1],$fot(e21)]]) ).
cnf(refute_18_126,plain,
( h4(op1(e13,e11)) != e21
| op2(e21,h2(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) )],[refute_18_124,refute_18_125]) ).
cnf(refute_18_127,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_18
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_18_126,refute_18_86]) ).
cnf(refute_18_128,plain,
( op2(e20,op2(e20,e20)) != e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_18_49]) ).
cnf(refute_18_129,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_18_50]) ).
cnf(refute_18_130,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_18_131,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_129,refute_18_130]) ).
cnf(refute_18_132,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_18_133,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_18_134,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_18_132,refute_18_133]) ).
cnf(refute_18_135,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_131,refute_18_134]) ).
cnf(refute_18_136,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| op2(e20,op2(e20,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_18_137,plain,
( op2(e20,h1(e13)) != e20
| op2(e20,op2(e20,e20)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_18_135,refute_18_136]) ).
cnf(refute_18_138,plain,
( op2(e20,h1(e13)) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),e20) )],[refute_18_137,refute_18_128]) ).
cnf(refute_18_139,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_18 ),
inference(canonicalize,[],[normalize_18_51]) ).
cnf(refute_18_140,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_141,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_131,refute_18_140]) ).
cnf(refute_18_142,plain,
( h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_18_139,refute_18_141]) ).
cnf(refute_18_143,plain,
( h1(e13) != e20
| op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e13)),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_18_144,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e13)) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_18_142,refute_18_143]) ).
cnf(refute_18_145,plain,
( op2(e20,e20) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),e20) )],[refute_18_144,refute_18_138]) ).
cnf(refute_18_146,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_18_147,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_131,refute_18_146]) ).
cnf(refute_18_148,plain,
( h1(e13) != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_18_147,refute_18_145]) ).
cnf(refute_18_149,plain,
( e20 != e20
| h1(e13) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_18_150,plain,
( e20 != e20
| h1(e13) = e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_18_142,refute_18_149]) ).
cnf(refute_18_151,plain,
( e20 != e20
| definitionFOFtoCNF_18 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_18_150,refute_18_148]) ).
cnf(refute_18_152,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_18_153,plain,
definitionFOFtoCNF_18,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_18_152,refute_18_151]) ).
cnf(refute_18_154,plain,
( h4(op1(e13,e11)) != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_18_153,refute_18_127]) ).
cnf(refute_18_155,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_18_52]) ).
cnf(refute_18_156,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_18_157,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_18_158,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_18_156,refute_18_157]) ).
cnf(refute_18_159,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_158]) ).
cnf(refute_18_160,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_18_161,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_162,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_18_160,refute_18_161]) ).
cnf(refute_18_163,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_162]) ).
cnf(refute_18_164,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_18_165,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_18_163,refute_18_164]) ).
cnf(refute_18_166,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_18_159,refute_18_165]) ).
cnf(refute_18_167,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_18_168,plain,
( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_18_166,refute_18_167]) ).
cnf(refute_18_169,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_18_155,refute_18_168]) ).
cnf(refute_18_170,plain,
( ~ definitionFOFtoCNF_18
| op2(e21,e21) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_18_53]) ).
cnf(refute_18_171,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_172,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_171]) ).
cnf(refute_18_173,plain,
( ~ definitionFOFtoCNF_18
| h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_18_170,refute_18_172]) ).
cnf(refute_18_174,plain,
( h2(e13) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_18 )],[refute_18_153,refute_18_173]) ).
cnf(refute_18_175,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_176,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_18_174,refute_18_175]) ).
cnf(refute_18_177,plain,
( h2(e11) = op2(e21,h2(e13))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_18_169,refute_18_176]) ).
cnf(refute_18_178,plain,
( h2(e11) != op2(e21,h2(e13))
| op2(e21,h2(e13)) != h4(op1(e13,e11))
| h2(e11) = h4(op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h4(op1(e13,e11))) ),[0],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_18_179,plain,
( h2(e11) != op2(e21,h2(e13))
| h2(e11) = h4(op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) )],[refute_18_124,refute_18_178]) ).
cnf(refute_18_180,plain,
( h2(e11) = h4(op1(e13,e11))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_18_177,refute_18_179]) ).
cnf(refute_18_181,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e11) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_182,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_18_174,refute_18_181]) ).
cnf(refute_18_183,plain,
( h2(e11) = op2(h2(e13),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_18_169,refute_18_182]) ).
cnf(refute_18_184,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_18_54]) ).
cnf(refute_18_185,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_18_186,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_187,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_18_185,refute_18_186]) ).
cnf(refute_18_188,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_187]) ).
cnf(refute_18_189,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_18_190,plain,
( h2(e10) != op2(op2(e21,e21),e21)
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_18_188,refute_18_189]) ).
cnf(refute_18_191,plain,
h2(e10) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_18_184,refute_18_190]) ).
cnf(refute_18_192,plain,
( h2(e10) != op2(h2(e13),e21)
| op2(h2(e13),e21) = h2(e10) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_18_193,plain,
op2(h2(e13),e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_18_191,refute_18_192]) ).
cnf(refute_18_194,plain,
( h2(e11) != op2(h2(e13),e21)
| op2(h2(e13),e21) != h2(e10)
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h2(e10)) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_18_195,plain,
( h2(e11) != op2(h2(e13),e21)
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_18_193,refute_18_194]) ).
cnf(refute_18_196,plain,
( h2(e11) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),e21)) )],[refute_18_183,refute_18_195]) ).
cnf(refute_18_197,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_198,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_18_174,refute_18_197]) ).
cnf(refute_18_199,plain,
( h2(e10) = op2(e21,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_18_191,refute_18_198]) ).
cnf(refute_18_200,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_18_201,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_200]) ).
cnf(refute_18_202,plain,
( h2(e10) = h2(e13)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_18_199,refute_18_201]) ).
cnf(refute_18_203,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_18_204,plain,
( h2(e13) = h2(e10)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_18_202,refute_18_203]) ).
cnf(refute_18_205,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_18_206,plain,
( h2(e13) != e21
| h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_18_204,refute_18_205]) ).
cnf(refute_18_207,plain,
( h2(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_18_174,refute_18_206]) ).
cnf(refute_18_208,plain,
( h2(e10) != e21
| h2(e11) != h2(e10)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_18_209,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_18_207,refute_18_208]) ).
cnf(refute_18_210,plain,
( h2(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_18_196,refute_18_209]) ).
cnf(refute_18_211,plain,
( h2(e11) != e21
| h2(e11) != h4(op1(e13,e11))
| e21 = h4(op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h4(op1(e13,e11))) ),[0],$fot(e21)]]) ).
cnf(refute_18_212,plain,
( h2(e11) != h4(op1(e13,e11))
| e21 = h4(op1(e13,e11))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_18_210,refute_18_211]) ).
cnf(refute_18_213,plain,
( e21 = h4(op1(e13,e11))
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h2(e11),h4(op1(e13,e11))) )],[refute_18_180,refute_18_212]) ).
cnf(refute_18_214,plain,
( e21 != h4(op1(e13,e11))
| h4(op1(e13,e11)) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(op1(e13,e11))))]]) ).
cnf(refute_18_215,plain,
( h4(op1(e13,e11)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e11))) )],[refute_18_213,refute_18_214]) ).
cnf(refute_18_216,plain,
( e21 != e21
| h4(op1(e13,e11)) != e21
| h4(op1(e13,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_18_217,plain,
( e21 != e21
| h4(op1(e13,e11)) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_18_215,refute_18_216]) ).
cnf(refute_18_218,plain,
( e21 != e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_18_217,refute_18_154]) ).
cnf(refute_18_219,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_18_220,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_218]) ).
cnf(refute_18_221,plain,
definitionFOFtoCNF_16,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_18_220,refute_18_75]) ).
cnf(refute_18_222,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_18_221,refute_18_33]) ).
cnf(refute_18_223,plain,
( ~ definitionFOFtoCNF_21
| op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(canonicalize,[],[normalize_18_56]) ).
cnf(refute_18_224,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_21 ),
inference(canonicalize,[],[normalize_18_58]) ).
cnf(refute_18_225,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_18_59]) ).
cnf(refute_18_226,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_18_227,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_18_24,refute_18_226]) ).
cnf(refute_18_228,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_18_227,refute_18_225]) ).
cnf(refute_18_229,plain,
definitionFOFtoCNF_21,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_18_224,refute_18_228]) ).
cnf(refute_18_230,plain,
( op2(e23,e20) = e20
| definitionFOFtoCNF_20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_21 )],[refute_18_229,refute_18_223]) ).
cnf(refute_18_231,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_18_60]) ).
cnf(refute_18_232,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_18_233,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_18_24,refute_18_232]) ).
cnf(refute_18_234,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_18_233,refute_18_231]) ).
cnf(refute_18_235,plain,
definitionFOFtoCNF_20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_18_230,refute_18_234]) ).
cnf(refute_18_236,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_18_235,refute_18_222]) ).
cnf(refute_18_237,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_18_61]) ).
cnf(refute_18_238,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_18_239,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_238]) ).
cnf(refute_18_240,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_18_239,refute_18_237]) ).
cnf(refute_18_241,plain,
( op2(e20,e21) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_18_63]) ).
cnf(refute_18_242,plain,
( e20 != h2(e13)
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_18_243,plain,
( e20 != h2(e13)
| op2(e20,e21) = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_18_241,refute_18_242]) ).
cnf(refute_18_244,plain,
( e20 != h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_18_243,refute_18_240]) ).
cnf(refute_18_245,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_18_64]) ).
cnf(refute_18_246,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_18_65]) ).
cnf(refute_18_247,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_18_248,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_249,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_18_247,refute_18_248]) ).
cnf(refute_18_250,plain,
op2(op2(e23,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_91,refute_18_249]) ).
cnf(refute_18_251,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_18_252,plain,
( h4(e10) != op2(op2(e23,e23),e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_18_250,refute_18_251]) ).
cnf(refute_18_253,plain,
h4(e10) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_18_246,refute_18_252]) ).
cnf(refute_18_254,plain,
( h4(e10) != op2(e21,e23)
| op2(e21,e23) = h4(e10) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_18_255,plain,
op2(e21,e23) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_18_253,refute_18_254]) ).
cnf(refute_18_256,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_18_257,plain,
( op2(e21,e20) != h4(e10)
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_256]) ).
cnf(refute_18_258,plain,
op2(e21,e20) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_18_257,refute_18_245]) ).
cnf(refute_18_259,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_22 ),
inference(canonicalize,[],[normalize_18_66]) ).
cnf(refute_18_260,plain,
( e20 != h4(e10)
| op2(e21,e20) != e20
| op2(e21,e20) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[1],$fot(h4(e10))]]) ).
cnf(refute_18_261,plain,
( e20 != h4(e10)
| op2(e21,e20) = h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_18_259,refute_18_260]) ).
cnf(refute_18_262,plain,
( e20 != h4(e10)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_18_261,refute_18_258]) ).
cnf(refute_18_263,plain,
( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 ),
inference(canonicalize,[],[normalize_18_67]) ).
cnf(refute_18_264,plain,
( h4(e11) != e20
| h4(e11) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_265,plain,
( h4(e11) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_264]) ).
cnf(refute_18_266,plain,
( h2(e13) = e20
| h4(e10) = e20
| h4(e12) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_18_263,refute_18_265]) ).
cnf(refute_18_267,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_18_68]) ).
cnf(refute_18_268,plain,
( h4(e12) != e20
| h4(e12) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e20) ),[0],$fot(e23)]]) ).
cnf(refute_18_269,plain,
( h4(e12) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_267,refute_18_268]) ).
cnf(refute_18_270,plain,
( e23 = e20
| h2(e13) = e20
| h4(e10) = e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_18_266,refute_18_269]) ).
cnf(refute_18_271,plain,
( h4(e13) != e20
| h4(e13) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).
cnf(refute_18_272,plain,
( h4(e13) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_271]) ).
cnf(refute_18_273,plain,
( e21 = e20
| e23 = e20
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_270,refute_18_272]) ).
cnf(refute_18_274,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_18_275,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_18_274,refute_18_28]) ).
cnf(refute_18_276,plain,
( e23 = e20
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_18_273,refute_18_275]) ).
cnf(refute_18_277,plain,
e20 != e23,
inference(canonicalize,[],[normalize_18_69]) ).
cnf(refute_18_278,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_18_279,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_18_278,refute_18_277]) ).
cnf(refute_18_280,plain,
( h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_18_276,refute_18_279]) ).
cnf(refute_18_281,plain,
( e20 != e20
| h4(e10) != e20
| e20 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_18_282,plain,
( e20 != e20
| e20 = h4(e10)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_18_280,refute_18_281]) ).
cnf(refute_18_283,plain,
( e20 != e20
| h2(e13) = e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,h4(e10)) )],[refute_18_282,refute_18_262]) ).
cnf(refute_18_284,plain,
( h2(e13) = e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_18_152,refute_18_283]) ).
cnf(refute_18_285,plain,
( e20 != e20
| h2(e13) != e20
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_18_286,plain,
( e20 != e20
| e20 = h2(e13)
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_284,refute_18_285]) ).
cnf(refute_18_287,plain,
( e20 != e20
| definitionFOFtoCNF_22 ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_18_286,refute_18_244]) ).
cnf(refute_18_288,plain,
definitionFOFtoCNF_22,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_18_152,refute_18_287]) ).
cnf(refute_18_289,plain,
( ~ definitionFOFtoCNF_15
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_18_288,refute_18_236]) ).
cnf(refute_18_290,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_18_71]) ).
cnf(refute_18_291,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_18_72]) ).
cnf(refute_18_292,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_18_293,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_18_294,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_18_292,refute_18_293]) ).
cnf(refute_18_295,plain,
op2(e23,h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_294]) ).
cnf(refute_18_296,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_18_297,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_298,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_18_296,refute_18_297]) ).
cnf(refute_18_299,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_267,refute_18_298]) ).
cnf(refute_18_300,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_18_301,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_18_299,refute_18_300]) ).
cnf(refute_18_302,plain,
op2(h4(e12),h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h2(e13))) )],[refute_18_295,refute_18_301]) ).
cnf(refute_18_303,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_18_304,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h2(e13))) )],[refute_18_302,refute_18_303]) ).
cnf(refute_18_305,plain,
h4(op1(e12,e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_18_291,refute_18_304]) ).
cnf(refute_18_306,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_18_74]) ).
cnf(refute_18_307,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_18_76]) ).
cnf(refute_18_308,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_18_309,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_18_307,refute_18_308]) ).
cnf(refute_18_310,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_18_311,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_310]) ).
cnf(refute_18_312,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_18_306,refute_18_311]) ).
cnf(refute_18_313,plain,
e11 != e13,
inference(canonicalize,[],[normalize_18_78]) ).
cnf(refute_18_314,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_18_315,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_18_314,refute_18_313]) ).
cnf(refute_18_316,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_18_312,refute_18_315]) ).
cnf(refute_18_317,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_18_79]) ).
cnf(refute_18_318,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_18_80]) ).
cnf(refute_18_319,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_18_320,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_18_321,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_319,refute_18_320]) ).
cnf(refute_18_322,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_321]) ).
cnf(refute_18_323,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_18_324,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_18_325,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_323,refute_18_324]) ).
cnf(refute_18_326,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_325]) ).
cnf(refute_18_327,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_18_328,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_326,refute_18_327]) ).
cnf(refute_18_329,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_18_322,refute_18_328]) ).
cnf(refute_18_330,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_18_331,plain,
( e11 != op1(op1(e12,e12),op1(e12,e12))
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_18_329,refute_18_330]) ).
cnf(refute_18_332,plain,
e11 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_318,refute_18_331]) ).
cnf(refute_18_333,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_18_334,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_18_332,refute_18_333]) ).
cnf(refute_18_335,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_18_336,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_18_334,refute_18_335]) ).
cnf(refute_18_337,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_18_336,refute_18_317]) ).
cnf(refute_18_338,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_18_316,refute_18_337]) ).
cnf(refute_18_339,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op1(e12,e11) != e11
| h4(e11) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[0,0],$fot(e11)]]) ).
cnf(refute_18_340,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(e11) = op2(e23,h2(e13))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_18_338,refute_18_339]) ).
cnf(refute_18_341,plain,
( h4(e11) = op2(e23,h2(e13))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_18_305,refute_18_340]) ).
cnf(refute_18_342,plain,
( h4(e11) != h2(e13)
| h4(e11) != op2(e23,h2(e13))
| h2(e13) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e23,h2(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_343,plain,
( h4(e11) != op2(e23,h2(e13))
| h2(e13) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_342]) ).
cnf(refute_18_344,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h4(op1(e12,e11)) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_18_345,plain,
op2(e23,h2(e13)) = h4(op1(e12,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_18_305,refute_18_344]) ).
cnf(refute_18_346,plain,
( h2(e13) != op2(e23,h2(e13))
| op2(e23,h2(e13)) != h4(op1(e12,e11))
| h2(e13) = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(op1(e12,e11))) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_18_347,plain,
( h2(e13) != op2(e23,h2(e13))
| h2(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h4(op1(e12,e11))) )],[refute_18_345,refute_18_346]) ).
cnf(refute_18_348,plain,
( h4(e11) != op2(e23,h2(e13))
| h2(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h2(e13))) )],[refute_18_343,refute_18_347]) ).
cnf(refute_18_349,plain,
( h2(e13) = h4(op1(e12,e11))
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,h2(e13))) )],[refute_18_341,refute_18_348]) ).
cnf(refute_18_350,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_18_81]) ).
cnf(refute_18_351,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_18_352,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_18_353,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_18_351,refute_18_352]) ).
cnf(refute_18_354,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_131,refute_18_353]) ).
cnf(refute_18_355,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_18_356,plain,
( h1(e10) != op2(op2(e20,e20),e20)
| h1(e10) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_18_354,refute_18_355]) ).
cnf(refute_18_357,plain,
h1(e10) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_18_350,refute_18_356]) ).
cnf(refute_18_358,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_18_90]) ).
cnf(refute_18_359,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_18_91]) ).
cnf(refute_18_360,plain,
( op2(e20,e23) != h4(e10)
| op2(e21,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).
cnf(refute_18_361,plain,
( op2(e20,e23) != h4(e10)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_360]) ).
cnf(refute_18_362,plain,
op2(e20,e23) != h4(e10),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_18_361,refute_18_359]) ).
cnf(refute_18_363,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_18_103]) ).
cnf(refute_18_364,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_18_105]) ).
cnf(refute_18_365,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_18_106]) ).
cnf(refute_18_366,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_18_367,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_366]) ).
cnf(refute_18_368,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_18_367,refute_18_365]) ).
cnf(refute_18_369,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_18_370,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_18_369,refute_18_368]) ).
cnf(refute_18_371,plain,
( ~ definitionFOFtoCNF_27
| ~ definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_18_364,refute_18_370]) ).
cnf(refute_18_372,plain,
( op2(e23,op2(e23,e23)) != e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_18_108]) ).
cnf(refute_18_373,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_18_374,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_18_375,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e23,e23)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_18_373,refute_18_374]) ).
cnf(refute_18_376,plain,
op2(e23,op2(e23,e23)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_375]) ).
cnf(refute_18_377,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) != op2(e23,h4(e13))
| op2(e23,op2(e23,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) ),[1],$fot(e23)]]) ).
cnf(refute_18_378,plain,
( op2(e23,h4(e13)) != e23
| op2(e23,op2(e23,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,h4(e13))) )],[refute_18_376,refute_18_377]) ).
cnf(refute_18_379,plain,
( op2(e23,h4(e13)) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e23) )],[refute_18_378,refute_18_372]) ).
cnf(refute_18_380,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_18_381,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_382,plain,
( h4(e13) != e21
| op2(e23,h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_18_380,refute_18_381]) ).
cnf(refute_18_383,plain,
op2(e23,h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_382]) ).
cnf(refute_18_384,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) != op2(e23,e21)
| op2(e23,h4(e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_18_385,plain,
( op2(e23,e21) != e23
| op2(e23,h4(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_18_383,refute_18_384]) ).
cnf(refute_18_386,plain,
( op2(e23,e21) != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),e23) )],[refute_18_385,refute_18_379]) ).
cnf(refute_18_387,plain,
( op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(canonicalize,[],[normalize_18_109]) ).
cnf(refute_18_388,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_18_389,plain,
( e23 != e23
| op2(e23,e21) = e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_18_387,refute_18_388]) ).
cnf(refute_18_390,plain,
( e23 != e23
| definitionFOFtoCNF_28 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_18_389,refute_18_386]) ).
cnf(refute_18_391,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_18_392,plain,
definitionFOFtoCNF_28,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_390]) ).
cnf(refute_18_393,plain,
~ definitionFOFtoCNF_27,
inference(resolve,[$cnf( definitionFOFtoCNF_28 )],[refute_18_392,refute_18_371]) ).
cnf(refute_18_394,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_18_363,refute_18_393]) ).
cnf(refute_18_395,plain,
( ~ definitionFOFtoCNF_29
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_18_111]) ).
cnf(refute_18_396,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_18_397,plain,
( op2(e23,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_18_24,refute_18_396]) ).
cnf(refute_18_398,plain,
( ~ definitionFOFtoCNF_29
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_18_395,refute_18_397]) ).
cnf(refute_18_399,plain,
e20 != e22,
inference(canonicalize,[],[normalize_18_112]) ).
cnf(refute_18_400,plain,
~ definitionFOFtoCNF_29,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_18_398,refute_18_399]) ).
cnf(refute_18_401,plain,
( op2(e20,e23) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_18_394,refute_18_400]) ).
cnf(refute_18_402,plain,
( e23 != h4(e10)
| op2(e20,e23) != e23
| op2(e20,e23) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[1],$fot(h4(e10))]]) ).
cnf(refute_18_403,plain,
( e23 != h4(e10)
| op2(e20,e23) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_18_401,refute_18_402]) ).
cnf(refute_18_404,plain,
( e23 != h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e10)) )],[refute_18_403,refute_18_362]) ).
cnf(refute_18_405,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_18_113]) ).
cnf(refute_18_406,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_18_114]) ).
cnf(refute_18_407,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_408,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_407]) ).
cnf(refute_18_409,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_18_406,refute_18_408]) ).
cnf(refute_18_410,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_18_115]) ).
cnf(refute_18_411,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_18_412,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_411]) ).
cnf(refute_18_413,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_18_412,refute_18_410]) ).
cnf(refute_18_414,plain,
( h2(e13) = e23
| op2(e21,e20) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_18_409,refute_18_413]) ).
cnf(refute_18_415,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h4(e10)
| h4(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).
cnf(refute_18_416,plain,
( op2(e21,e23) != e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_415]) ).
cnf(refute_18_417,plain,
( h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_18_414,refute_18_416]) ).
cnf(refute_18_418,plain,
( e23 != op2(e23,e20)
| op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_18_419,plain,
( e23 != op2(e23,e20)
| h2(e13) = e23
| h4(e10) = e23
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_18_417,refute_18_418]) ).
cnf(refute_18_420,plain,
( e23 != op2(e23,e20)
| h2(e13) = e23
| h4(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_18_419,refute_18_405]) ).
cnf(refute_18_421,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_27
| definitionFOFtoCNF_29 ),
inference(canonicalize,[],[normalize_18_116]) ).
cnf(refute_18_422,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23
| definitionFOFtoCNF_29 ),
inference(resolve,[$cnf( definitionFOFtoCNF_27 )],[refute_18_421,refute_18_393]) ).
cnf(refute_18_423,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_29 )],[refute_18_422,refute_18_400]) ).
cnf(refute_18_424,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_18_425,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_18_423,refute_18_424]) ).
cnf(refute_18_426,plain,
( e23 != e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_18_425,refute_18_420]) ).
cnf(refute_18_427,plain,
( h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_426]) ).
cnf(refute_18_428,plain,
( e23 != e23
| h4(e10) != e23
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_18_429,plain,
( e23 != e23
| e23 = h4(e10)
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_18_427,refute_18_428]) ).
cnf(refute_18_430,plain,
( e23 != e23
| h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_18_429,refute_18_404]) ).
cnf(refute_18_431,plain,
( h2(e13) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_430]) ).
cnf(refute_18_432,plain,
( h2(e13) != e23
| h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_433,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(op1(e13,e11)) = op2(e21,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_18_431,refute_18_432]) ).
cnf(refute_18_434,plain,
( h4(op1(e13,e11)) = op2(e21,e23)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_18_122,refute_18_433]) ).
cnf(refute_18_435,plain,
( h4(op1(e13,e11)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e13,e11)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_18_436,plain,
( h4(op1(e13,e11)) != op2(e21,e23)
| h4(op1(e13,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_435]) ).
cnf(refute_18_437,plain,
( h4(op1(e13,e11)) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,e23)) )],[refute_18_434,refute_18_436]) ).
cnf(refute_18_438,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_18_117]) ).
cnf(refute_18_439,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_18_118]) ).
cnf(refute_18_440,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_18_119]) ).
cnf(refute_18_441,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_18_442,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_441]) ).
cnf(refute_18_443,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_18_442,refute_18_440]) ).
cnf(refute_18_444,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_18_445,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_18_444,refute_18_443]) ).
cnf(refute_18_446,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_18_439,refute_18_445]) ).
cnf(refute_18_447,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_18_448,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_18_334,refute_18_447]) ).
cnf(refute_18_449,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_18_446,refute_18_448]) ).
cnf(refute_18_450,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_18_449,refute_18_313]) ).
cnf(refute_18_451,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| op1(e13,e11) != e13
| h4(e13) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_452,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| h4(e13) = op2(e21,h2(e13))
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_18_450,refute_18_451]) ).
cnf(refute_18_453,plain,
( h4(e13) = op2(e21,h2(e13))
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e21,h2(e13))) )],[refute_18_122,refute_18_452]) ).
cnf(refute_18_454,plain,
( h4(e13) != e21
| h4(e13) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,h2(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_18_455,plain,
( h4(e13) != op2(e21,h2(e13))
| e21 = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_454]) ).
cnf(refute_18_456,plain,
( e21 != op2(e21,h2(e13))
| op2(e21,h2(e13)) != h4(op1(e13,e11))
| e21 = h4(op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e13,e11))) ),[0],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_18_457,plain,
( e21 != op2(e21,h2(e13))
| e21 = h4(op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h4(op1(e13,e11))) )],[refute_18_124,refute_18_456]) ).
cnf(refute_18_458,plain,
( h4(e13) != op2(e21,h2(e13))
| e21 = h4(op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e13))) )],[refute_18_455,refute_18_457]) ).
cnf(refute_18_459,plain,
( e21 = h4(op1(e13,e11))
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,h2(e13))) )],[refute_18_453,refute_18_458]) ).
cnf(refute_18_460,plain,
( e21 != h4(op1(e13,e11))
| h4(op1(e13,e11)) != h4(e10)
| e21 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e10)) ),[0],$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_18_461,plain,
( e21 != h4(op1(e13,e11))
| e21 = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e10)) )],[refute_18_437,refute_18_460]) ).
cnf(refute_18_462,plain,
( e21 = h4(e10)
| op1(e13,e10) = e13
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e11))) )],[refute_18_459,refute_18_461]) ).
cnf(refute_18_463,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_18_120]) ).
cnf(refute_18_464,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_18_465,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_464]) ).
cnf(refute_18_466,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_18_465,refute_18_463]) ).
cnf(refute_18_467,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_18_468,plain,
( h4(e10) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_467]) ).
cnf(refute_18_469,plain,
( h4(e10) != e21
| h4(e13) != e21
| h4(e10) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_18_470,plain,
( h4(e10) != e21
| h4(e10) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_469]) ).
cnf(refute_18_471,plain,
( h4(e10) != e21
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_18_470,refute_18_468]) ).
cnf(refute_18_472,plain,
h4(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_18_471,refute_18_466]) ).
cnf(refute_18_473,plain,
( e21 != h4(e10)
| h4(e10) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_18_474,plain,
e21 != h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_18_473,refute_18_472]) ).
cnf(refute_18_475,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_18_462,refute_18_474]) ).
cnf(refute_18_476,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_18_477,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) = op1(e13,e11)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_18_475,refute_18_476]) ).
cnf(refute_18_478,plain,
( e13 != op1(e13,e11)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_18_477,refute_18_438]) ).
cnf(refute_18_479,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_18_122]) ).
cnf(refute_18_480,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_18_123]) ).
cnf(refute_18_481,plain,
e10 = op1(op1(e12,e12),e12),
inference(canonicalize,[],[normalize_18_124]) ).
cnf(refute_18_482,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_18_483,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_18_484,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_18_482,refute_18_483]) ).
cnf(refute_18_485,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_484]) ).
cnf(refute_18_486,plain,
( e10 != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_18_487,plain,
( e10 != op1(op1(e12,e12),e12)
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_18_485,refute_18_486]) ).
cnf(refute_18_488,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_18_481,refute_18_487]) ).
cnf(refute_18_489,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_18_490,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_18_488,refute_18_489]) ).
cnf(refute_18_491,plain,
( op1(e13,e11) != e10
| op1(e13,e12) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_18_492,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_18_490,refute_18_491]) ).
cnf(refute_18_493,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_18_492,refute_18_480]) ).
cnf(refute_18_494,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_18_479,refute_18_493]) ).
cnf(refute_18_495,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_18_125]) ).
cnf(refute_18_496,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_18_497,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_18_334,refute_18_496]) ).
cnf(refute_18_498,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_18_497,refute_18_495]) ).
cnf(refute_18_499,plain,
( op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_18_494,refute_18_498]) ).
cnf(refute_18_500,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_18_501,plain,
( e13 != e13
| e13 = op1(e13,e11)
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_18_499,refute_18_500]) ).
cnf(refute_18_502,plain,
( e13 != e13
| op1(e13,e11) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_18_501,refute_18_478]) ).
cnf(refute_18_503,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_18_504,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_18_503,refute_18_502]) ).
cnf(refute_18_505,plain,
( h4(op1(e13,e11)) != h4(e10)
| op1(e13,e11) != e12
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_18_506,plain,
( h4(op1(e13,e11)) != h4(e10)
| h4(e12) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_18_504,refute_18_505]) ).
cnf(refute_18_507,plain,
( h4(e12) = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e10)) )],[refute_18_437,refute_18_506]) ).
cnf(refute_18_508,plain,
( h4(e12) != e23
| h4(e12) != h4(e10)
| e23 = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_18_509,plain,
( h4(e12) != h4(e10)
| e23 = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_267,refute_18_508]) ).
cnf(refute_18_510,plain,
( e23 = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_18_507,refute_18_509]) ).
cnf(refute_18_511,plain,
( e23 != h4(e10)
| h4(e10) = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_18_512,plain,
( h4(e10) = e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_18_510,refute_18_511]) ).
cnf(refute_18_513,plain,
( e23 != e23
| e23 = h4(e10)
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_18_512,refute_18_428]) ).
cnf(refute_18_514,plain,
( e23 != e23
| definitionFOFtoCNF_23 ),
inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_18_513,refute_18_404]) ).
cnf(refute_18_515,plain,
definitionFOFtoCNF_23,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_514]) ).
cnf(refute_18_516,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_18_515,refute_18_358]) ).
cnf(refute_18_517,plain,
( ~ definitionFOFtoCNF_25
| op2(e21,e23) = e21
| definitionFOFtoCNF_24 ),
inference(canonicalize,[],[normalize_18_127]) ).
cnf(refute_18_518,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h4(e10)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).
cnf(refute_18_519,plain,
( op2(e21,e23) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_518]) ).
cnf(refute_18_520,plain,
( ~ definitionFOFtoCNF_25
| h4(e10) = e21
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_18_517,refute_18_519]) ).
cnf(refute_18_521,plain,
( ~ definitionFOFtoCNF_25
| definitionFOFtoCNF_24 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_18_520,refute_18_472]) ).
cnf(refute_18_522,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_18_128]) ).
cnf(refute_18_523,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_18_130]) ).
cnf(refute_18_524,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_18_525,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_18_29,refute_18_524]) ).
cnf(refute_18_526,plain,
( e21 = e22
| op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_18_523,refute_18_525]) ).
cnf(refute_18_527,plain,
h4(e13) != e22,
inference(canonicalize,[],[normalize_18_131]) ).
cnf(refute_18_528,plain,
( e21 != e22
| h4(e13) != e21
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e22)]]) ).
cnf(refute_18_529,plain,
( e21 != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_528]) ).
cnf(refute_18_530,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_18_529,refute_18_527]) ).
cnf(refute_18_531,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_18_526,refute_18_530]) ).
cnf(refute_18_532,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_18_533,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_18_531,refute_18_532]) ).
cnf(refute_18_534,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_18_533,refute_18_522]) ).
cnf(refute_18_535,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_18_132]) ).
cnf(refute_18_536,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) != h4(e10)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_18_537,plain,
( h4(e10) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_536]) ).
cnf(refute_18_538,plain,
h4(e10) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_18_537,refute_18_535]) ).
cnf(refute_18_539,plain,
( op2(e22,op2(e22,e23)) != e23
| definitionFOFtoCNF_25 ),
inference(canonicalize,[],[normalize_18_133]) ).
cnf(refute_18_540,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_18_135]) ).
cnf(refute_18_541,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_18_540,refute_18_370]) ).
cnf(refute_18_542,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_18_136]) ).
cnf(refute_18_543,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_18_544,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_543]) ).
cnf(refute_18_545,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_18_544,refute_18_542]) ).
cnf(refute_18_546,plain,
( h4(e13) != e21
| op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_18_547,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_546]) ).
cnf(refute_18_548,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_18_547,refute_18_545]) ).
cnf(refute_18_549,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_18_541,refute_18_548]) ).
cnf(refute_18_550,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| op2(e22,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e23)),e23) ),[0,1],$fot(e22)]]) ).
cnf(refute_18_551,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| op2(e22,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_18_549,refute_18_550]) ).
cnf(refute_18_552,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),e23) )],[refute_18_551,refute_18_539]) ).
cnf(refute_18_553,plain,
( e23 != e23
| op2(e22,e22) != e23
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_18_554,plain,
( e23 != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_553]) ).
cnf(refute_18_555,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_554,refute_18_552]) ).
cnf(refute_18_556,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_555]) ).
cnf(refute_18_557,plain,
( h4(e10) != e20
| op2(e22,e23) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_18_558,plain,
( h4(e10) != e20
| h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_18_556,refute_18_557]) ).
cnf(refute_18_559,plain,
( h4(e10) != e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_18_558,refute_18_538]) ).
cnf(refute_18_560,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_18_561,plain,
( e20 != e20
| h2(e13) = e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_18_280,refute_18_560]) ).
cnf(refute_18_562,plain,
( e20 != e20
| h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_18_561,refute_18_559]) ).
cnf(refute_18_563,plain,
( h2(e13) = e20
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_18_152,refute_18_562]) ).
cnf(refute_18_564,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != e20
| h2(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_565,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = op2(e20,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_563,refute_18_564]) ).
cnf(refute_18_566,plain,
( h2(e10) = op2(e20,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_18_191,refute_18_565]) ).
cnf(refute_18_567,plain,
( h2(e10) != op2(e20,e21)
| op2(e20,e21) = h2(e10) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_18_568,plain,
( op2(e20,e21) = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_18_566,refute_18_567]) ).
cnf(refute_18_569,plain,
( h2(e10) != e21
| op2(e20,e21) != h2(e10)
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_18_570,plain,
( h2(e10) != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_18_568,refute_18_569]) ).
cnf(refute_18_571,plain,
( h2(e10) != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_18_570,refute_18_534]) ).
cnf(refute_18_572,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_18_137]) ).
cnf(refute_18_573,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_18_574,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_575,plain,
( h4(e13) != e21
| op2(h4(e10),h4(e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_18_573,refute_18_574]) ).
cnf(refute_18_576,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_575]) ).
cnf(refute_18_577,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_18_578,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),e21)) )],[refute_18_576,refute_18_577]) ).
cnf(refute_18_579,plain,
h4(op1(e10,e13)) = op2(h4(e10),e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_18_572,refute_18_578]) ).
cnf(refute_18_580,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_18_138]) ).
cnf(refute_18_581,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e13)))]]) ).
cnf(refute_18_582,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_583,plain,
( h4(e13) != e21
| op2(h2(e13),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_18_581,refute_18_582]) ).
cnf(refute_18_584,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_583]) ).
cnf(refute_18_585,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_18_586,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_587,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_18_585,refute_18_586]) ).
cnf(refute_18_588,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_587]) ).
cnf(refute_18_589,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),h4(e13)))),bind(Z,$fot(op2(h2(e13),e21)))]]) ).
cnf(refute_18_590,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_18_588,refute_18_589]) ).
cnf(refute_18_591,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),e21)) )],[refute_18_584,refute_18_590]) ).
cnf(refute_18_592,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) != op2(h2(e13),e21)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_18_593,plain,
( op2(h2(e13),e21) != h2(e10)
| op2(h4(e11),h4(e13)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),e21)) )],[refute_18_591,refute_18_592]) ).
cnf(refute_18_594,plain,
op2(h4(e11),h4(e13)) = h2(e10),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e10)) )],[refute_18_193,refute_18_593]) ).
cnf(refute_18_595,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != h2(e10)
| h4(op1(e11,e13)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),h2(e10)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_18_596,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),h2(e10)) )],[refute_18_594,refute_18_595]) ).
cnf(refute_18_597,plain,
h4(op1(e11,e13)) = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_18_580,refute_18_596]) ).
cnf(refute_18_598,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_18_139]) ).
cnf(refute_18_599,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_18_140]) ).
cnf(refute_18_600,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_18_601,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_600]) ).
cnf(refute_18_602,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_18_601,refute_18_599]) ).
cnf(refute_18_603,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_18_604,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_18_603,refute_18_602]) ).
cnf(refute_18_605,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_18_598,refute_18_604]) ).
cnf(refute_18_606,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_18_605,refute_18_448]) ).
cnf(refute_18_607,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_18_606,refute_18_313]) ).
cnf(refute_18_608,plain,
( h4(op1(e11,e13)) != h2(e10)
| op1(e11,e13) != e13
| h4(e13) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_609,plain,
( h4(op1(e11,e13)) != h2(e10)
| h4(e13) = h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_18_607,refute_18_608]) ).
cnf(refute_18_610,plain,
( h4(e13) = h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h2(e10)) )],[refute_18_597,refute_18_609]) ).
cnf(refute_18_611,plain,
( h4(e13) != e21
| h4(e13) != h2(e10)
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e10)) ),[0],$fot(e21)]]) ).
cnf(refute_18_612,plain,
( h4(e13) != h2(e10)
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_611]) ).
cnf(refute_18_613,plain,
( e21 = h2(e10)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e10)) )],[refute_18_610,refute_18_612]) ).
cnf(refute_18_614,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op1(e10,e13) != e13
| h4(e13) = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_615,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| e21 = h2(e10)
| h4(e13) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_18_613,refute_18_614]) ).
cnf(refute_18_616,plain,
( e21 = h2(e10)
| h4(e13) = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_18_579,refute_18_615]) ).
cnf(refute_18_617,plain,
( h4(e13) != e21
| h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_18_618,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = op2(h4(e10),e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_617]) ).
cnf(refute_18_619,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| op2(h4(e10),e21) = h4(op1(e10,e13)) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(op2(h4(e10),e21)))]]) ).
cnf(refute_18_620,plain,
op2(h4(e10),e21) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_18_579,refute_18_619]) ).
cnf(refute_18_621,plain,
( e21 != op2(h4(e10),e21)
| op2(h4(e10),e21) != h4(op1(e10,e13))
| e21 = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e10,e13))) ),[0],$fot(op2(h4(e10),e21))]]) ).
cnf(refute_18_622,plain,
( e21 != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),e21),h4(op1(e10,e13))) )],[refute_18_620,refute_18_621]) ).
cnf(refute_18_623,plain,
( h4(e13) != op2(h4(e10),e21)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e10),e21)) )],[refute_18_618,refute_18_622]) ).
cnf(refute_18_624,plain,
( e21 = h2(e10)
| e21 = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h4(e10),e21)) )],[refute_18_616,refute_18_623]) ).
cnf(refute_18_625,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_18_141]) ).
cnf(refute_18_626,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_18_625,refute_18_39]) ).
cnf(refute_18_627,plain,
( h4(e13) = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_18_626,refute_18_370]) ).
cnf(refute_18_628,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_18_627,refute_18_73]) ).
cnf(refute_18_629,plain,
( e21 = e23
| h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_18_628,refute_18_416]) ).
cnf(refute_18_630,plain,
( h4(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_629,refute_18_11]) ).
cnf(refute_18_631,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_18_142]) ).
cnf(refute_18_632,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_18_633,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_632]) ).
cnf(refute_18_634,plain,
( h4(e13) = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_18_631,refute_18_633]) ).
cnf(refute_18_635,plain,
( h4(e13) != e21
| h4(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_18_636,plain,
( h4(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_635]) ).
cnf(refute_18_637,plain,
( e21 = e22
| op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_18_634,refute_18_636]) ).
cnf(refute_18_638,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h4(e10)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_18_639,plain,
( op2(e21,e23) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_638]) ).
cnf(refute_18_640,plain,
( e21 = e22
| h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_18_637,refute_18_639]) ).
cnf(refute_18_641,plain,
( h4(e10) = e22
| op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_18_640,refute_18_530]) ).
cnf(refute_18_642,plain,
h4(e10) != e22,
inference(canonicalize,[],[normalize_18_143]) ).
cnf(refute_18_643,plain,
( op2(e20,e23) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_18_641,refute_18_642]) ).
cnf(refute_18_644,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_18_645,plain,
( op2(e22,e23) != e20
| e22 = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_18_643,refute_18_644]) ).
cnf(refute_18_646,plain,
( e22 = e20
| op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_18_556,refute_18_645]) ).
cnf(refute_18_647,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_18_648,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_18_647,refute_18_399]) ).
cnf(refute_18_649,plain,
( op2(e20,e23) = e22
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_18_646,refute_18_648]) ).
cnf(refute_18_650,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_18_651,plain,
( op2(e20,e23) != e23
| e22 = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_18_649,refute_18_650]) ).
cnf(refute_18_652,plain,
( e22 = e23
| h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_18_630,refute_18_651]) ).
cnf(refute_18_653,plain,
( h4(e10) = e23
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_18_652,refute_18_45]) ).
cnf(refute_18_654,plain,
( h4(e10) != e23
| h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_655,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e21)
| h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_18_653,refute_18_654]) ).
cnf(refute_18_656,plain,
( h4(op1(e10,e13)) = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),e21)) )],[refute_18_579,refute_18_655]) ).
cnf(refute_18_657,plain,
( e21 != h4(op1(e10,e13))
| h4(op1(e10,e13)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_18_658,plain,
( e21 != h4(op1(e10,e13))
| e21 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e23,e21)) )],[refute_18_656,refute_18_657]) ).
cnf(refute_18_659,plain,
( e21 = h2(e10)
| e21 = op2(e23,e21)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e10,e13))) )],[refute_18_624,refute_18_658]) ).
cnf(refute_18_660,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_18_144]) ).
cnf(refute_18_661,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_18_662,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_661]) ).
cnf(refute_18_663,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_18_662,refute_18_660]) ).
cnf(refute_18_664,plain,
( h4(e13) != e21
| op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_18_665,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_664]) ).
cnf(refute_18_666,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_18_665,refute_18_663]) ).
cnf(refute_18_667,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_18_668,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_18_667,refute_18_666]) ).
cnf(refute_18_669,plain,
( e21 = h2(e10)
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_18_659,refute_18_668]) ).
cnf(refute_18_670,plain,
( e21 != h2(e10)
| h2(e10) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_18_671,plain,
( h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_18_669,refute_18_670]) ).
cnf(refute_18_672,plain,
( e21 != e21
| h2(e10) != e21
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e21) ),[1],$fot(e21)]]) ).
cnf(refute_18_673,plain,
( e21 != e21
| h2(e10) = e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_18_671,refute_18_672]) ).
cnf(refute_18_674,plain,
( e21 != e21
| definitionFOFtoCNF_25 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_18_673,refute_18_571]) ).
cnf(refute_18_675,plain,
definitionFOFtoCNF_25,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_674]) ).
cnf(refute_18_676,plain,
definitionFOFtoCNF_24,
inference(resolve,[$cnf( definitionFOFtoCNF_25 )],[refute_18_675,refute_18_521]) ).
cnf(refute_18_677,plain,
( ~ definitionFOFtoCNF_26
| op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_18_676,refute_18_516]) ).
cnf(refute_18_678,plain,
( op2(e22,e20) = e22
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_18_146]) ).
cnf(refute_18_679,plain,
( op2(e22,op2(e22,e21)) != e21
| definitionFOFtoCNF_26 ),
inference(canonicalize,[],[normalize_18_147]) ).
cnf(refute_18_680,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_18_148]) ).
cnf(refute_18_681,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_18_680,refute_18_9]) ).
cnf(refute_18_682,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_18_681,refute_18_13]) ).
cnf(refute_18_683,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_18_682,refute_18_548]) ).
cnf(refute_18_684,plain,
( op2(e22,e21) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_18_685,plain,
( op2(e22,e20) = e21
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_18_683,refute_18_684]) ).
cnf(refute_18_686,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_18_685,refute_18_679]) ).
cnf(refute_18_687,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_18_688,plain,
( op2(e22,e20) != e22
| e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_18_686,refute_18_687]) ).
cnf(refute_18_689,plain,
( e21 = e22
| definitionFOFtoCNF_26 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_18_678,refute_18_688]) ).
cnf(refute_18_690,plain,
definitionFOFtoCNF_26,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_18_689,refute_18_530]) ).
cnf(refute_18_691,plain,
( op2(e21,e22) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_18_690,refute_18_677]) ).
cnf(refute_18_692,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_18_691,refute_18_30]) ).
cnf(refute_18_693,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_18_692,refute_18_0]) ).
cnf(refute_18_694,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_18_149]) ).
cnf(refute_18_695,plain,
( ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_18_150]) ).
cnf(refute_18_696,plain,
( ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_18_515,refute_18_695]) ).
cnf(refute_18_697,plain,
( ~ definitionFOFtoCNF_26
| op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_18_676,refute_18_696]) ).
cnf(refute_18_698,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_18_690,refute_18_697]) ).
cnf(refute_18_699,plain,
( op2(e22,e20) != e21
| op2(e22,e21) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_18_700,plain,
( op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_18_698,refute_18_699]) ).
cnf(refute_18_701,plain,
( op2(e22,e20) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_18_700,refute_18_694]) ).
cnf(refute_18_702,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_18_151]) ).
cnf(refute_18_703,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_704,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_131,refute_18_703]) ).
cnf(refute_18_705,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_18_702,refute_18_704]) ).
cnf(refute_18_706,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_18_152]) ).
cnf(refute_18_707,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_18_708,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_37,refute_18_707]) ).
cnf(refute_18_709,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_18_708,refute_18_706]) ).
cnf(refute_18_710,plain,
( h4(e13) != e21
| op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_18_711,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_710]) ).
cnf(refute_18_712,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_18_711,refute_18_709]) ).
cnf(refute_18_713,plain,
( h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_18_705,refute_18_712]) ).
cnf(refute_18_714,plain,
( e21 != e21
| op2(e22,e20) != e21
| op2(e22,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(e21)]]) ).
cnf(refute_18_715,plain,
( e21 != e21
| h1(e13) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_18_713,refute_18_714]) ).
cnf(refute_18_716,plain,
( e21 != e21
| h1(e13) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_18_715,refute_18_701]) ).
cnf(refute_18_717,plain,
( e21 != e21
| h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_18_716,refute_18_693]) ).
cnf(refute_18_718,plain,
( h1(e13) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_717]) ).
cnf(refute_18_719,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e13) != e21
| h1(e10) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_720,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_718,refute_18_719]) ).
cnf(refute_18_721,plain,
( h1(e10) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_18_357,refute_18_720]) ).
cnf(refute_18_722,plain,
( op2(e21,op2(e21,e21)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_18_153]) ).
cnf(refute_18_723,plain,
( op2(e21,h2(e13)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),e21) )],[refute_18_85,refute_18_722]) ).
cnf(refute_18_724,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_23
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),e21) )],[refute_18_126,refute_18_723]) ).
cnf(refute_18_725,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_24
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_23 )],[refute_18_515,refute_18_724]) ).
cnf(refute_18_726,plain,
( h4(op1(e13,e11)) != e21
| ~ definitionFOFtoCNF_26
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_24 )],[refute_18_676,refute_18_725]) ).
cnf(refute_18_727,plain,
( h4(op1(e13,e11)) != e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_26 )],[refute_18_690,refute_18_726]) ).
cnf(refute_18_728,plain,
( op1(e13,e10) != e12
| op1(e13,e11) != e12
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_18_729,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e11)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_18_499,refute_18_728]) ).
cnf(refute_18_730,plain,
( op1(e13,e10) != e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_18_729,refute_18_438]) ).
cnf(refute_18_731,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_18_154]) ).
cnf(refute_18_732,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_18_733,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_734,plain,
( h4(e13) != e21
| op2(h4(e13),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_18_732,refute_18_733]) ).
cnf(refute_18_735,plain,
op2(h4(e13),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_734]) ).
cnf(refute_18_736,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_18_737,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e21,h4(e10))) )],[refute_18_735,refute_18_736]) ).
cnf(refute_18_738,plain,
h4(op1(e13,e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_18_731,refute_18_737]) ).
cnf(refute_18_739,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_18_155]) ).
cnf(refute_18_740,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_18_156]) ).
cnf(refute_18_741,plain,
( op1(e13,e10) != e10
| op1(e13,e12) != e10
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_18_742,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_18_490,refute_18_741]) ).
cnf(refute_18_743,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_18_742,refute_18_740]) ).
cnf(refute_18_744,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_18_739,refute_18_743]) ).
cnf(refute_18_745,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_18_157]) ).
cnf(refute_18_746,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_18_747,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_18_334,refute_18_746]) ).
cnf(refute_18_748,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_18_747,refute_18_745]) ).
cnf(refute_18_749,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_18_744,refute_18_748]) ).
cnf(refute_18_750,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op1(e13,e10) != e13
| h4(e13) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_751,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(e13) = op2(e21,h4(e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_18_749,refute_18_750]) ).
cnf(refute_18_752,plain,
( h4(e13) = op2(e21,h4(e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_18_738,refute_18_751]) ).
cnf(refute_18_753,plain,
( h4(e13) != e21
| h4(e13) != op2(e21,h4(e10))
| e21 = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,h4(e10))) ),[0],$fot(e21)]]) ).
cnf(refute_18_754,plain,
( h4(e13) != op2(e21,h4(e10))
| e21 = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_753]) ).
cnf(refute_18_755,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = h4(op1(e13,e10)) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(op2(e21,h4(e10))))]]) ).
cnf(refute_18_756,plain,
op2(e21,h4(e10)) = h4(op1(e13,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_18_738,refute_18_755]) ).
cnf(refute_18_757,plain,
( e21 != op2(e21,h4(e10))
| op2(e21,h4(e10)) != h4(op1(e13,e10))
| e21 = h4(op1(e13,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(op1(e13,e10))) ),[0],$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_18_758,plain,
( e21 != op2(e21,h4(e10))
| e21 = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),h4(op1(e13,e10))) )],[refute_18_756,refute_18_757]) ).
cnf(refute_18_759,plain,
( h4(e13) != op2(e21,h4(e10))
| e21 = h4(op1(e13,e10)) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h4(e10))) )],[refute_18_754,refute_18_758]) ).
cnf(refute_18_760,plain,
( e21 = h4(op1(e13,e10))
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,h4(e10))) )],[refute_18_752,refute_18_759]) ).
cnf(refute_18_761,plain,
( h1(e10) != op2(e21,e20)
| op2(e21,e20) = h1(e10) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_18_762,plain,
( op2(e21,e20) = h1(e10)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e20)) )],[refute_18_721,refute_18_761]) ).
cnf(refute_18_763,plain,
( op2(e21,e20) != e23
| op2(e21,e20) != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_18_764,plain,
( op2(e21,e20) != e23
| h1(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e10)) )],[refute_18_762,refute_18_763]) ).
cnf(refute_18_765,plain,
( h1(e10) = e23
| h2(e13) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_18_417,refute_18_764]) ).
cnf(refute_18_766,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_18_158]) ).
cnf(refute_18_767,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_18_768,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_79,refute_18_767]) ).
cnf(refute_18_769,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_18_768,refute_18_766]) ).
cnf(refute_18_770,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_18_159]) ).
cnf(refute_18_771,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_18_772,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_773,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_18_771,refute_18_772]) ).
cnf(refute_18_774,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_267,refute_18_773]) ).
cnf(refute_18_775,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(subst,[],[refute_18_60:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_18_776,plain,
( op2(e23,h4(e13)) != op2(e23,e21)
| op2(h4(e12),h4(e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_18_774,refute_18_775]) ).
cnf(refute_18_777,plain,
op2(h4(e12),h4(e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e21)) )],[refute_18_383,refute_18_776]) ).
cnf(refute_18_778,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e21)
| h4(op1(e12,e13)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_18_779,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e21)) )],[refute_18_777,refute_18_778]) ).
cnf(refute_18_780,plain,
h4(op1(e12,e13)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_18_770,refute_18_779]) ).
cnf(refute_18_781,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_18_160]) ).
cnf(refute_18_782,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_18_781,refute_18_604]) ).
cnf(refute_18_783,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_18_782,refute_18_337]) ).
cnf(refute_18_784,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e10
| h4(e10) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e10)]]) ).
cnf(refute_18_785,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_18_783,refute_18_784]) ).
cnf(refute_18_786,plain,
( h4(e10) = op2(e23,e21)
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_18_780,refute_18_785]) ).
cnf(refute_18_787,plain,
( h4(e10) != e20
| h4(e10) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e23,e21)) ),[0],$fot(e20)]]) ).
cnf(refute_18_788,plain,
( h4(e10) != op2(e23,e21)
| e20 = op2(e23,e21)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_18_280,refute_18_787]) ).
cnf(refute_18_789,plain,
( e20 = op2(e23,e21)
| h2(e13) = e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,e21)) )],[refute_18_786,refute_18_788]) ).
cnf(refute_18_790,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_18_161]) ).
cnf(refute_18_791,plain,
( op2(e23,e21) != e20
| op2(e23,e22) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_18_792,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_18_24,refute_18_791]) ).
cnf(refute_18_793,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_18_792,refute_18_790]) ).
cnf(refute_18_794,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_18_795,plain,
e20 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_18_794,refute_18_793]) ).
cnf(refute_18_796,plain,
( h2(e13) = e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_18_789,refute_18_795]) ).
cnf(refute_18_797,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| op1(e12,e13) != e12
| h4(e12) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_18_798,plain,
( h4(op1(e12,e13)) != op2(e23,e21)
| h2(e13) = e20
| h4(e12) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_18_796,refute_18_797]) ).
cnf(refute_18_799,plain,
( h2(e13) = e20
| h4(e12) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e21)) )],[refute_18_780,refute_18_798]) ).
cnf(refute_18_800,plain,
( h4(e12) != e23
| h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e23,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_18_801,plain,
( h4(e12) != op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_267,refute_18_800]) ).
cnf(refute_18_802,plain,
( e23 = op2(e23,e21)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e21)) )],[refute_18_799,refute_18_801]) ).
cnf(refute_18_803,plain,
( e23 != op2(e23,e21)
| op2(e23,e21) = e23 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_18_804,plain,
( h2(e13) = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_18_802,refute_18_803]) ).
cnf(refute_18_805,plain,
( h2(e13) != e23
| op2(e23,e21) != e23
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_18_806,plain,
( h2(e13) != e23
| h2(e13) = e20
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_18_804,refute_18_805]) ).
cnf(refute_18_807,plain,
( h2(e13) != e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_18_806,refute_18_769]) ).
cnf(refute_18_808,plain,
( h2(e13) != e20
| h2(e13) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[0],$fot(e23)]]) ).
cnf(refute_18_809,plain,
( h2(e13) != e23
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_807,refute_18_808]) ).
cnf(refute_18_810,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_18_809,refute_18_279]) ).
cnf(refute_18_811,plain,
( h1(e10) = e23
| h4(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_18_765,refute_18_810]) ).
cnf(refute_18_812,plain,
( h4(e10) != e23
| h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_813,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h1(e10) = e23
| h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_18_811,refute_18_812]) ).
cnf(refute_18_814,plain,
( h1(e10) = e23
| h4(op1(e13,e10)) = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_18_738,refute_18_813]) ).
cnf(refute_18_815,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| op2(e21,e23) != h4(e10)
| h4(op1(e13,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),h4(e10)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_18_816,plain,
( h4(op1(e13,e10)) != op2(e21,e23)
| h4(op1(e13,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_18_255,refute_18_815]) ).
cnf(refute_18_817,plain,
( h1(e10) = e23
| h4(op1(e13,e10)) = h4(e10)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e23)) )],[refute_18_814,refute_18_816]) ).
cnf(refute_18_818,plain,
( e21 != h4(op1(e13,e10))
| h4(op1(e13,e10)) != h4(e10)
| e21 = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e10)) ),[0],$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_18_819,plain,
( e21 != h4(op1(e13,e10))
| e21 = h4(e10)
| h1(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e10)) )],[refute_18_817,refute_18_818]) ).
cnf(refute_18_820,plain,
( e21 = h4(e10)
| h1(e10) = e23
| op1(e13,e10) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e13,e10))) )],[refute_18_760,refute_18_819]) ).
cnf(refute_18_821,plain,
( h1(e10) = e23
| op1(e13,e10) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,h4(e10)) )],[refute_18_820,refute_18_474]) ).
cnf(refute_18_822,plain,
( e12 != e12
| op1(e13,e10) != e12
| op1(e13,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_18_823,plain,
( e12 != e12
| h1(e10) = e23
| op1(e13,e10) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_18_821,refute_18_822]) ).
cnf(refute_18_824,plain,
( e12 != e12
| h1(e10) = e23
| op1(e13,e11) = e13
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_18_823,refute_18_730]) ).
cnf(refute_18_825,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_18_826,plain,
( h1(e10) = e23
| op1(e13,e11) = e13
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_18_825,refute_18_824]) ).
cnf(refute_18_827,plain,
( h4(e13) != e21
| op1(e13,e11) != e13
| h4(op1(e13,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),e21) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_828,plain,
( h4(e13) != e21
| h1(e10) = e23
| h4(op1(e13,e11)) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_18_826,refute_18_827]) ).
cnf(refute_18_829,plain,
( h4(e13) != e21
| h1(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_18_828,refute_18_727]) ).
cnf(refute_18_830,plain,
( e21 != e21
| h4(e13) != e21
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_18_831,plain,
( e21 != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_830]) ).
cnf(refute_18_832,plain,
( e21 != e21
| h1(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_831,refute_18_829]) ).
cnf(refute_18_833,plain,
( h1(e10) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_832]) ).
cnf(refute_18_834,plain,
( h1(e10) != e23
| h1(e10) != op2(e21,e20)
| e23 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e21,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_18_835,plain,
( h1(e10) != op2(e21,e20)
| e23 = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_18_833,refute_18_834]) ).
cnf(refute_18_836,plain,
( e23 = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e20)) )],[refute_18_721,refute_18_835]) ).
cnf(refute_18_837,plain,
( h4(e10) != e20
| h4(op1(e13,e10)) != op2(e21,h4(e10))
| h4(op1(e13,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_838,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| h2(e13) = e20
| h4(op1(e13,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_18_280,refute_18_837]) ).
cnf(refute_18_839,plain,
( h2(e13) = e20
| h4(op1(e13,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,h4(e10))) )],[refute_18_738,refute_18_838]) ).
cnf(refute_18_840,plain,
( h4(e13) != e21
| h4(op1(e13,e11)) = e21
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_18_450,refute_18_827]) ).
cnf(refute_18_841,plain,
( h4(e13) != e21
| op1(e13,e10) = e13
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_18_840,refute_18_727]) ).
cnf(refute_18_842,plain,
( e21 != e21
| op1(e13,e10) = e13
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_831,refute_18_841]) ).
cnf(refute_18_843,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_842]) ).
cnf(refute_18_844,plain,
( h4(op1(e13,e10)) != op2(e21,e20)
| op1(e13,e10) != e13
| h4(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e20)) ),[0,0],$fot(e13)]]) ).
cnf(refute_18_845,plain,
( h4(op1(e13,e10)) != op2(e21,e20)
| h4(e13) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_18_843,refute_18_844]) ).
cnf(refute_18_846,plain,
( h2(e13) = e20
| h4(e13) = op2(e21,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e21,e20)) )],[refute_18_839,refute_18_845]) ).
cnf(refute_18_847,plain,
( h4(e13) != e21
| h4(e13) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_18_848,plain,
( h4(e13) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_71,refute_18_847]) ).
cnf(refute_18_849,plain,
( e21 = op2(e21,e20)
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e20)) )],[refute_18_846,refute_18_848]) ).
cnf(refute_18_850,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_18_851,plain,
( h2(e13) = e20
| op2(e21,e20) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_18_849,refute_18_850]) ).
cnf(refute_18_852,plain,
( e23 != op2(e21,e20)
| op2(e21,e20) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_18_853,plain,
( e23 != op2(e21,e20)
| e23 = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_18_851,refute_18_852]) ).
cnf(refute_18_854,plain,
( e23 = e21
| h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e20)) )],[refute_18_836,refute_18_853]) ).
cnf(refute_18_855,plain,
( h2(e13) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_18_854,refute_18_13]) ).
cnf(refute_18_856,plain,
( h2(e13) != e20
| h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_857,plain,
( h4(op1(e12,e11)) != op2(e23,h2(e13))
| h4(op1(e12,e11)) = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_855,refute_18_856]) ).
cnf(refute_18_858,plain,
( h4(op1(e12,e11)) = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h2(e13))) )],[refute_18_305,refute_18_857]) ).
cnf(refute_18_859,plain,
( h1(e10) != op2(e23,e20)
| op2(e21,e20) != h1(e10)
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h1(e10)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_18_860,plain,
( h1(e10) != op2(e23,e20)
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e10)) )],[refute_18_762,refute_18_859]) ).
cnf(refute_18_861,plain,
( h1(e10) != op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_18_860,refute_18_405]) ).
cnf(refute_18_862,plain,
( e23 != op2(e23,e20)
| h1(e10) != e23
| h1(e10) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_18_863,plain,
( e23 != op2(e23,e20)
| h1(e10) = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_18_833,refute_18_862]) ).
cnf(refute_18_864,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e20)) )],[refute_18_863,refute_18_861]) ).
cnf(refute_18_865,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_18_162]) ).
cnf(refute_18_866,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_18_865,refute_18_633]) ).
cnf(refute_18_867,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_18_866,refute_18_636]) ).
cnf(refute_18_868,plain,
( e20 = e22
| e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_18_867,refute_18_397]) ).
cnf(refute_18_869,plain,
( e21 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_18_868,refute_18_399]) ).
cnf(refute_18_870,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_18_869,refute_18_530]) ).
cnf(refute_18_871,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_18_163]) ).
cnf(refute_18_872,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_18_871,refute_18_39]) ).
cnf(refute_18_873,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_18_164]) ).
cnf(refute_18_874,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_18_875,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_7,refute_18_874]) ).
cnf(refute_18_876,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_18_875,refute_18_873]) ).
cnf(refute_18_877,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_18_878,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_18_877,refute_18_876]) ).
cnf(refute_18_879,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_18_872,refute_18_878]) ).
cnf(refute_18_880,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_18_879,refute_18_73]) ).
cnf(refute_18_881,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_880,refute_18_11]) ).
cnf(refute_18_882,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_18_883,plain,
( op2(e23,e21) != e22
| e23 = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_18_881,refute_18_882]) ).
cnf(refute_18_884,plain,
( e23 = e22
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_18_870,refute_18_883]) ).
cnf(refute_18_885,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_18_884,refute_18_47]) ).
cnf(refute_18_886,plain,
( e23 != e23
| e23 = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_18_885,refute_18_424]) ).
cnf(refute_18_887,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_18_886,refute_18_864]) ).
cnf(refute_18_888,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_391,refute_18_887]) ).
cnf(refute_18_889,plain,
( h4(op1(e12,e11)) != op2(e23,e20)
| op2(e23,e20) != e22
| h4(op1(e12,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_18_890,plain,
( h4(op1(e12,e11)) != op2(e23,e20)
| h4(op1(e12,e11)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_18_888,refute_18_889]) ).
cnf(refute_18_891,plain,
( h4(op1(e12,e11)) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e20)) )],[refute_18_858,refute_18_890]) ).
cnf(refute_18_892,plain,
( h2(e13) != h4(op1(e12,e11))
| h4(op1(e12,e11)) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),e22) ),[0],$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_18_893,plain,
( h2(e13) != h4(op1(e12,e11))
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e22) )],[refute_18_891,refute_18_892]) ).
cnf(refute_18_894,plain,
( h2(e13) = e22
| op1(e12,e10) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),h4(op1(e12,e11))) )],[refute_18_349,refute_18_893]) ).
cnf(refute_18_895,plain,
h4(e11) != e22,
inference(canonicalize,[],[normalize_18_165]) ).
cnf(refute_18_896,plain,
( h2(e13) != e22
| h4(e11) != h2(e13)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_18_897,plain,
( h2(e13) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_108,refute_18_896]) ).
cnf(refute_18_898,plain,
h2(e13) != e22,
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_18_897,refute_18_895]) ).
cnf(refute_18_899,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_18_894,refute_18_898]) ).
cnf(refute_18_900,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_18_901,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) = op1(e12,e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_18_899,refute_18_900]) ).
cnf(refute_18_902,plain,
( e11 != op1(e12,e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_18_901,refute_18_290]) ).
cnf(refute_18_903,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_18_166]) ).
cnf(refute_18_904,plain,
( h4(e13) != e21
| h4(op1(e13,e11)) = e21
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_18_499,refute_18_827]) ).
cnf(refute_18_905,plain,
( h4(e13) != e21
| op1(e13,e11) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_18_904,refute_18_727]) ).
cnf(refute_18_906,plain,
( e21 != e21
| op1(e13,e11) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_831,refute_18_905]) ).
cnf(refute_18_907,plain,
( op1(e13,e11) = e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_906]) ).
cnf(refute_18_908,plain,
( op1(e12,e11) != e12
| op1(e13,e11) != e12
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_18_909,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e13,e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_18_907,refute_18_908]) ).
cnf(refute_18_910,plain,
( op1(e12,e11) != e12
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_18_909,refute_18_903]) ).
cnf(refute_18_911,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_18_167]) ).
cnf(refute_18_912,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_18_168]) ).
cnf(refute_18_913,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_18_914,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_309,refute_18_913]) ).
cnf(refute_18_915,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_18_914,refute_18_912]) ).
cnf(refute_18_916,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_18_911,refute_18_915]) ).
cnf(refute_18_917,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_18_918,plain,
( e12 != e12
| op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_18_916,refute_18_917]) ).
cnf(refute_18_919,plain,
( e12 != e12
| op1(e12,e11) = e10
| op1(e12,e11) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_18_918,refute_18_910]) ).
cnf(refute_18_920,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_18_825,refute_18_919]) ).
cnf(refute_18_921,plain,
( h4(op1(e12,e11)) != e22
| op1(e12,e11) != e10
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e22) ),[0,0],$fot(e10)]]) ).
cnf(refute_18_922,plain,
( h4(op1(e12,e11)) != e22
| h4(e10) = e22
| op1(e12,e11) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_18_920,refute_18_921]) ).
cnf(refute_18_923,plain,
( h4(e10) = e22
| op1(e12,e11) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e22) )],[refute_18_891,refute_18_922]) ).
cnf(refute_18_924,plain,
( op1(e12,e11) = e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_18_923,refute_18_642]) ).
cnf(refute_18_925,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_18_926,plain,
( e11 != e11
| e11 = op1(e12,e11)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_18_924,refute_18_925]) ).
cnf(refute_18_927,plain,
( e11 != e11
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_18_926,refute_18_902]) ).
cnf(refute_18_928,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_18_929,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_18_928,refute_18_927]) ).
cnf(refute_18_930,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_18_929,refute_18_289]) ).
cnf(refute_18_931,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_18_932,plain,
( e21 != e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_18_930,refute_18_931]) ).
cnf(refute_18_933,plain,
( e21 != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_18_932,refute_18_32]) ).
cnf(refute_18_934,plain,
op2(e20,e22) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_18_219,refute_18_933]) ).
cnf(refute_18_935,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_16
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 ),
inference(canonicalize,[],[normalize_18_169]) ).
cnf(refute_18_936,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_20
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_16 )],[refute_18_221,refute_18_935]) ).
cnf(refute_18_937,plain,
( ~ definitionFOFtoCNF_15
| ~ definitionFOFtoCNF_22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_20 )],[refute_18_235,refute_18_936]) ).
cnf(refute_18_938,plain,
( ~ definitionFOFtoCNF_15
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_22 )],[refute_18_288,refute_18_937]) ).
cnf(refute_18_939,plain,
op2(e20,e21) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_18_929,refute_18_938]) ).
cnf(refute_18_940,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_18_941,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_18_939,refute_18_940]) ).
cnf(refute_18_942,plain,
e21 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_18_941,refute_18_522]) ).
cnf(refute_18_943,plain,
( op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
inference(subst,[],[refute_18_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_18_944,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_18_943,refute_18_942]) ).
cnf(refute_18_945,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_18_934,refute_18_944]) ).
fof(negate_19_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_19_2,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
( h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_19_4,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_19_6,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
( h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_19_8,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_9,plain,
$false,
inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 01:25:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 215.84/215.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.84/215.99
% 215.84/215.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 217.63/217.78
%------------------------------------------------------------------------------